| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C8.1(C22×C4) = C4×C8.C22 | φ: C22×C4/C4 → C22 ⊆ Aut C8 | 64 | | C8.1(C2^2xC4) | 128,1677 |
| C8.2(C22×C4) = C42.275C23 | φ: C22×C4/C4 → C22 ⊆ Aut C8 | 32 | | C8.2(C2^2xC4) | 128,1678 |
| C8.3(C22×C4) = C42.276C23 | φ: C22×C4/C4 → C22 ⊆ Aut C8 | 64 | | C8.3(C2^2xC4) | 128,1679 |
| C8.4(C22×C4) = C42.283C23 | φ: C22×C4/C4 → C22 ⊆ Aut C8 | 32 | 4 | C8.4(C2^2xC4) | 128,1687 |
| C8.5(C22×C4) = M4(2).51D4 | φ: C22×C4/C4 → C22 ⊆ Aut C8 | 16 | 4 | C8.5(C2^2xC4) | 128,1688 |
| C8.6(C22×C4) = C2×D8⋊2C4 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | | C8.6(C2^2xC4) | 128,876 |
| C8.7(C22×C4) = C23.13D8 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | 4 | C8.7(C2^2xC4) | 128,877 |
| C8.8(C22×C4) = C2×M5(2)⋊C2 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | | C8.8(C2^2xC4) | 128,878 |
| C8.9(C22×C4) = C2×C8.17D4 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 64 | | C8.9(C2^2xC4) | 128,879 |
| C8.10(C22×C4) = C23.21SD16 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | 4 | C8.10(C2^2xC4) | 128,880 |
| C8.11(C22×C4) = Q32⋊C4 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | 8- | C8.11(C2^2xC4) | 128,912 |
| C8.12(C22×C4) = D16⋊C4 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 16 | 8+ | C8.12(C2^2xC4) | 128,913 |
| C8.13(C22×C4) = C24.100D4 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | | C8.13(C2^2xC4) | 128,1643 |
| C8.14(C22×C4) = C4○D4.7Q8 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 64 | | C8.14(C2^2xC4) | 128,1644 |
| C8.15(C22×C4) = C4○D4.8Q8 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 64 | | C8.15(C2^2xC4) | 128,1645 |
| C8.16(C22×C4) = C2×M4(2).C4 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | | C8.16(C2^2xC4) | 128,1647 |
| C8.17(C22×C4) = M4(2).29C23 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | 4 | C8.17(C2^2xC4) | 128,1648 |
| C8.18(C22×C4) = C2×Q16⋊C4 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 128 | | C8.18(C2^2xC4) | 128,1673 |
| C8.19(C22×C4) = C42.383D4 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 64 | | C8.19(C2^2xC4) | 128,1675 |
| C8.20(C22×C4) = C42.277C23 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | | C8.20(C2^2xC4) | 128,1680 |
| C8.21(C22×C4) = C42.278C23 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | | C8.21(C2^2xC4) | 128,1681 |
| C8.22(C22×C4) = C42.279C23 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 64 | | C8.22(C2^2xC4) | 128,1682 |
| C8.23(C22×C4) = C42.280C23 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 64 | | C8.23(C2^2xC4) | 128,1683 |
| C8.24(C22×C4) = C42.281C23 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 64 | | C8.24(C2^2xC4) | 128,1684 |
| C8.25(C22×C4) = C2×C8.26D4 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | | C8.25(C2^2xC4) | 128,1686 |
| C8.26(C22×C4) = M4(2)○D8 | φ: C22×C4/C22 → C22 ⊆ Aut C8 | 32 | 4 | C8.26(C2^2xC4) | 128,1689 |
| C8.27(C22×C4) = C2×C2.D16 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.27(C2^2xC4) | 128,868 |
| C8.28(C22×C4) = C2×C2.Q32 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 128 | | C8.28(C2^2xC4) | 128,869 |
| C8.29(C22×C4) = C23.24D8 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.29(C2^2xC4) | 128,870 |
| C8.30(C22×C4) = C23.39D8 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.30(C2^2xC4) | 128,871 |
| C8.31(C22×C4) = C23.40D8 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 32 | | C8.31(C2^2xC4) | 128,872 |
| C8.32(C22×C4) = C23.41D8 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.32(C2^2xC4) | 128,873 |
| C8.33(C22×C4) = C2×D8.C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.33(C2^2xC4) | 128,874 |
| C8.34(C22×C4) = C23.20SD16 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 32 | 4 | C8.34(C2^2xC4) | 128,875 |
