| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(S3×C2×C10) = C5×S3×D8 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 120 | 4 | C4.1(S3xC2xC10) | 480,789 |
| C4.2(S3×C2×C10) = C5×D8⋊S3 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 120 | 4 | C4.2(S3xC2xC10) | 480,790 |
| C4.3(S3×C2×C10) = C5×D8⋊3S3 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.3(S3xC2xC10) | 480,791 |
| C4.4(S3×C2×C10) = C5×S3×SD16 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 120 | 4 | C4.4(S3xC2xC10) | 480,792 |
| C4.5(S3×C2×C10) = C5×Q8⋊3D6 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 120 | 4 | C4.5(S3xC2xC10) | 480,793 |
| C4.6(S3×C2×C10) = C5×D4.D6 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.6(S3xC2xC10) | 480,794 |
| C4.7(S3×C2×C10) = C5×Q8.7D6 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.7(S3xC2xC10) | 480,795 |
| C4.8(S3×C2×C10) = C5×S3×Q16 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.8(S3xC2xC10) | 480,796 |
| C4.9(S3×C2×C10) = C5×Q16⋊S3 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.9(S3xC2xC10) | 480,797 |
| C4.10(S3×C2×C10) = C5×D24⋊C2 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.10(S3xC2xC10) | 480,798 |
| C4.11(S3×C2×C10) = C10×D4⋊S3 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | | C4.11(S3xC2xC10) | 480,810 |
| C4.12(S3×C2×C10) = C5×D12⋊6C22 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 120 | 4 | C4.12(S3xC2xC10) | 480,811 |
| C4.13(S3×C2×C10) = C10×D4.S3 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | | C4.13(S3xC2xC10) | 480,812 |
| C4.14(S3×C2×C10) = C10×Q8⋊2S3 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | | C4.14(S3xC2xC10) | 480,820 |
| C4.15(S3×C2×C10) = C5×Q8.11D6 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.15(S3xC2xC10) | 480,821 |
| C4.16(S3×C2×C10) = C10×C3⋊Q16 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 480 | | C4.16(S3xC2xC10) | 480,822 |
| C4.17(S3×C2×C10) = C5×D4⋊D6 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 120 | 4 | C4.17(S3xC2xC10) | 480,828 |
| C4.18(S3×C2×C10) = C5×Q8.13D6 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.18(S3xC2xC10) | 480,829 |
| C4.19(S3×C2×C10) = C5×Q8.14D6 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.19(S3xC2xC10) | 480,830 |
| C4.20(S3×C2×C10) = C10×D4⋊2S3 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | | C4.20(S3xC2xC10) | 480,1155 |
| C4.21(S3×C2×C10) = C5×D4⋊6D6 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 120 | 4 | C4.21(S3xC2xC10) | 480,1156 |
| C4.22(S3×C2×C10) = S3×Q8×C10 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | | C4.22(S3xC2xC10) | 480,1157 |
| C4.23(S3×C2×C10) = C10×Q8⋊3S3 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | | C4.23(S3xC2xC10) | 480,1158 |
| C4.24(S3×C2×C10) = C5×Q8.15D6 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.24(S3xC2xC10) | 480,1159 |
| C4.25(S3×C2×C10) = C5×S3×C4○D4 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 120 | 4 | C4.25(S3xC2xC10) | 480,1160 |
| C4.26(S3×C2×C10) = C5×D4○D12 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 120 | 4 | C4.26(S3xC2xC10) | 480,1161 |
| C4.27(S3×C2×C10) = C5×Q8○D12 | φ: S3×C2×C10/S3×C10 → C2 ⊆ Aut C4 | 240 | 4 | C4.27(S3xC2xC10) | 480,1162 |
| C4.28(S3×C2×C10) = C10×C24⋊C2 | φ: S3×C2×C10/C2×C30 → C2 ⊆ Aut C4 | 240 | | C4.28(S3xC2xC10) | 480,781 |
| C4.29(S3×C2×C10) = C10×D24 | φ: S3×C2×C10/C2×C30 → C2 ⊆ Aut C4 | 240 | | C4.29(S3xC2xC10) | 480,782 |
| C4.30(S3×C2×C10) = C5×C4○D24 | φ: S3×C2×C10/C2×C30 → C2 ⊆ Aut C4 | 240 | 2 | C4.30(S3xC2xC10) | 480,783 |
| C4.31(S3×C2×C10) = C10×Dic12 | φ: S3×C2×C10/C2×C30 → C2 ⊆ Aut C4 | 480 | | C4.31(S3xC2xC10) | 480,784 |
| C4.32(S3×C2×C10) = C5×C8⋊D6 | φ: S3×C2×C10/C2×C30 → C2 ⊆ Aut C4 | 120 | 4 | C4.32(S3xC2xC10) | 480,787 |
| C4.33(S3×C2×C10) = C5×C8.D6 | φ: S3×C2×C10/C2×C30 → C2 ⊆ Aut C4 | 240 | 4 | C4.33(S3xC2xC10) | 480,788 |
| C4.34(S3×C2×C10) = C2×C10×Dic6 | φ: S3×C2×C10/C2×C30 → C2 ⊆ Aut C4 | 480 | | C4.34(S3xC2xC10) | 480,1150 |
| C4.35(S3×C2×C10) = S3×C2×C40 | central extension (φ=1) | 240 | | C4.35(S3xC2xC10) | 480,778 |
| C4.36(S3×C2×C10) = C10×C8⋊S3 | central extension (φ=1) | 240 | | C4.36(S3xC2xC10) | 480,779 |
| C4.37(S3×C2×C10) = C5×C8○D12 | central extension (φ=1) | 240 | 2 | C4.37(S3xC2xC10) | 480,780 |
| C4.38(S3×C2×C10) = C5×S3×M4(2) | central extension (φ=1) | 120 | 4 | C4.38(S3xC2xC10) | 480,785 |
| C4.39(S3×C2×C10) = C5×D12.C4 | central extension (φ=1) | 240 | 4 | C4.39(S3xC2xC10) | 480,786 |
| C4.40(S3×C2×C10) = C2×C10×C3⋊C8 | central extension (φ=1) | 480 | | C4.40(S3xC2xC10) | 480,799 |
| C4.41(S3×C2×C10) = C10×C4.Dic3 | central extension (φ=1) | 240 | | C4.41(S3xC2xC10) | 480,800 |
| C4.42(S3×C2×C10) = C5×D4.Dic3 | central extension (φ=1) | 240 | 4 | C4.42(S3xC2xC10) | 480,827 |
| C4.43(S3×C2×C10) = C10×C4○D12 | central extension (φ=1) | 240 | | C4.43(S3xC2xC10) | 480,1153 |