extension | φ:Q→Aut N | d | ρ | Label | ID |
C8⋊1(S3×D5) = C24⋊D10 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 120 | 4+ | C8:1(S3xD5) | 480,325 |
C8⋊2(S3×D5) = D24⋊D5 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 120 | 4 | C8:2(S3xD5) | 480,326 |
C8⋊3(S3×D5) = C40⋊1D6 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 120 | 4+ | C8:3(S3xD5) | 480,329 |
C8⋊4(S3×D5) = D40⋊S3 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 120 | 4 | C8:4(S3xD5) | 480,330 |
C8⋊5(S3×D5) = D24⋊6D5 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 120 | 4 | C8:5(S3xD5) | 480,333 |
C8⋊6(S3×D5) = C40⋊8D6 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 120 | 4 | C8:6(S3xD5) | 480,334 |
C8⋊7(S3×D5) = S3×D40 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 120 | 4+ | C8:7(S3xD5) | 480,328 |
C8⋊8(S3×D5) = S3×C40⋊C2 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 120 | 4 | C8:8(S3xD5) | 480,327 |
C8⋊9(S3×D5) = S3×C8⋊D5 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 120 | 4 | C8:9(S3xD5) | 480,321 |
C8⋊10(S3×D5) = D5×D24 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 120 | 4+ | C8:10(S3xD5) | 480,324 |
C8⋊11(S3×D5) = D5×C24⋊C2 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 120 | 4 | C8:11(S3xD5) | 480,323 |
C8⋊12(S3×D5) = D5×C8⋊S3 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 120 | 4 | C8:12(S3xD5) | 480,320 |
C8⋊13(S3×D5) = C40⋊5D6 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 120 | 4 | C8:13(S3xD5) | 480,332 |
C8⋊14(S3×D5) = C40⋊14D6 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 120 | 4 | C8:14(S3xD5) | 480,331 |
C8⋊15(S3×D5) = C40⋊D6 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 120 | 4 | C8:15(S3xD5) | 480,322 |
extension | φ:Q→Aut N | d | ρ | Label | ID |
C8.1(S3×D5) = Dic60⋊C2 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 240 | 4- | C8.1(S3xD5) | 480,336 |
C8.2(S3×D5) = C24.2D10 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 240 | 4 | C8.2(S3xD5) | 480,337 |
C8.3(S3×D5) = Dic20⋊S3 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 240 | 4 | C8.3(S3xD5) | 480,339 |
C8.4(S3×D5) = C40.2D6 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 240 | 4- | C8.4(S3xD5) | 480,350 |
C8.5(S3×D5) = D30.3D4 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 240 | 4 | C8.5(S3xD5) | 480,354 |
C8.6(S3×D5) = D30.4D4 | φ: S3×D5/C15 → C22 ⊆ Aut C8 | 240 | 4 | C8.6(S3xD5) | 480,356 |
C8.7(S3×D5) = C3⋊D80 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 240 | 4+ | C8.7(S3xD5) | 480,14 |
C8.8(S3×D5) = D40.S3 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 240 | 4- | C8.8(S3xD5) | 480,18 |
C8.9(S3×D5) = C24.D10 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 240 | 4+ | C8.9(S3xD5) | 480,19 |
C8.10(S3×D5) = C3⋊Dic40 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 480 | 4- | C8.10(S3xD5) | 480,23 |
C8.11(S3×D5) = S3×Dic20 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 240 | 4- | C8.11(S3xD5) | 480,338 |
C8.12(S3×D5) = D40⋊7S3 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 240 | 4- | C8.12(S3xD5) | 480,349 |
C8.13(S3×D5) = D120⋊5C2 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 240 | 4+ | C8.13(S3xD5) | 480,351 |
C8.14(S3×D5) = D6.1D20 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 240 | 4 | C8.14(S3xD5) | 480,348 |
C8.15(S3×D5) = C40.55D6 | φ: S3×D5/C5×S3 → C2 ⊆ Aut C8 | 240 | 4 | C8.15(S3xD5) | 480,343 |
C8.16(S3×D5) = C5⋊D48 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 240 | 4+ | C8.16(S3xD5) | 480,15 |
C8.17(S3×D5) = D24.D5 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 240 | 4- | C8.17(S3xD5) | 480,20 |
C8.18(S3×D5) = Dic12⋊D5 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 240 | 4+ | C8.18(S3xD5) | 480,21 |
C8.19(S3×D5) = C5⋊Dic24 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 480 | 4- | C8.19(S3xD5) | 480,24 |
C8.20(S3×D5) = D5×Dic12 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 240 | 4- | C8.20(S3xD5) | 480,335 |
C8.21(S3×D5) = D24⋊7D5 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 240 | 4- | C8.21(S3xD5) | 480,346 |
C8.22(S3×D5) = D120⋊C2 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 240 | 4+ | C8.22(S3xD5) | 480,347 |
C8.23(S3×D5) = C40.31D6 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 240 | 4 | C8.23(S3xD5) | 480,345 |
C8.24(S3×D5) = C40.34D6 | φ: S3×D5/C3×D5 → C2 ⊆ Aut C8 | 240 | 4 | C8.24(S3xD5) | 480,342 |
C8.25(S3×D5) = C15⋊D16 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 240 | 4 | C8.25(S3xD5) | 480,13 |
C8.26(S3×D5) = C40.D6 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 240 | 4 | C8.26(S3xD5) | 480,16 |
C8.27(S3×D5) = C15⋊SD32 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 240 | 4 | C8.27(S3xD5) | 480,17 |
C8.28(S3×D5) = C15⋊Q32 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 480 | 4 | C8.28(S3xD5) | 480,22 |
C8.29(S3×D5) = Dic10.D6 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 240 | 4 | C8.29(S3xD5) | 480,340 |
C8.30(S3×D5) = D40⋊5S3 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 240 | 4 | C8.30(S3xD5) | 480,353 |
C8.31(S3×D5) = D24⋊5D5 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 240 | 4 | C8.31(S3xD5) | 480,355 |
C8.32(S3×D5) = Dic6.D10 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 240 | 4 | C8.32(S3xD5) | 480,352 |
C8.33(S3×D5) = C40.35D6 | φ: S3×D5/D15 → C2 ⊆ Aut C8 | 240 | 4 | C8.33(S3xD5) | 480,344 |
C8.34(S3×D5) = D5×C3⋊C16 | central extension (φ=1) | 240 | 4 | C8.34(S3xD5) | 480,7 |
C8.35(S3×D5) = S3×C5⋊2C16 | central extension (φ=1) | 240 | 4 | C8.35(S3xD5) | 480,8 |
C8.36(S3×D5) = D15⋊2C16 | central extension (φ=1) | 240 | 4 | C8.36(S3xD5) | 480,9 |
C8.37(S3×D5) = C40.51D6 | central extension (φ=1) | 240 | 4 | C8.37(S3xD5) | 480,10 |
C8.38(S3×D5) = C40.52D6 | central extension (φ=1) | 240 | 4 | C8.38(S3xD5) | 480,11 |
C8.39(S3×D5) = D30.5C8 | central extension (φ=1) | 240 | 4 | C8.39(S3xD5) | 480,12 |
C8.40(S3×D5) = C40.54D6 | central extension (φ=1) | 240 | 4 | C8.40(S3xD5) | 480,341 |