| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|
| C23.1(C22⋊C4) = C24.5D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 |  | C2^3.1(C2^2:C4) | 128,122 | 
| C23.2(C22⋊C4) = C23.2C42 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 | 4 | C2^3.2(C2^2:C4) | 128,123 | 
| C23.3(C22⋊C4) = C24.6D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 |  | C2^3.3(C2^2:C4) | 128,125 | 
| C23.4(C22⋊C4) = (C22×C8)⋊C4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 | 4 | C2^3.4(C2^2:C4) | 128,127 | 
| C23.5(C22⋊C4) = 2+ 1+4.2C4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 | 4 | C2^3.5(C2^2:C4) | 128,523 | 
| C23.6(C22⋊C4) = 2+ 1+4⋊3C4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 |  | C2^3.6(C2^2:C4) | 128,524 | 
| C23.7(C22⋊C4) = 2+ 1+4⋊4C4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 | 4 | C2^3.7(C2^2:C4) | 128,526 | 
| C23.8(C22⋊C4) = M4(2)⋊19D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 4 | C2^3.8(C2^2:C4) | 128,616 | 
| C23.9(C22⋊C4) = C24.23D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 |  | C2^3.9(C2^2:C4) | 128,617 | 
| C23.10(C22⋊C4) = C24.24D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 |  | C2^3.10(C2^2:C4) | 128,619 | 
| C23.11(C22⋊C4) = C24.26D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 |  | C2^3.11(C2^2:C4) | 128,622 | 
| C23.12(C22⋊C4) = (C2×C8)⋊D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 4 | C2^3.12(C2^2:C4) | 128,623 | 
| C23.13(C22⋊C4) = C4.(C4×D4) | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 | 8- | C2^3.13(C2^2:C4) | 128,641 | 
| C23.14(C22⋊C4) = (C2×C8)⋊4D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 8+ | C2^3.14(C2^2:C4) | 128,642 | 
| C23.15(C22⋊C4) = C42⋊D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 8+ | C2^3.15(C2^2:C4) | 128,643 | 
| C23.16(C22⋊C4) = C24.28D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 8+ | C2^3.16(C2^2:C4) | 128,645 | 
| C23.17(C22⋊C4) = M4(2)⋊21D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 8+ | C2^3.17(C2^2:C4) | 128,646 | 
| C23.18(C22⋊C4) = M4(2).50D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 | 8- | C2^3.18(C2^2:C4) | 128,647 | 
| C23.19(C22⋊C4) = C4○C2≀C4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 4 | C2^3.19(C2^2:C4) | 128,852 | 
| C23.20(C22⋊C4) = C2≀C4⋊C2 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 8+ | C2^3.20(C2^2:C4) | 128,854 | 
| C23.21(C22⋊C4) = C23.(C2×D4) | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 | 8- | C2^3.21(C2^2:C4) | 128,855 | 
| C23.22(C22⋊C4) = C2×C42⋊C4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 |  | C2^3.22(C2^2:C4) | 128,856 | 
| C23.23(C22⋊C4) = C2×C42⋊3C4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 |  | C2^3.23(C2^2:C4) | 128,857 | 
| C23.24(C22⋊C4) = C24.39D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 8+ | C2^3.24(C2^2:C4) | 128,859 | 
| C23.25(C22⋊C4) = (C2×D4).135D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 4 | C2^3.25(C2^2:C4) | 128,864 | 
| C23.26(C22⋊C4) = C4⋊1D4.C4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 16 | 8+ | C2^3.26(C2^2:C4) | 128,866 | 
| C23.27(C22⋊C4) = (C2×D4).137D4 | φ: C22⋊C4/C2 → D4 ⊆ Aut C23 | 32 | 8- | C2^3.27(C2^2:C4) | 128,867 | 
| C23.28(C22⋊C4) = C24.165C23 | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 32 |  | C2^3.28(C2^2:C4) | 128,514 | 
| C23.29(C22⋊C4) = C25.C4 | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 16 |  | C2^3.29(C2^2:C4) | 128,515 | 
| C23.30(C22⋊C4) = (C23×C4).C4 | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 32 |  | C2^3.30(C2^2:C4) | 128,517 | 
| C23.31(C22⋊C4) = C4○D4.D4 | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 16 | 8+ | C2^3.31(C2^2:C4) | 128,527 | 
