Alternating group:A4 + | 12 (3) + |

Alternating group:A5 + | 60 (5) + |

Alternating group:A6 + | 360 (118) + |

Automorphism group of alternating group:A6 + | 1,440 (5841) + |

Binary octahedral group + | 48 (28) + |

Burnside group:B(3,3) + | 2,187 (4487) + |

Central product of D16 and Z4 + | 32 (42) + |

Central product of D8 and Q8 + | 32 (50) + |

Central product of D8 and Z12 + | 48 (47) + |

Central product of D8 and Z16 + | 64 (185) + |

Central product of D8 and Z4 + | 16 (13) + |

Central product of D8 and Z8 + | 32 (38) + |

Central product of M16 and Z8 over common Z2 + | 64 (86) + |

Central product of SL(2,3) and Z4 + | 48 (33) + |

Central product of SL(2,5) and Z4 + | 240 (93) + |

Central product of UT(3,3) and Z9 + | 81 (14) + |

Central product of Z9 and wreath product of Z3 and Z3 + | 243 (55) + |

Cyclic group:Z10 + | 10 (2) + |

Cyclic group:Z12 + | 12 (2) + |

Cyclic group:Z128 + | 128 (1) + |

Cyclic group:Z16 + | 16 (1) + |

Cyclic group:Z18 + | 18 (2) + |

Cyclic group:Z2 + | 2 (1) + |

Cyclic group:Z20 + | 20 (2) + |

Cyclic group:Z24 + | 24 (2) + |

Cyclic group:Z243 + | 243 (1) + |

Cyclic group:Z27 + | 27 (1) + |

Cyclic group:Z3 + | 3 (1) + |

Cyclic group:Z32 + | 32 (1) + |

Cyclic group:Z36 + | 36 (2) + |

Cyclic group:Z4 + | 4 (1) + |

Cyclic group:Z40 + | 40 (2) + |

Cyclic group:Z5 + | 5 (1) + |

Cyclic group:Z64 + | 64 (1) + |

Cyclic group:Z7 + | 7 (1) + |

Cyclic group:Z8 + | 8 (1) + |

Cyclic group:Z81 + | 81 (1) + |

Cyclic group:Z9 + | 9 (1) + |

Dicyclic group:Dic12 + | 12 (1) + |

Dicyclic group:Dic20 + | 20 (1) + |

Dicyclic group:Dic24 + | 24 (4) + |

Dihedral group:D10 + | 10 (1) + |

Dihedral group:D12 + | 12 (4) + |

Dihedral group:D128 + | 128 (161) + |

Dihedral group:D14 + | 14 (1) + |

Dihedral group:D16 + | 16 (7) + |

Dihedral group:D18 + | 18 (1) + |

Dihedral group:D20 + | 20 (4) + |

Dihedral group:D24 + | 24 (6) + |

Dihedral group:D256 + | 256 (539) + |

Dihedral group:D32 + | 32 (18) + |

Dihedral group:D64 + | 64 (52) + |

Dihedral group:D8 + | 8 (3) + |

Direct product of A4 and A4 + | 144 (184) + |

Direct product of A4 and D8 + | 96 (197) + |

Direct product of A4 and E8 + | 96 (228) + |

Direct product of A4 and Q8 + | 96 (199) + |

Direct product of A4 and S3 + | 72 (44) + |

Direct product of A4 and V4 + | 48 (49) + |

Direct product of A4 and Z2 + | 24 (13) + |

Direct product of A4 and Z3 + | 36 (11) + |

Direct product of A4 and Z4 + | 48 (31) + |

Direct product of A4 and Z4 and Z2 + | 96 (196) + |

Direct product of A4 and Z5 + | 60 (9) + |

Direct product of A4 and Z8 + | 96 (73) + |

Direct product of A5 and V4 + | 240 (190) + |

Direct product of A5 and Z2 + | 120 (35) + |

Direct product of A5 and Z4 + | 240 (92) + |

Direct product of A5 and Z7 + | 420 (13) + |

Direct product of A6 and Z2 + | 720 (766) + |

Direct product of D12 and Z2 + | 24 (14) + |

Direct product of D12 and Z3 + | 36 (12) + |

