16Gamma2c | |

Alternating group:A4 | 12 (3) |

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

Burnside group:B(4,3) | |

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

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

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

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

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

Central product of UT(3,Z) and Q | |

Central product of UT(3,Z) and Z identifying center with 2Z | |

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:D16 | 16 (7) |

Dihedral group:D20 | 20 (4) |

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 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 Z2 | 24 (13) |

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 D16 and V4 | 64 (250) |

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

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

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

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 Dic12 and Z2 | 24 (7) |

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

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

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

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

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

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 S3 and S3 | 36 (10) |

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

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

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

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

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

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

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

Du Sautoy nilpotent group for an elliptic curve | |

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

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 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 Z8 | 32 (43) |

Holomorph of Z9 | 54 (6) |

Infinite dihedral group | |

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

Inner holomorph of D8 | 32 (49) |

M16 | 16 (6) |

M27 | 27 (4) |

M32 | 32 (17) |

M64 | 64 (51) |

M81 | 81 (6) |

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

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) |

Quaternion group | 8 (4) |

Quotient of UT(3,Q) by a central Z | |

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 Z3 and D8 with action kernel V4 | 24 (8) |

Semidirect product of Z8 and Z4 of M-type | 32 (4) |

Semidirect product of Z8 and Z4 of dihedral type | 32 (14) |

Semidirect product of Z8 and Z4 of semidihedral type | 32 (13) |

Semidirect product of cyclic group of prime-square order and cyclic group of prime order | |

SmallGroup(128,1015) | 128 (1015) |

SmallGroup(16,3) | 16 (3) |

SmallGroup(243,16) | 243 (16) |

SmallGroup(243,19) | 243 (19) |

SmallGroup(243,20) | 243 (20) |

SmallGroup(256,6745) | 256 (6745) |

SmallGroup(32,10) | 32 (10) |

SmallGroup(32,15) | 32 (15) |

SmallGroup(32,2) | 32 (2) |

SmallGroup(32,24) | 32 (24) |

SmallGroup(32,27) | 32 (27) |

SmallGroup(32,28) | 32 (28) |

SmallGroup(32,29) | 32 (29) |

SmallGroup(32,30) | 32 (30) |

SmallGroup(32,31) | 32 (31) |

SmallGroup(32,32) | 32 (32) |

SmallGroup(32,33) | 32 (33) |

SmallGroup(32,35) | 32 (35) |

SmallGroup(32,44) | 32 (44) |

SmallGroup(32,5) | 32 (5) |

SmallGroup(32,7) | 32 (7) |

SmallGroup(32,8) | 32 (8) |

SmallGroup(32,9) | 32 (9) |

SmallGroup(64,113) | 64 (113) |

SmallGroup(64,114) | 64 (114) |

SmallGroup(64,17) | 64 (17) |

SmallGroup(64,210) | 64 (210) |

SmallGroup(64,25) | 64 (25) |

SmallGroup(81,3) | 81 (3) |

SmallGroup(81,8) | 81 (8) |

SmallGroup(81,9) | 81 (9) |

Sylow subgroup of holomorph of Z27 | 243 (22) |

Symmetric group:S3 | 6 (1) |

Unitriangular matrix group of degree three over quotient of polynomial ring over F2 by square of indeterminate | 64 (215) |

Unitriangular matrix group:UT(3,3) | 27 (3) |

Unitriangular matrix group:UT(3,4) | 64 (242) |

Unitriangular matrix group:UT(3,8) | |

Unitriangular matrix group:UT(3,9) | 729 (469) |

Unitriangular matrix group:UT(3,Q) | |

Unitriangular matrix group:UT(3,Z) | |

Unitriangular matrix group:UT(3,Z4) | 64 (18) |

Unitriangular matrix group:UT(3,Z8) | |

Unitriangular matrix group:UT(3,p) | |

Unitriangular matrix group:UT(4,2) | 64 (138) |

Unitriangular matrix group:UT(4,3) | 729 (307) |

Wreath product of Z3 and Z3 | 81 (7) |

Wreath product of Z4 and Z2 | 32 (11) |