| C23.32(C22⋊C4) = (C22×Q8)⋊C4 | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 32 | 8- | C2^3.32(C2^2:C4) | 128,528 | 
| C23.33(C22⋊C4) = (C2×C42)⋊C4 | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 16 | 4 | C2^3.33(C2^2:C4) | 128,559 | 
| C23.34(C22⋊C4) = C24.C23 | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 16 | 8+ | C2^3.34(C2^2:C4) | 128,560 | 
| C23.35(C22⋊C4) = C24.6(C2×C4) | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 16 | 8+ | C2^3.35(C2^2:C4) | 128,561 | 
| C23.36(C22⋊C4) = C4⋊Q8⋊29C4 | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 16 | 4 | C2^3.36(C2^2:C4) | 128,858 | 
| C23.37(C22⋊C4) = C4.4D4⋊C4 | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 16 | 8+ | C2^3.37(C2^2:C4) | 128,860 | 
| C23.38(C22⋊C4) = C4⋊Q8⋊C4 | φ: C22⋊C4/C22 → C4 ⊆ Aut C23 | 32 | 8- | C2^3.38(C2^2:C4) | 128,861 | 
| C23.39(C22⋊C4) = C24.52D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.39(C2^2:C4) | 128,172 | 
| C23.40(C22⋊C4) = C23⋊M4(2) | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.40(C2^2:C4) | 128,197 | 
| C23.41(C22⋊C4) = C24.(C2×C4) | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.41(C2^2:C4) | 128,203 | 
| C23.42(C22⋊C4) = C24.45(C2×C4) | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.42(C2^2:C4) | 128,204 | 
| C23.43(C22⋊C4) = C42.373D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.43(C2^2:C4) | 128,214 | 
| C23.44(C22⋊C4) = C42.400D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.44(C2^2:C4) | 128,216 | 
| C23.45(C22⋊C4) = C42.401D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.45(C2^2:C4) | 128,217 | 
| C23.46(C22⋊C4) = C42.374D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.46(C2^2:C4) | 128,220 | 
| C23.47(C22⋊C4) = D4⋊4M4(2) | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.47(C2^2:C4) | 128,221 | 
| C23.48(C22⋊C4) = C42.52D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.48(C2^2:C4) | 128,227 | 
| C23.49(C22⋊C4) = C42.53D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.49(C2^2:C4) | 128,228 | 
| C23.50(C22⋊C4) = C42.54D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.50(C2^2:C4) | 128,229 | 
| C23.51(C22⋊C4) = C24.53D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.51(C2^2:C4) | 128,233 | 
| C23.52(C22⋊C4) = C24.54D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.52(C2^2:C4) | 128,239 | 
| C23.53(C22⋊C4) = C24.55D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.53(C2^2:C4) | 128,240 | 
| C23.54(C22⋊C4) = C24.58D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.54(C2^2:C4) | 128,245 | 
| C23.55(C22⋊C4) = C24.59D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.55(C2^2:C4) | 128,248 | 
| C23.56(C22⋊C4) = C42.405D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.56(C2^2:C4) | 128,257 | 
| C23.57(C22⋊C4) = C42.406D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.57(C2^2:C4) | 128,258 | 
| C23.58(C22⋊C4) = C42.376D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.58(C2^2:C4) | 128,261 | 
| C23.59(C22⋊C4) = C42.72D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.59(C2^2:C4) | 128,267 | 
| C23.60(C22⋊C4) = C42.73D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.60(C2^2:C4) | 128,268 | 
| C23.61(C22⋊C4) = C42.74D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.61(C2^2:C4) | 128,269 | 
| C23.62(C22⋊C4) = C42.411D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.62(C2^2:C4) | 128,275 | 
| C23.63(C22⋊C4) = C42.412D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.63(C2^2:C4) | 128,276 | 
| C23.64(C22⋊C4) = C42.417D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.64(C2^2:C4) | 128,285 | 
