| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C22⋊C4) = (C22×C8)⋊C2 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.1(C2^2:C4) | 64,89 |
| C22.2(C22⋊C4) = M4(2).8C22 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22 | 16 | 4 | C2^2.2(C2^2:C4) | 64,94 |
| C22.3(C22⋊C4) = C23.24D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.3(C2^2:C4) | 64,97 |
| C22.4(C22⋊C4) = C23.36D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.4(C2^2:C4) | 64,98 |
| C22.5(C22⋊C4) = C42⋊C22 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C22 | 16 | 4 | C2^2.5(C2^2:C4) | 64,102 |
| C22.6(C22⋊C4) = C4.9C42 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 16 | 4 | C2^2.6(C2^2:C4) | 64,18 |
| C22.7(C22⋊C4) = C23.9D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 16 | | C2^2.7(C2^2:C4) | 64,23 |
| C22.8(C22⋊C4) = M4(2)⋊4C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 16 | 4 | C2^2.8(C2^2:C4) | 64,25 |
| C22.9(C22⋊C4) = C2≀C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 8 | 4+ | C2^2.9(C2^2:C4) | 64,32 |
| C22.10(C22⋊C4) = C23.D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 16 | 4 | C2^2.10(C2^2:C4) | 64,33 |
| C22.11(C22⋊C4) = C42⋊C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 8 | 4+ | C2^2.11(C2^2:C4) | 64,34 |
| C22.12(C22⋊C4) = C42⋊3C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 16 | 4 | C2^2.12(C2^2:C4) | 64,35 |
| C22.13(C22⋊C4) = C42.C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 16 | 4 | C2^2.13(C2^2:C4) | 64,36 |
| C22.14(C22⋊C4) = C42.3C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 16 | 4- | C2^2.14(C2^2:C4) | 64,37 |
| C22.15(C22⋊C4) = C23.34D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 32 | | C2^2.15(C2^2:C4) | 64,62 |
| C22.16(C22⋊C4) = C24.4C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 16 | | C2^2.16(C2^2:C4) | 64,88 |
| C22.17(C22⋊C4) = C23.37D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 16 | | C2^2.17(C2^2:C4) | 64,99 |
| C22.18(C22⋊C4) = C23.38D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C22 | 32 | | C2^2.18(C2^2:C4) | 64,100 |
| C22.19(C22⋊C4) = C23⋊C8 | central extension (φ=1) | 16 | | C2^2.19(C2^2:C4) | 64,4 |
| C22.20(C22⋊C4) = C22.M4(2) | central extension (φ=1) | 32 | | C2^2.20(C2^2:C4) | 64,5 |
| C22.21(C22⋊C4) = D4⋊C8 | central extension (φ=1) | 32 | | C2^2.21(C2^2:C4) | 64,6 |
| C22.22(C22⋊C4) = Q8⋊C8 | central extension (φ=1) | 64 | | C2^2.22(C2^2:C4) | 64,7 |
| C22.23(C22⋊C4) = C22.7C42 | central extension (φ=1) | 64 | | C2^2.23(C2^2:C4) | 64,17 |
| C22.24(C22⋊C4) = C42⋊6C4 | central extension (φ=1) | 16 | | C2^2.24(C2^2:C4) | 64,20 |
| C22.25(C22⋊C4) = C22.4Q16 | central extension (φ=1) | 64 | | C2^2.25(C2^2:C4) | 64,21 |
| C22.26(C22⋊C4) = C22.C42 | central extension (φ=1) | 32 | | C2^2.26(C2^2:C4) | 64,24 |
| C22.27(C22⋊C4) = C2×C2.C42 | central extension (φ=1) | 64 | | C2^2.27(C2^2:C4) | 64,56 |
| C22.28(C22⋊C4) = C2×C22⋊C8 | central extension (φ=1) | 32 | | C2^2.28(C2^2:C4) | 64,87 |
| C22.29(C22⋊C4) = C2×C23⋊C4 | central extension (φ=1) | 16 | | C2^2.29(C2^2:C4) | 64,90 |
| C22.30(C22⋊C4) = C2×C4.D4 | central extension (φ=1) | 16 | | C2^2.30(C2^2:C4) | 64,92 |
| C22.31(C22⋊C4) = C2×C4.10D4 | central extension (φ=1) | 32 | | C2^2.31(C2^2:C4) | 64,93 |
| C22.32(C22⋊C4) = C2×D4⋊C4 | central extension (φ=1) | 32 | | C2^2.32(C2^2:C4) | 64,95 |
| C22.33(C22⋊C4) = C2×Q8⋊C4 | central extension (φ=1) | 64 | | C2^2.33(C2^2:C4) | 64,96 |
| C22.34(C22⋊C4) = C2×C4≀C2 | central extension (φ=1) | 16 | | C2^2.34(C2^2:C4) | 64,101 |
| C22.35(C22⋊C4) = C22.SD16 | central stem extension (φ=1) | 16 | | C2^2.35(C2^2:C4) | 64,8 |
| C22.36(C22⋊C4) = C23.31D4 | central stem extension (φ=1) | 16 | | C2^2.36(C2^2:C4) | 64,9 |
| C22.37(C22⋊C4) = C42.C22 | central stem extension (φ=1) | 32 | | C2^2.37(C2^2:C4) | 64,10 |
| C22.38(C22⋊C4) = C42.2C22 | central stem extension (φ=1) | 64 | | C2^2.38(C2^2:C4) | 64,11 |
| C22.39(C22⋊C4) = C4.D8 | central stem extension (φ=1) | 32 | | C2^2.39(C2^2:C4) | 64,12 |
| C22.40(C22⋊C4) = C4.10D8 | central stem extension (φ=1) | 64 | | C2^2.40(C2^2:C4) | 64,13 |
| C22.41(C22⋊C4) = C4.6Q16 | central stem extension (φ=1) | 64 | | C2^2.41(C2^2:C4) | 64,14 |