| 16Gamma2c | |
| Central product of D8 and Q8 | 32 (50) |
| 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 | |
| Dihedral group:D8 | 8 (3) |
| 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 M16 and V4 | 64 (247) |
| Direct product of M16 and Z2 | 32 (37) |
| Direct product of M16 and Z4 | 64 (85) |
| 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 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 | |
| M16 | 16 (6) |
| M27 | 27 (4) |
| M32 | 32 (17) |
| M64 | 64 (51) |
| M81 | 81 (6) |
| Nontrivial semidirect product of Z4 and Z8 | 32 (12) |
| Nontrivial semidirect product of Z9 and Z9 | 81 (4) |
| Quaternion group | 8 (4) |
| Quotient of UT(3,Q) by a central Z | |
| Semidirect product of Z8 and Z4 of M-type | 32 (4) |
| Semidirect product of cyclic group of prime-square order and cyclic group of prime order | |
| SmallGroup(128,1015) | 128 (1015) |
| SmallGroup(256,6745) | 256 (6745) |
| SmallGroup(64,113) | 64 (113) |
| SmallGroup(64,114) | 64 (114) |
| SmallGroup(64,17) | 64 (17) |
| SmallGroup(64,210) | 64 (210) |
| SmallGroup(81,3) | 81 (3) |
| 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) | |