| C23.65(C22⋊C4) = C42.418D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.65(C2^2:C4) | 128,286 | 
| C23.66(C22⋊C4) = C42.84D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.66(C2^2:C4) | 128,289 | 
| C23.67(C22⋊C4) = C42.86D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.67(C2^2:C4) | 128,291 | 
| C23.68(C22⋊C4) = C42.87D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.68(C2^2:C4) | 128,292 | 
| C23.69(C22⋊C4) = C42.88D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.69(C2^2:C4) | 128,293 | 
| C23.70(C22⋊C4) = C2×C23.9D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.70(C2^2:C4) | 128,471 | 
| C23.71(C22⋊C4) = C24.51(C2×C4) | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.71(C2^2:C4) | 128,512 | 
| C23.72(C22⋊C4) = C24.65D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.72(C2^2:C4) | 128,520 | 
| C23.73(C22⋊C4) = C24.53(C2×C4) | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.73(C2^2:C4) | 128,550 | 
| C23.74(C22⋊C4) = C24.68D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 16 |  | C2^3.74(C2^2:C4) | 128,551 | 
| C23.75(C22⋊C4) = (C22×C4).276D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.75(C2^2:C4) | 128,554 | 
| C23.76(C22⋊C4) = C24.69D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.76(C2^2:C4) | 128,557 | 
| C23.77(C22⋊C4) = C24.70D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.77(C2^2:C4) | 128,558 | 
| C23.78(C22⋊C4) = C23⋊2M4(2) | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.78(C2^2:C4) | 128,602 | 
| C23.79(C22⋊C4) = C24.73D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.79(C2^2:C4) | 128,605 | 
| C23.80(C22⋊C4) = C24.74D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.80(C2^2:C4) | 128,607 | 
| C23.81(C22⋊C4) = C24.75D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.81(C2^2:C4) | 128,626 | 
| C23.82(C22⋊C4) = C24.76D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 64 |  | C2^3.82(C2^2:C4) | 128,627 | 
| C23.83(C22⋊C4) = C42⋊7D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.83(C2^2:C4) | 128,629 | 
| C23.84(C22⋊C4) = C24.36D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 16 | 8+ | C2^3.84(C2^2:C4) | 128,853 | 
| C23.85(C22⋊C4) = C4⋊Q8.C4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 | 8- | C2^3.85(C2^2:C4) | 128,865 | 
| C23.86(C22⋊C4) = C24.73(C2×C4) | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.86(C2^2:C4) | 128,1611 | 
| C23.87(C22⋊C4) = C24.98D4 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.87(C2^2:C4) | 128,1628 | 
| C23.88(C22⋊C4) = C2×C42⋊C22 | φ: C22⋊C4/C22 → C22 ⊆ Aut C23 | 32 |  | C2^3.88(C2^2:C4) | 128,1632 | 
| C23.89(C22⋊C4) = C24.17Q8 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.89(C2^2:C4) | 128,165 | 
| C23.90(C22⋊C4) = C23.8M4(2) | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.90(C2^2:C4) | 128,191 | 
| C23.91(C22⋊C4) = C23⋊C8⋊C2 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.91(C2^2:C4) | 128,200 | 
| C23.92(C22⋊C4) = C42.455D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.92(C2^2:C4) | 128,208 | 
| C23.93(C22⋊C4) = C42.397D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.93(C2^2:C4) | 128,209 | 
| C23.94(C22⋊C4) = C42.45D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.94(C2^2:C4) | 128,212 | 
| C23.95(C22⋊C4) = C42.46D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.95(C2^2:C4) | 128,213 | 
| C23.96(C22⋊C4) = C42.47D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.96(C2^2:C4) | 128,215 | 
| C23.97(C22⋊C4) = C42.315D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.97(C2^2:C4) | 128,224 | 
| C23.98(C22⋊C4) = C42.316D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.98(C2^2:C4) | 128,225 | 