| C8.35(C22×C4) = C4×D16 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.35(C2^2xC4) | 128,904 |
| C8.36(C22×C4) = C4×SD32 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.36(C2^2xC4) | 128,905 |
| C8.37(C22×C4) = C4×Q32 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 128 | | C8.37(C2^2xC4) | 128,906 |
| C8.38(C22×C4) = SD32⋊3C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.38(C2^2xC4) | 128,907 |
| C8.39(C22×C4) = Q32⋊4C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 128 | | C8.39(C2^2xC4) | 128,908 |
| C8.40(C22×C4) = D16⋊4C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.40(C2^2xC4) | 128,909 |
| C8.41(C22×C4) = C8○D16 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 32 | 2 | C8.41(C2^2xC4) | 128,910 |
| C8.42(C22×C4) = D16⋊5C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 32 | 4 | C8.42(C2^2xC4) | 128,911 |
| C8.43(C22×C4) = C2×C4×Q16 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 128 | | C8.43(C2^2xC4) | 128,1670 |
| C8.44(C22×C4) = C2×C8○D8 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 32 | | C8.44(C2^2xC4) | 128,1685 |
| C8.45(C22×C4) = C4×C4○D8 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.45(C2^2xC4) | 128,1671 |
| C8.46(C22×C4) = C2×C8○2M4(2) | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.46(C2^2xC4) | 128,1604 |
| C8.47(C22×C4) = M4(2)○2M4(2) | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 32 | | C8.47(C2^2xC4) | 128,1605 |
| C8.48(C22×C4) = C4×C8○D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.48(C2^2xC4) | 128,1606 |
| C8.49(C22×C4) = D4.5C42 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.49(C2^2xC4) | 128,1607 |
| C8.50(C22×C4) = C2×D4○C16 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C8 | 64 | | C8.50(C2^2xC4) | 128,2138 |
| C8.51(C22×C4) = C2×C16⋊3C4 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 128 | | C8.51(C2^2xC4) | 128,888 |
| C8.52(C22×C4) = C2×C16⋊4C4 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 128 | | C8.52(C2^2xC4) | 128,889 |
| C8.53(C22×C4) = C23.25D8 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 64 | | C8.53(C2^2xC4) | 128,890 |
| C8.54(C22×C4) = M5(2)⋊1C4 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 64 | | C8.54(C2^2xC4) | 128,891 |
| C8.55(C22×C4) = C2×C8.4Q8 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 64 | | C8.55(C2^2xC4) | 128,892 |
| C8.56(C22×C4) = M5(2).1C4 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 32 | 4 | C8.56(C2^2xC4) | 128,893 |
| C8.57(C22×C4) = C2×C23.25D4 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 64 | | C8.57(C2^2xC4) | 128,1641 |
| C8.58(C22×C4) = C2×C8.Q8 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 32 | | C8.58(C2^2xC4) | 128,886 |
| C8.59(C22×C4) = M5(2)⋊3C4 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 32 | 4 | C8.59(C2^2xC4) | 128,887 |
| C8.60(C22×C4) = C22×C8.C4 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 64 | | C8.60(C2^2xC4) | 128,1646 |
| C8.61(C22×C4) = C2×C16⋊C4 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 32 | | C8.61(C2^2xC4) | 128,841 |
| C8.62(C22×C4) = C8.23C42 | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 32 | 4 | C8.62(C2^2xC4) | 128,842 |
| C8.63(C22×C4) = C22×M5(2) | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 64 | | C8.63(C2^2xC4) | 128,2137 |
| C8.64(C22×C4) = Q8○M5(2) | φ: C22×C4/C23 → C2 ⊆ Aut C8 | 32 | 4 | C8.64(C2^2xC4) | 128,2139 |
| C8.65(C22×C4) = C2×C16⋊5C4 | central extension (φ=1) | 128 | | C8.65(C2^2xC4) | 128,838 |
| C8.66(C22×C4) = C4×M5(2) | central extension (φ=1) | 64 | | C8.66(C2^2xC4) | 128,839 |
| C8.67(C22×C4) = C16○2M5(2) | central extension (φ=1) | 64 | | C8.67(C2^2xC4) | 128,840 |
| C8.68(C22×C4) = C2×M6(2) | central extension (φ=1) | 64 | | C8.68(C2^2xC4) | 128,989 |
| C8.69(C22×C4) = D4○C32 | central extension (φ=1) | 64 | 2 | C8.69(C2^2xC4) | 128,990 |