| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C22×S3) = S3×D8 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 24 | 4+ | C4.1(C2^2xS3) | 96,117 |
| C4.2(C22×S3) = D8⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 24 | 4 | C4.2(C2^2xS3) | 96,118 |
| C4.3(C22×S3) = D8⋊3S3 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | 4- | C4.3(C2^2xS3) | 96,119 |
| C4.4(C22×S3) = S3×SD16 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 24 | 4 | C4.4(C2^2xS3) | 96,120 |
| C4.5(C22×S3) = Q8⋊3D6 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 24 | 4+ | C4.5(C2^2xS3) | 96,121 |
| C4.6(C22×S3) = D4.D6 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | 4- | C4.6(C2^2xS3) | 96,122 |
| C4.7(C22×S3) = Q8.7D6 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | 4 | C4.7(C2^2xS3) | 96,123 |
| C4.8(C22×S3) = S3×Q16 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | 4- | C4.8(C2^2xS3) | 96,124 |
| C4.9(C22×S3) = Q16⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | 4 | C4.9(C2^2xS3) | 96,125 |
| C4.10(C22×S3) = D24⋊C2 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | 4+ | C4.10(C2^2xS3) | 96,126 |
| C4.11(C22×S3) = C2×D4⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | | C4.11(C2^2xS3) | 96,138 |
| C4.12(C22×S3) = D12⋊6C22 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 24 | 4 | C4.12(C2^2xS3) | 96,139 |
| C4.13(C22×S3) = C2×D4.S3 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | | C4.13(C2^2xS3) | 96,140 |
| C4.14(C22×S3) = C2×Q8⋊2S3 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | | C4.14(C2^2xS3) | 96,148 |
| C4.15(C22×S3) = Q8.11D6 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | 4 | C4.15(C2^2xS3) | 96,149 |
| C4.16(C22×S3) = C2×C3⋊Q16 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 96 | | C4.16(C2^2xS3) | 96,150 |
| C4.17(C22×S3) = D4⋊D6 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 24 | 4+ | C4.17(C2^2xS3) | 96,156 |
| C4.18(C22×S3) = Q8.13D6 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | 4 | C4.18(C2^2xS3) | 96,157 |
| C4.19(C22×S3) = Q8.14D6 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | 4- | C4.19(C2^2xS3) | 96,158 |
| C4.20(C22×S3) = C2×D4⋊2S3 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | | C4.20(C2^2xS3) | 96,210 |
| C4.21(C22×S3) = D4⋊6D6 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 24 | 4 | C4.21(C2^2xS3) | 96,211 |
| C4.22(C22×S3) = C2×S3×Q8 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | | C4.22(C2^2xS3) | 96,212 |
| C4.23(C22×S3) = C2×Q8⋊3S3 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | | C4.23(C2^2xS3) | 96,213 |
| C4.24(C22×S3) = Q8.15D6 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 48 | 4 | C4.24(C2^2xS3) | 96,214 |
| C4.25(C22×S3) = S3×C4○D4 | φ: C22×S3/D6 → C2 ⊆ Aut C4 | 24 | 4 | C4.25(C2^2xS3) | 96,215 |
| C4.26(C22×S3) = C2×C24⋊C2 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C4 | 48 | | C4.26(C2^2xS3) | 96,109 |
| C4.27(C22×S3) = C2×D24 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C4 | 48 | | C4.27(C2^2xS3) | 96,110 |
| C4.28(C22×S3) = C4○D24 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C4 | 48 | 2 | C4.28(C2^2xS3) | 96,111 |
| C4.29(C22×S3) = C2×Dic12 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C4 | 96 | | C4.29(C2^2xS3) | 96,112 |
| C4.30(C22×S3) = C8⋊D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C4 | 24 | 4+ | C4.30(C2^2xS3) | 96,115 |
| C4.31(C22×S3) = C8.D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C4 | 48 | 4- | C4.31(C2^2xS3) | 96,116 |
| C4.32(C22×S3) = C22×Dic6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C4 | 96 | | C4.32(C2^2xS3) | 96,205 |
| C4.33(C22×S3) = D4○D12 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C4 | 24 | 4+ | C4.33(C2^2xS3) | 96,216 |
| C4.34(C22×S3) = Q8○D12 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C4 | 48 | 4- | C4.34(C2^2xS3) | 96,217 |
| C4.35(C22×S3) = S3×C2×C8 | central extension (φ=1) | 48 | | C4.35(C2^2xS3) | 96,106 |
| C4.36(C22×S3) = C2×C8⋊S3 | central extension (φ=1) | 48 | | C4.36(C2^2xS3) | 96,107 |
| C4.37(C22×S3) = C8○D12 | central extension (φ=1) | 48 | 2 | C4.37(C2^2xS3) | 96,108 |
| C4.38(C22×S3) = S3×M4(2) | central extension (φ=1) | 24 | 4 | C4.38(C2^2xS3) | 96,113 |
| C4.39(C22×S3) = D12.C4 | central extension (φ=1) | 48 | 4 | C4.39(C2^2xS3) | 96,114 |
| C4.40(C22×S3) = C22×C3⋊C8 | central extension (φ=1) | 96 | | C4.40(C2^2xS3) | 96,127 |
| C4.41(C22×S3) = C2×C4.Dic3 | central extension (φ=1) | 48 | | C4.41(C2^2xS3) | 96,128 |
| C4.42(C22×S3) = D4.Dic3 | central extension (φ=1) | 48 | 4 | C4.42(C2^2xS3) | 96,155 |
| C4.43(C22×S3) = C2×C4○D12 | central extension (φ=1) | 48 | | C4.43(C2^2xS3) | 96,208 |