| C23.99(C22⋊C4) = C42.305D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.99(C2^2:C4) | 128,226 | 
| C23.100(C22⋊C4) = C2×C22.SD16 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.100(C2^2:C4) | 128,230 | 
| C23.101(C22⋊C4) = C2×C23.31D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.101(C2^2:C4) | 128,231 | 
| C23.102(C22⋊C4) = C24.150D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 16 |  | C2^3.102(C2^2:C4) | 128,236 | 
| C23.103(C22⋊C4) = C42.66D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.103(C2^2:C4) | 128,256 | 
| C23.104(C22⋊C4) = C42.67D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.104(C2^2:C4) | 128,262 | 
| C23.105(C22⋊C4) = C42.68D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.105(C2^2:C4) | 128,263 | 
| C23.106(C22⋊C4) = C42.69D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.106(C2^2:C4) | 128,264 | 
| C23.107(C22⋊C4) = C42.409D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.107(C2^2:C4) | 128,272 | 
| C23.108(C22⋊C4) = C42.410D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.108(C2^2:C4) | 128,274 | 
| C23.109(C22⋊C4) = C42.78D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.109(C2^2:C4) | 128,279 | 
| C23.110(C22⋊C4) = C42.79D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.110(C2^2:C4) | 128,282 | 
| C23.111(C22⋊C4) = C42.80D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.111(C2^2:C4) | 128,283 | 
| C23.112(C22⋊C4) = C42.81D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.112(C2^2:C4) | 128,284 | 
| C23.113(C22⋊C4) = C23.29C42 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.113(C2^2:C4) | 128,461 | 
| C23.114(C22⋊C4) = C24.132D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.114(C2^2:C4) | 128,467 | 
| C23.115(C22⋊C4) = C24.152D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.115(C2^2:C4) | 128,468 | 
| C23.116(C22⋊C4) = C23.15C42 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.116(C2^2:C4) | 128,474 | 
| C23.117(C22⋊C4) = C23.22M4(2) | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.117(C2^2:C4) | 128,601 | 
| C23.118(C22⋊C4) = C24.72D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.118(C2^2:C4) | 128,603 | 
| C23.119(C22⋊C4) = C24.160D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.119(C2^2:C4) | 128,604 | 
| C23.120(C22⋊C4) = C23.38D8 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.120(C2^2:C4) | 128,606 | 
| C23.121(C22⋊C4) = C24.135D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.121(C2^2:C4) | 128,624 | 
| C23.122(C22⋊C4) = C23.23D8 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.122(C2^2:C4) | 128,625 | 
| C23.123(C22⋊C4) = (C2×C4)≀C2 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 16 |  | C2^3.123(C2^2:C4) | 128,628 | 
| C23.124(C22⋊C4) = C24.78D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 16 |  | C2^3.124(C2^2:C4) | 128,630 | 
| C23.125(C22⋊C4) = M4(2)⋊20D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.125(C2^2:C4) | 128,632 | 
| C23.126(C22⋊C4) = M4(2).45D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.126(C2^2:C4) | 128,633 | 
| C23.127(C22⋊C4) = C2×(C22×C8)⋊C2 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.127(C2^2:C4) | 128,1610 | 
| C23.128(C22⋊C4) = C22×C23⋊C4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.128(C2^2:C4) | 128,1613 | 
| C23.129(C22⋊C4) = C2×M4(2).8C22 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.129(C2^2:C4) | 128,1619 | 
| C23.130(C22⋊C4) = C2×C23.24D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.130(C2^2:C4) | 128,1624 | 
| C23.131(C22⋊C4) = C2×C23.36D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 64 |  | C2^3.131(C2^2:C4) | 128,1627 | 