Direct product of D16 and V4 + | 64 (250) + |

Direct product of D16 and Z2 + | 32 (39) + |

Direct product of D16 and Z3 + | 48 (25) + |

Direct product of D16 and Z4 + | 64 (118) + |

Direct product of D32 and Z2 + | 64 (186) + |

Direct product of D8 and D8 + | 64 (226) + |

Direct product of D8 and E8 + | 64 (261) + |

Direct product of D8 and Q8 + | 64 (230) + |

Direct product of D8 and S3 + | 48 (38) + |

Direct product of D8 and V4 + | 32 (46) + |

Direct product of D8 and Z2 + | 16 (11) + |

Direct product of D8 and Z3 + | 24 (10) + |

Direct product of D8 and Z4 + | 32 (25) + |

Direct product of D8 and Z4 and Z2 + | 64 (196) + |

Direct product of D8 and Z5 + | 40 (10) + |

Direct product of D8 and Z6 + | 48 (45) + |

Direct product of D8 and Z7 + | 56 (9) + |

Direct product of Dic12 and Z2 + | 24 (7) + |

Direct product of E16 and Z4 + | 64 (260) + |

Direct product of E8 and Z3 + | 24 (15) + |

Direct product of E8 and Z4 + | 32 (45) + |

Direct product of M16 and V4 + | 64 (247) + |

Direct product of M16 and Z2 + | 32 (37) + |

Direct product of M16 and Z3 + | 48 (24) + |

Direct product of M16 and Z4 + | 64 (85) + |

Direct product of M27 and Z3 + | 81 (13) + |

Direct product of M32 and Z2 + | 64 (184) + |

Direct product of Q16 and V4 + | 64 (252) + |

Direct product of Q16 and Z2 + | 32 (41) + |

Direct product of Q16 and Z3 + | 48 (27) + |

Direct product of Q16 and Z4 + | 64 (120) + |

Direct product of Q32 and Z2 + | 64 (188) + |

Direct product of Q8 and Q8 + | 64 (239) + |

Direct product of Q8 and S3 + | 48 (40) + |

Direct product of Q8 and V4 + | 32 (47) + |

Direct product of Q8 and Z2 + | 16 (12) + |

Direct product of Q8 and Z3 + | 24 (11) + |

Direct product of Q8 and Z4 + | 32 (26) + |

Direct product of Q8 and Z5 + | 40 (11) + |

Direct product of S3 and S3 + | 36 (10) + |

Direct product of S3 and Z3 + | 18 (3) + |

Direct product of S3 and Z4 + | 24 (5) + |

Direct product of S4 and V4 + | 96 (226) + |

Direct product of S4 and Z2 + | 48 (48) + |

Direct product of S4 and Z3 + | 72 (42) + |

Direct product of S4 and Z4 + | 96 (186) + |

Direct product of S4 and Z5 + | 120 (37) + |

Direct product of S5 and Z2 + | 240 (189) + |

Direct product of SD16 and V4 + | 64 (251) + |

Direct product of SD16 and Z2 + | 32 (40) + |

Direct product of SD16 and Z3 + | 48 (26) + |

Direct product of SD16 and Z4 + | 64 (119) + |

Direct product of SD32 and Z2 + | 64 (187) + |

Direct product of SL(2,3) and V4 + | 96 (198) + |

Direct product of SL(2,3) and Z2 + | 48 (32) + |

Direct product of SL(2,3) and Z3 + | 72 (25) + |

Direct product of SL(2,3) and Z4 + | 96 (69) + |

Direct product of SL(2,5) and Z2 + | 240 (94) + |

Direct product of SmallGroup(16,13) and V4 + | 64 (263) + |

Direct product of SmallGroup(16,13) and Z2 + | 32 (48) + |

Direct product of SmallGroup(16,13) and Z4 + | 64 (198) + |

