| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C23.1(C2×C28) = C7×C2≀C4 | φ: C2×C28/C14 → C4 ⊆ Aut C23 | 56 | 4 | C2^3.1(C2xC28) | 448,155 |
| C23.2(C2×C28) = C7×C23.D4 | φ: C2×C28/C14 → C4 ⊆ Aut C23 | 112 | 4 | C2^3.2(C2xC28) | 448,156 |
| C23.3(C2×C28) = C7×C23.C23 | φ: C2×C28/C14 → C4 ⊆ Aut C23 | 112 | 4 | C2^3.3(C2xC28) | 448,818 |
| C23.4(C2×C28) = C14×C4.D4 | φ: C2×C28/C14 → C4 ⊆ Aut C23 | 112 | | C2^3.4(C2xC28) | 448,819 |
| C23.5(C2×C28) = C7×M4(2).8C22 | φ: C2×C28/C14 → C4 ⊆ Aut C23 | 112 | 4 | C2^3.5(C2xC28) | 448,821 |
| C23.6(C2×C28) = C7×C23.9D4 | φ: C2×C28/C14 → C22 ⊆ Aut C23 | 112 | | C2^3.6(C2xC28) | 448,146 |
| C23.7(C2×C28) = C7×M4(2)⋊4C4 | φ: C2×C28/C14 → C22 ⊆ Aut C23 | 112 | 4 | C2^3.7(C2xC28) | 448,148 |
| C23.8(C2×C28) = C7×C24.C22 | φ: C2×C28/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.8(C2xC28) | 448,796 |
| C23.9(C2×C28) = C7×C24.3C22 | φ: C2×C28/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.9(C2xC28) | 448,798 |
| C23.10(C2×C28) = C7×(C22×C8)⋊C2 | φ: C2×C28/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.10(C2xC28) | 448,816 |
| C23.11(C2×C28) = C7×C42.7C22 | φ: C2×C28/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.11(C2xC28) | 448,841 |
| C23.12(C2×C28) = C7×C8⋊6D4 | φ: C2×C28/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.12(C2xC28) | 448,844 |
| C23.13(C2×C28) = C7×Q8○M4(2) | φ: C2×C28/C14 → C22 ⊆ Aut C23 | 112 | 4 | C2^3.13(C2xC28) | 448,1351 |
| C23.14(C2×C28) = C22⋊C4×C28 | φ: C2×C28/C28 → C2 ⊆ Aut C23 | 224 | | C2^3.14(C2xC28) | 448,785 |
| C23.15(C2×C28) = C7×C23.8Q8 | φ: C2×C28/C28 → C2 ⊆ Aut C23 | 224 | | C2^3.15(C2xC28) | 448,793 |
| C23.16(C2×C28) = C7×C8○2M4(2) | φ: C2×C28/C28 → C2 ⊆ Aut C23 | 224 | | C2^3.16(C2xC28) | 448,813 |
| C23.17(C2×C28) = C7×C42.6C22 | φ: C2×C28/C28 → C2 ⊆ Aut C23 | 224 | | C2^3.17(C2xC28) | 448,832 |
| C23.18(C2×C28) = D4×C56 | φ: C2×C28/C28 → C2 ⊆ Aut C23 | 224 | | C2^3.18(C2xC28) | 448,842 |
| C23.19(C2×C28) = C7×C8⋊9D4 | φ: C2×C28/C28 → C2 ⊆ Aut C23 | 224 | | C2^3.19(C2xC28) | 448,843 |
| C23.20(C2×C28) = C14×C8○D4 | φ: C2×C28/C28 → C2 ⊆ Aut C23 | 224 | | C2^3.20(C2xC28) | 448,1350 |
| C23.21(C2×C28) = C7×C23⋊C8 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 112 | | C2^3.21(C2xC28) | 448,127 |
| C23.22(C2×C28) = C7×C22.M4(2) | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.22(C2xC28) | 448,128 |
| C23.23(C2×C28) = C7×C22.C42 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.23(C2xC28) | 448,147 |
| C23.24(C2×C28) = C7×C24⋊3C4 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 112 | | C2^3.24(C2xC28) | 448,787 |
| C23.25(C2×C28) = C7×C23.7Q8 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.25(C2xC28) | 448,788 |
| C23.26(C2×C28) = C7×C23.34D4 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.26(C2xC28) | 448,789 |
| C23.27(C2×C28) = M4(2)×C28 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.27(C2xC28) | 448,812 |
| C23.28(C2×C28) = C14×C22⋊C8 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.28(C2xC28) | 448,814 |
| C23.29(C2×C28) = C7×C24.4C4 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 112 | | C2^3.29(C2xC28) | 448,815 |
| C23.30(C2×C28) = C14×C4.10D4 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.30(C2xC28) | 448,820 |
| C23.31(C2×C28) = C7×C4⋊M4(2) | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.31(C2xC28) | 448,831 |
| C23.32(C2×C28) = C7×C42.12C4 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.32(C2xC28) | 448,839 |
| C23.33(C2×C28) = C7×C42.6C4 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.33(C2xC28) | 448,840 |
| C23.34(C2×C28) = C14×C42⋊C2 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C23 | 224 | | C2^3.34(C2xC28) | 448,1297 |
| C23.35(C2×C28) = C7×C22.7C42 | central extension (φ=1) | 448 | | C2^3.35(C2xC28) | 448,140 |
| C23.36(C2×C28) = C14×C2.C42 | central extension (φ=1) | 448 | | C2^3.36(C2xC28) | 448,783 |
| C23.37(C2×C28) = C14×C8⋊C4 | central extension (φ=1) | 448 | | C2^3.37(C2xC28) | 448,811 |
| C23.38(C2×C28) = C14×C4⋊C8 | central extension (φ=1) | 448 | | C2^3.38(C2xC28) | 448,830 |
| C23.39(C2×C28) = C4⋊C4×C2×C14 | central extension (φ=1) | 448 | | C2^3.39(C2xC28) | 448,1296 |
| C23.40(C2×C28) = M4(2)×C2×C14 | central extension (φ=1) | 224 | | C2^3.40(C2xC28) | 448,1349 |