| C23.132(C22⋊C4) = C22×C4≀C2 | φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C23 | 32 |  | C2^3.132(C2^2:C4) | 128,1631 | 
| C23.133(C22⋊C4) = C42⋊1C8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.133(C2^2:C4) | 128,6 | 
| C23.134(C22⋊C4) = C42⋊6C8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.134(C2^2:C4) | 128,8 | 
| C23.135(C22⋊C4) = C23.21C42 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.135(C2^2:C4) | 128,14 | 
| C23.136(C22⋊C4) = C24.46D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.136(C2^2:C4) | 128,16 | 
| C23.137(C22⋊C4) = C42.4Q8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.137(C2^2:C4) | 128,17 | 
| C23.138(C22⋊C4) = C42.5Q8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.138(C2^2:C4) | 128,18 | 
| C23.139(C22⋊C4) = C42.6Q8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.139(C2^2:C4) | 128,20 | 
| C23.140(C22⋊C4) = C23.8D8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.140(C2^2:C4) | 128,21 | 
| C23.141(C22⋊C4) = C24.48D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.141(C2^2:C4) | 128,29 | 
| C23.142(C22⋊C4) = C42.9Q8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.142(C2^2:C4) | 128,32 | 
| C23.143(C22⋊C4) = C42.10Q8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.143(C2^2:C4) | 128,35 | 
| C23.144(C22⋊C4) = C24.4Q8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 16 |  | C2^3.144(C2^2:C4) | 128,36 | 
| C23.145(C22⋊C4) = C23.C42 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.145(C2^2:C4) | 128,37 | 
| C23.146(C22⋊C4) = C23.8C42 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.146(C2^2:C4) | 128,38 | 
| C23.147(C22⋊C4) = C24⋊C8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 16 |  | C2^3.147(C2^2:C4) | 128,48 | 
| C23.148(C22⋊C4) = C23.15M4(2) | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.148(C2^2:C4) | 128,49 | 
| C23.149(C22⋊C4) = (C2×D4)⋊C8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.149(C2^2:C4) | 128,50 | 
| C23.150(C22⋊C4) = (C2×C42).C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.150(C2^2:C4) | 128,51 | 
| C23.151(C22⋊C4) = C42⋊C8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.151(C2^2:C4) | 128,56 | 
| C23.152(C22⋊C4) = C42⋊3C8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.152(C2^2:C4) | 128,57 | 
| C23.153(C22⋊C4) = C23.2M4(2) | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.153(C2^2:C4) | 128,58 | 
| C23.154(C22⋊C4) = C24.D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 16 |  | C2^3.154(C2^2:C4) | 128,75 | 
| C23.155(C22⋊C4) = C23.4D8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.155(C2^2:C4) | 128,76 | 
| C23.156(C22⋊C4) = C2.C2≀C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.156(C2^2:C4) | 128,77 | 
| C23.157(C22⋊C4) = (C2×C4).D8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.157(C2^2:C4) | 128,78 | 
| C23.158(C22⋊C4) = C23.Q16 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.158(C2^2:C4) | 128,83 | 
| C23.159(C22⋊C4) = C24.4D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.159(C2^2:C4) | 128,84 | 
| C23.160(C22⋊C4) = (C2×C4).Q16 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.160(C2^2:C4) | 128,85 | 
| C23.161(C22⋊C4) = C2.7C2≀C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.161(C2^2:C4) | 128,86 | 
| C23.162(C22⋊C4) = (C2×Q8).Q8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.162(C2^2:C4) | 128,126 | 
| C23.163(C22⋊C4) = C2×C23⋊C8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.163(C2^2:C4) | 128,188 | 
| C23.164(C22⋊C4) = C2×C22.M4(2) | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.164(C2^2:C4) | 128,189 | 
