| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C22×C3⋊S3) = D8×C3⋊S3 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.1(C2^2xC3:S3) | 288,767 |
| C4.2(C22×C3⋊S3) = C24⋊8D6 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.2(C2^2xC3:S3) | 288,768 |
| C4.3(C22×C3⋊S3) = C24.26D6 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.3(C2^2xC3:S3) | 288,769 |
| C4.4(C22×C3⋊S3) = SD16×C3⋊S3 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.4(C2^2xC3:S3) | 288,770 |
| C4.5(C22×C3⋊S3) = C24⋊7D6 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.5(C2^2xC3:S3) | 288,771 |
| C4.6(C22×C3⋊S3) = C24.32D6 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.6(C2^2xC3:S3) | 288,772 |
| C4.7(C22×C3⋊S3) = C24.40D6 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.7(C2^2xC3:S3) | 288,773 |
| C4.8(C22×C3⋊S3) = Q16×C3⋊S3 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.8(C2^2xC3:S3) | 288,774 |
| C4.9(C22×C3⋊S3) = C24.35D6 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.9(C2^2xC3:S3) | 288,775 |
| C4.10(C22×C3⋊S3) = C24.28D6 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.10(C2^2xC3:S3) | 288,776 |
| C4.11(C22×C3⋊S3) = C2×C32⋊7D8 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.11(C2^2xC3:S3) | 288,788 |
| C4.12(C22×C3⋊S3) = C62.131D4 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.12(C2^2xC3:S3) | 288,789 |
| C4.13(C22×C3⋊S3) = C2×C32⋊9SD16 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.13(C2^2xC3:S3) | 288,790 |
| C4.14(C22×C3⋊S3) = C2×C32⋊11SD16 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.14(C2^2xC3:S3) | 288,798 |
| C4.15(C22×C3⋊S3) = C62.134D4 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.15(C2^2xC3:S3) | 288,799 |
| C4.16(C22×C3⋊S3) = C2×C32⋊7Q16 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 288 | | C4.16(C2^2xC3:S3) | 288,800 |
| C4.17(C22×C3⋊S3) = C62.73D4 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.17(C2^2xC3:S3) | 288,806 |
| C4.18(C22×C3⋊S3) = C62.74D4 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.18(C2^2xC3:S3) | 288,807 |
| C4.19(C22×C3⋊S3) = C62.75D4 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.19(C2^2xC3:S3) | 288,808 |
| C4.20(C22×C3⋊S3) = C2×C12.D6 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.20(C2^2xC3:S3) | 288,1008 |
| C4.21(C22×C3⋊S3) = C32⋊82+ 1+4 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.21(C2^2xC3:S3) | 288,1009 |
| C4.22(C22×C3⋊S3) = C2×Q8×C3⋊S3 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.22(C2^2xC3:S3) | 288,1010 |
| C4.23(C22×C3⋊S3) = C2×C12.26D6 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.23(C2^2xC3:S3) | 288,1011 |
| C4.24(C22×C3⋊S3) = C32⋊72- 1+4 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.24(C2^2xC3:S3) | 288,1012 |
| C4.25(C22×C3⋊S3) = C4○D4×C3⋊S3 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.25(C2^2xC3:S3) | 288,1013 |
| C4.26(C22×C3⋊S3) = C2×C24⋊2S3 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C4 | 144 | | C4.26(C2^2xC3:S3) | 288,759 |
| C4.27(C22×C3⋊S3) = C2×C32⋊5D8 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C4 | 144 | | C4.27(C2^2xC3:S3) | 288,760 |
| C4.28(C22×C3⋊S3) = C24.78D6 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C4 | 144 | | C4.28(C2^2xC3:S3) | 288,761 |
| C4.29(C22×C3⋊S3) = C2×C32⋊5Q16 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C4 | 288 | | C4.29(C2^2xC3:S3) | 288,762 |
| C4.30(C22×C3⋊S3) = C24⋊3D6 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C4 | 72 | | C4.30(C2^2xC3:S3) | 288,765 |
| C4.31(C22×C3⋊S3) = C24.5D6 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C4 | 144 | | C4.31(C2^2xC3:S3) | 288,766 |
| C4.32(C22×C3⋊S3) = C22×C32⋊4Q8 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C4 | 288 | | C4.32(C2^2xC3:S3) | 288,1003 |
| C4.33(C22×C3⋊S3) = C62.154C23 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C4 | 72 | | C4.33(C2^2xC3:S3) | 288,1014 |
| C4.34(C22×C3⋊S3) = C32⋊92- 1+4 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C4 | 144 | | C4.34(C2^2xC3:S3) | 288,1015 |
| C4.35(C22×C3⋊S3) = C2×C8×C3⋊S3 | central extension (φ=1) | 144 | | C4.35(C2^2xC3:S3) | 288,756 |
| C4.36(C22×C3⋊S3) = C2×C24⋊S3 | central extension (φ=1) | 144 | | C4.36(C2^2xC3:S3) | 288,757 |
| C4.37(C22×C3⋊S3) = C24.95D6 | central extension (φ=1) | 144 | | C4.37(C2^2xC3:S3) | 288,758 |
| C4.38(C22×C3⋊S3) = M4(2)×C3⋊S3 | central extension (φ=1) | 72 | | C4.38(C2^2xC3:S3) | 288,763 |
| C4.39(C22×C3⋊S3) = C24.47D6 | central extension (φ=1) | 144 | | C4.39(C2^2xC3:S3) | 288,764 |
| C4.40(C22×C3⋊S3) = C22×C32⋊4C8 | central extension (φ=1) | 288 | | C4.40(C2^2xC3:S3) | 288,777 |
| C4.41(C22×C3⋊S3) = C2×C12.58D6 | central extension (φ=1) | 144 | | C4.41(C2^2xC3:S3) | 288,778 |
| C4.42(C22×C3⋊S3) = D4.(C3⋊Dic3) | central extension (φ=1) | 144 | | C4.42(C2^2xC3:S3) | 288,805 |
| C4.43(C22×C3⋊S3) = C2×C12.59D6 | central extension (φ=1) | 144 | | C4.43(C2^2xC3:S3) | 288,1006 |