Direct product of SmallGroup(16,3) and V4 + | 64 (193) + |

Direct product of SmallGroup(16,3) and Z2 + | 32 (22) + |

Direct product of SmallGroup(16,3) and Z3 + | 48 (21) + |

Direct product of SmallGroup(16,3) and Z4 + | 64 (58) + |

Direct product of SmallGroup(16,4) and V4 + | 64 (194) + |

Direct product of SmallGroup(16,4) and Z2 + | 32 (23) + |

Direct product of SmallGroup(16,4) and Z4 + | 64 (59) + |

Direct product of SmallGroup(32,12) and Z2 + | 64 (103) + |

Direct product of SmallGroup(32,13) and Z2 + | 64 (106) + |

Direct product of SmallGroup(32,14) and Z2 + | 64 (107) + |

Direct product of SmallGroup(32,2) and Z2 + | 64 (56) + |

Direct product of SmallGroup(32,24) and Z2 + | 64 (195) + |

Direct product of SmallGroup(32,27) and Z2 + | 64 (202) + |

Direct product of SmallGroup(32,33) and Z2 + | 64 (209) + |

Direct product of SmallGroup(32,4) and Z2 + | 64 (84) + |

Direct product of SmallGroup(32,49) and Z2 + | 64 (264) + |

Direct product of SmallGroup(32,50) and Z2 + | 64 (265) + |

Direct product of Z10 and Z2 + | 20 (5) + |

Direct product of Z16 and V4 + | 64 (183) + |

Direct product of Z16 and Z2 + | 32 (16) + |

Direct product of Z16 and Z4 + | 64 (26) + |

Direct product of Z27 and E9 + | 243 (48) + |

Direct product of Z27 and Z3 + | 81 (5) + |

Direct product of Z27 and Z9 + | 243 (10) + |

Direct product of Z32 and Z2 + | 64 (50) + |

Direct product of Z4 and V4 + | 16 (10) + |

Direct product of Z4 and Z2 + | 8 (2) + |

Direct product of Z4 and Z4 + | 16 (2) + |

Direct product of Z4 and Z4 and V4 + | 64 (192) + |

Direct product of Z4 and Z4 and Z2 + | 32 (21) + |

Direct product of Z4 and Z4 and Z4 + | 64 (55) + |

Direct product of Z6 and Z2 + | 12 (5) + |

Direct product of Z6 and Z3 + | 18 (5) + |

Direct product of Z6 and Z4 + | 24 (9) + |

Direct product of Z8 and D8 + | 64 (115) + |

Direct product of Z8 and E8 + | 64 (246) + |

Direct product of Z8 and V4 + | 32 (36) + |

Direct product of Z8 and Z2 + | 16 (5) + |

Direct product of Z8 and Z4 + | 32 (3) + |

Direct product of Z8 and Z4 and V4 + | 128 (1601) + |

Direct product of Z8 and Z4 and Z2 + | 64 (83) + |

Direct product of Z8 and Z8 + | 64 (2) + |

Direct product of Z81 and Z3 + | 243 (23) + |

Direct product of Z9 and E27 + | 243 (61) + |

Direct product of Z9 and E9 + | 81 (11) + |

Direct product of Z9 and Z3 + | 27 (2) + |

Direct product of Z9 and Z9 + | 81 (2) + |

Direct product of Z9 and Z9 and Z3 + | 243 (31) + |

Direct product of holomorph of Z8 and Z2 + | 64 (254) + |

Direct product of prime-cube order group:U(3,3) and Z3 + | 81 (12) + |

Double cover of symmetric group:S5 of minus type + | 240 (89) + |

Double cover of symmetric group:S5 of plus type + | 240 (90) + |

Elementary abelian group:E16 + | 16 (14) + |

Elementary abelian group:E243 + | 243 (67) + |

Elementary abelian group:E27 + | 27 (5) + |

Elementary abelian group:E32 + | 32 (51) + |