| C23.165(C22⋊C4) = C25.3C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 16 |  | C2^3.165(C2^2:C4) | 128,194 | 
| C23.166(C22⋊C4) = (C2×C4)⋊M4(2) | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.166(C2^2:C4) | 128,195 | 
| C23.167(C22⋊C4) = C42.398D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.167(C2^2:C4) | 128,210 | 
| C23.168(C22⋊C4) = C42.399D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.168(C2^2:C4) | 128,211 | 
| C23.169(C22⋊C4) = D4⋊M4(2) | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.169(C2^2:C4) | 128,218 | 
| C23.170(C22⋊C4) = Q8⋊M4(2) | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.170(C2^2:C4) | 128,219 | 
| C23.171(C22⋊C4) = D4⋊5M4(2) | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.171(C2^2:C4) | 128,222 | 
| C23.172(C22⋊C4) = Q8⋊5M4(2) | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.172(C2^2:C4) | 128,223 | 
| C23.173(C22⋊C4) = C24.56D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.173(C2^2:C4) | 128,242 | 
| C23.174(C22⋊C4) = C24.57D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.174(C2^2:C4) | 128,243 | 
| C23.175(C22⋊C4) = C24.60D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.175(C2^2:C4) | 128,251 | 
| C23.176(C22⋊C4) = C24.61D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.176(C2^2:C4) | 128,252 | 
| C23.177(C22⋊C4) = C42.407D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.177(C2^2:C4) | 128,259 | 
| C23.178(C22⋊C4) = C42.408D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.178(C2^2:C4) | 128,260 | 
| C23.179(C22⋊C4) = C42.70D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.179(C2^2:C4) | 128,265 | 
| C23.180(C22⋊C4) = C42.71D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.180(C2^2:C4) | 128,266 | 
| C23.181(C22⋊C4) = C42.413D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.181(C2^2:C4) | 128,277 | 
| C23.182(C22⋊C4) = C42.414D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.182(C2^2:C4) | 128,278 | 
| C23.183(C22⋊C4) = C42.415D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.183(C2^2:C4) | 128,280 | 
| C23.184(C22⋊C4) = C42.416D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.184(C2^2:C4) | 128,281 | 
| C23.185(C22⋊C4) = C42.82D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.185(C2^2:C4) | 128,287 | 
| C23.186(C22⋊C4) = C42.83D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.186(C2^2:C4) | 128,288 | 
| C23.187(C22⋊C4) = C42.85D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.187(C2^2:C4) | 128,290 | 
| C23.188(C22⋊C4) = C23.28C42 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.188(C2^2:C4) | 128,460 | 
| C23.189(C22⋊C4) = C2×C4.9C42 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.189(C2^2:C4) | 128,462 | 
| C23.190(C22⋊C4) = C24.63D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.190(C2^2:C4) | 128,465 | 
| C23.191(C22⋊C4) = C2×M4(2)⋊4C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.191(C2^2:C4) | 128,475 | 
| C23.192(C22⋊C4) = C24⋊3C8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.192(C2^2:C4) | 128,511 | 
| C23.193(C22⋊C4) = C4.C22≀C2 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.193(C2^2:C4) | 128,516 | 
| C23.194(C22⋊C4) = C23.35D8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.194(C2^2:C4) | 128,518 | 
| C23.195(C22⋊C4) = C24.155D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.195(C2^2:C4) | 128,519 | 
| C23.196(C22⋊C4) = C24.66D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.196(C2^2:C4) | 128,521 | 
| C23.197(C22⋊C4) = C23.32M4(2) | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.197(C2^2:C4) | 128,549 | 
