| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C2.1(C24.C22) = C24.624C23 | central extension (φ=1) | 128 | | C2.1(C2^4.C2^2) | 128,166 |
| C2.2(C24.C22) = C24.626C23 | central extension (φ=1) | 128 | | C2.2(C2^4.C2^2) | 128,168 |
| C2.3(C24.C22) = C23⋊2C42 | central extension (φ=1) | 64 | | C2.3(C2^4.C2^2) | 128,169 |
| C2.4(C24.C22) = C22⋊C4⋊4C8 | central extension (φ=1) | 64 | | C2.4(C2^4.C2^2) | 128,655 |
| C2.5(C24.C22) = C24.5Q8 | central stem extension (φ=1) | 64 | | C2.5(C2^4.C2^2) | 128,171 |
| C2.6(C24.C22) = C24.52D4 | central stem extension (φ=1) | 64 | | C2.6(C2^4.C2^2) | 128,172 |
| C2.7(C24.C22) = C24.632C23 | central stem extension (φ=1) | 128 | | C2.7(C2^4.C2^2) | 128,174 |
| C2.8(C24.C22) = C24.633C23 | central stem extension (φ=1) | 128 | | C2.8(C2^4.C2^2) | 128,175 |
| C2.9(C24.C22) = C23.9M4(2) | central stem extension (φ=1) | 64 | | C2.9(C2^4.C2^2) | 128,656 |
| C2.10(C24.C22) = D4⋊C4⋊C4 | central stem extension (φ=1) | 64 | | C2.10(C2^4.C2^2) | 128,657 |
| C2.11(C24.C22) = C4.67(C4×D4) | central stem extension (φ=1) | 64 | | C2.11(C2^4.C2^2) | 128,658 |
| C2.12(C24.C22) = C4.68(C4×D4) | central stem extension (φ=1) | 128 | | C2.12(C2^4.C2^2) | 128,659 |
| C2.13(C24.C22) = C2.(C4×Q16) | central stem extension (φ=1) | 128 | | C2.13(C2^4.C2^2) | 128,660 |
| C2.14(C24.C22) = M4(2).24D4 | central stem extension (φ=1) | 32 | | C2.14(C2^4.C2^2) | 128,661 |
| C2.15(C24.C22) = C4.10D4⋊3C4 | central stem extension (φ=1) | 64 | | C2.15(C2^4.C2^2) | 128,662 |
| C2.16(C24.C22) = C4.D4⋊3C4 | central stem extension (φ=1) | 32 | | C2.16(C2^4.C2^2) | 128,663 |
| C2.17(C24.C22) = C42.427D4 | central stem extension (φ=1) | 16 | 4 | C2.17(C2^4.C2^2) | 128,664 |
| C2.18(C24.C22) = C2.(C8⋊8D4) | central stem extension (φ=1) | 128 | | C2.18(C2^4.C2^2) | 128,665 |
| C2.19(C24.C22) = C2.(C8⋊7D4) | central stem extension (φ=1) | 64 | | C2.19(C2^4.C2^2) | 128,666 |
| C2.20(C24.C22) = C2.(C8⋊D4) | central stem extension (φ=1) | 128 | | C2.20(C2^4.C2^2) | 128,667 |
| C2.21(C24.C22) = C2.(C8⋊2D4) | central stem extension (φ=1) | 64 | | C2.21(C2^4.C2^2) | 128,668 |
| C2.22(C24.C22) = C42.428D4 | central stem extension (φ=1) | 32 | | C2.22(C2^4.C2^2) | 128,669 |
| C2.23(C24.C22) = C42.107D4 | central stem extension (φ=1) | 32 | | C2.23(C2^4.C2^2) | 128,670 |