Elementary abelian group:E64 + | 64 (267) + |

Elementary abelian group:E8 + | 8 (5) + |

Elementary abelian group:E81 + | 81 (15) + |

Elementary abelian group:E9 + | 9 (2) + |

Faithful semidirect product of E8 and Z4 + | 32 (6) + |

Free product of class two of two Klein four-groups + | 256 (8935) + |

General affine group:GA(1,5) + | 20 (3) + |

General affine group:GA(1,7) + | 42 (1) + |

General affine group:GA(1,8) + | 56 (11) + |

General affine group:GA(1,9) + | 72 (39) + |

General affine group:GA(2,3) + | 432 (734) + |

General linear group:GL(2,3) + | 48 (29) + |

General linear group:GL(2,4) + | 180 (19) + |

General linear group:GL(2,Z4) + | 96 (195) + |

General semiaffine group:GammaA(1,9) + | 144 (182) + |

General semilinear group:GammaL(1,8) + | 21 (1) + |

Generalized dihedral group for E9 + | 18 (4) + |

Generalized dihedral group for direct product of Z4 and Z4 + | 32 (34) + |

Generalized quaternion group:Q16 + | 16 (9) + |

Generalized quaternion group:Q32 + | 32 (20) + |

Generalized quaternion group:Q64 + | 64 (54) + |

Holomorph of D8 + | 64 (134) + |

Holomorph of Z8 + | 32 (43) + |

Holomorph of Z9 + | 54 (6) + |

Inner automorphism group of wreath product of Z2 and A4 + | 96 (70) + |

Inner automorphism group of wreath product of Z2 and A5 + | 960 (11358) + |

Inner automorphism group of wreath product of Z5 and Z5 + | 3,125 (30) + |

Inner holomorph of D8 + | 32 (49) + |

Klein four-group + | 4 (2) + |

M16 + | 16 (6) + |

M27 + | 27 (4) + |

M32 + | 32 (17) + |

M64 + | 64 (51) + |

M81 + | 81 (6) + |

Mathieu group:M10 + | 720 (765) + |

Mathieu group:M9 + | 72 (41) + |

Nontrivial semidirect product of Z3 and Z8 + | 24 (1) + |

Nontrivial semidirect product of Z4 and Z16 + | 64 (44) + |

Nontrivial semidirect product of Z4 and Z4 + | 16 (4) + |

Nontrivial semidirect product of Z4 and Z8 + | 32 (12) + |

Nontrivial semidirect product of Z7 and Z9 + | 63 (1) + |

Nontrivial semidirect product of Z9 and Z9 + | 81 (4) + |

Panferov Lie group for 5 + | 3,125 (33) + |

Projective general linear group:PGL(2,11) + | 1,320 (133) + |

Projective general linear group:PGL(2,7) + | 336 (208) + |

Projective general linear group:PGL(2,9) + | 720 (764) + |

Projective general linear group:PGL(2,Z9) + | 648 (703) + |

Projective special linear group:PSL(2,11) + | 660 (13) + |

Projective special linear group:PSL(2,13) + | 1,092 (25) + |

Projective special linear group:PSL(2,8) + | 504 (156) + |

Projective special linear group:PSL(2,Z9) + | 324 (160) + |

Projective special linear group:PSL(3,2) + | 168 (42) + |

Quaternion group + | 8 (4) + |

Ree group:Ree(3) + | 1,512 (779) + |

Semidihedral group:SD128 + | 128 (162) + |

Semidihedral group:SD16 + | 16 (8) + |

Semidihedral group:SD256 + | 256 (540) + |

Semidihedral group:SD32 + | 32 (19) + |

Semidihedral group:SD64 + | 64 (53) + |

Semidirect product of Z16 and Z4 of M-type + | 64 (27) + |