| C23.198(C22⋊C4) = (C22×C4).275D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.198(C2^2:C4) | 128,553 | 
| C23.199(C22⋊C4) = C23.36D8 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.199(C2^2:C4) | 128,555 | 
| C23.200(C22⋊C4) = C24.157D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.200(C2^2:C4) | 128,556 | 
| C23.201(C22⋊C4) = C2×C2≀C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 16 |  | C2^3.201(C2^2:C4) | 128,850 | 
| C23.202(C22⋊C4) = C2×C23.D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.202(C2^2:C4) | 128,851 | 
| C23.203(C22⋊C4) = C2×C42.C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.203(C2^2:C4) | 128,862 | 
| C23.204(C22⋊C4) = C2×C42.3C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.204(C2^2:C4) | 128,863 | 
| C23.205(C22⋊C4) = C2×C23.34D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.205(C2^2:C4) | 128,1011 | 
| C23.206(C22⋊C4) = C2×C24.4C4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.206(C2^2:C4) | 128,1609 | 
| C23.207(C22⋊C4) = C2×C23.37D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 32 |  | C2^3.207(C2^2:C4) | 128,1625 | 
| C23.208(C22⋊C4) = C2×C23.38D4 | φ: C22⋊C4/C23 → C2 ⊆ Aut C23 | 64 |  | C2^3.208(C2^2:C4) | 128,1626 | 
| C23.209(C22⋊C4) = (C2×C4).98D8 | central extension (φ=1) | 64 |  | C2^3.209(C2^2:C4) | 128,2 | 
| C23.210(C22⋊C4) = C4⋊C4⋊C8 | central extension (φ=1) | 128 |  | C2^3.210(C2^2:C4) | 128,3 | 
| C23.211(C22⋊C4) = (C2×Q8)⋊C8 | central extension (φ=1) | 128 |  | C2^3.211(C2^2:C4) | 128,4 | 
| C23.212(C22⋊C4) = C42.46Q8 | central extension (φ=1) | 128 |  | C2^3.212(C2^2:C4) | 128,11 | 
| C23.213(C22⋊C4) = C23.19C42 | central extension (φ=1) | 64 |  | C2^3.213(C2^2:C4) | 128,12 | 
| C23.214(C22⋊C4) = C23.30D8 | central extension (φ=1) | 32 |  | C2^3.214(C2^2:C4) | 128,26 | 
| C23.215(C22⋊C4) = C42.7Q8 | central extension (φ=1) | 128 |  | C2^3.215(C2^2:C4) | 128,27 | 
| C23.216(C22⋊C4) = C42.8Q8 | central extension (φ=1) | 128 |  | C2^3.216(C2^2:C4) | 128,28 | 
| C23.217(C22⋊C4) = C2×D4⋊C8 | central extension (φ=1) | 64 |  | C2^3.217(C2^2:C4) | 128,206 | 
| C23.218(C22⋊C4) = C2×Q8⋊C8 | central extension (φ=1) | 128 |  | C2^3.218(C2^2:C4) | 128,207 | 
| C23.219(C22⋊C4) = C2×C42.C22 | central extension (φ=1) | 64 |  | C2^3.219(C2^2:C4) | 128,254 | 
| C23.220(C22⋊C4) = C2×C42.2C22 | central extension (φ=1) | 128 |  | C2^3.220(C2^2:C4) | 128,255 | 
| C23.221(C22⋊C4) = C2×C4.D8 | central extension (φ=1) | 64 |  | C2^3.221(C2^2:C4) | 128,270 | 
| C23.222(C22⋊C4) = C2×C4.10D8 | central extension (φ=1) | 128 |  | C2^3.222(C2^2:C4) | 128,271 | 
| C23.223(C22⋊C4) = C2×C4.6Q16 | central extension (φ=1) | 128 |  | C2^3.223(C2^2:C4) | 128,273 | 
| C23.224(C22⋊C4) = C2×C22.7C42 | central extension (φ=1) | 128 |  | C2^3.224(C2^2:C4) | 128,459 | 
| C23.225(C22⋊C4) = C2×C42⋊6C4 | central extension (φ=1) | 32 |  | C2^3.225(C2^2:C4) | 128,464 | 
| C23.226(C22⋊C4) = C2×C22.4Q16 | central extension (φ=1) | 128 |  | C2^3.226(C2^2:C4) | 128,466 | 
| C23.227(C22⋊C4) = C2×C22.C42 | central extension (φ=1) | 64 |  | C2^3.227(C2^2:C4) | 128,473 | 
| C23.228(C22⋊C4) = C22×C2.C42 | central extension (φ=1) | 128 |  | C2^3.228(C2^2:C4) | 128,998 | 
| C23.229(C22⋊C4) = C22×C22⋊C8 | central extension (φ=1) | 64 |  | C2^3.229(C2^2:C4) | 128,1608 | 
| C23.230(C22⋊C4) = C22×C4.D4 | central extension (φ=1) | 32 |  | C2^3.230(C2^2:C4) | 128,1617 | 
| C23.231(C22⋊C4) = C22×C4.10D4 | central extension (φ=1) | 64 |  | C2^3.231(C2^2:C4) | 128,1618 | 
| C23.232(C22⋊C4) = C22×D4⋊C4 | central extension (φ=1) | 64 |  | C2^3.232(C2^2:C4) | 128,1622 | 
| C23.233(C22⋊C4) = C22×Q8⋊C4 | central extension (φ=1) | 128 |  | C2^3.233(C2^2:C4) | 128,1623 |