| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C10.1(C2×S4) = CSU2(𝔽3)⋊D5 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 160 | 4 | C10.1(C2xS4) | 480,967 |
| C10.2(C2×S4) = Dic5.6S4 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 80 | 4 | C10.2(C2xS4) | 480,968 |
| C10.3(C2×S4) = Dic5.7S4 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 80 | 4+ | C10.3(C2xS4) | 480,969 |
| C10.4(C2×S4) = GL2(𝔽3)⋊D5 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 80 | 4+ | C10.4(C2xS4) | 480,970 |
| C10.5(C2×S4) = D5×CSU2(𝔽3) | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 80 | 4- | C10.5(C2xS4) | 480,971 |
| C10.6(C2×S4) = D10.1S4 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 80 | 4- | C10.6(C2xS4) | 480,972 |
| C10.7(C2×S4) = D10.2S4 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 80 | 4 | C10.7(C2xS4) | 480,973 |
| C10.8(C2×S4) = D5×GL2(𝔽3) | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 40 | 4 | C10.8(C2xS4) | 480,974 |
| C10.9(C2×S4) = A4⋊Dic10 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 120 | 6- | C10.9(C2xS4) | 480,975 |
| C10.10(C2×S4) = Dic5×S4 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 60 | 6- | C10.10(C2xS4) | 480,976 |
| C10.11(C2×S4) = Dic5⋊2S4 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 60 | 6 | C10.11(C2xS4) | 480,977 |
| C10.12(C2×S4) = Dic5⋊S4 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 60 | 6 | C10.12(C2xS4) | 480,978 |
| C10.13(C2×S4) = D5×A4⋊C4 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 60 | 6 | C10.13(C2xS4) | 480,979 |
| C10.14(C2×S4) = D10⋊S4 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 60 | 6 | C10.14(C2xS4) | 480,980 |
| C10.15(C2×S4) = A4⋊D20 | φ: C2×S4/S4 → C2 ⊆ Aut C10 | 60 | 6+ | C10.15(C2xS4) | 480,981 |
| C10.16(C2×S4) = C20.1S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 120 | 6- | C10.16(C2xS4) | 480,1024 |
| C10.17(C2×S4) = C4×C5⋊S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 60 | 6 | C10.17(C2xS4) | 480,1025 |
| C10.18(C2×S4) = C20⋊S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 60 | 6+ | C10.18(C2xS4) | 480,1026 |
| C10.19(C2×S4) = C2×Q8.D15 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 160 | | C10.19(C2xS4) | 480,1027 |
| C10.20(C2×S4) = C2×Q8⋊D15 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 80 | | C10.20(C2xS4) | 480,1028 |
| C10.21(C2×S4) = Q8.D30 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 80 | 4 | C10.21(C2xS4) | 480,1029 |
| C10.22(C2×S4) = C20.2S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 160 | 4- | C10.22(C2xS4) | 480,1030 |
| C10.23(C2×S4) = C20.6S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 80 | 4 | C10.23(C2xS4) | 480,1031 |
| C10.24(C2×S4) = C20.3S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 80 | 4+ | C10.24(C2xS4) | 480,1032 |
| C10.25(C2×S4) = C2×A4⋊Dic5 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 120 | | C10.25(C2xS4) | 480,1033 |
| C10.26(C2×S4) = C24⋊2D15 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C10 | 60 | 6 | C10.26(C2xS4) | 480,1034 |
| C10.27(C2×S4) = C5×A4⋊Q8 | central extension (φ=1) | 120 | 6 | C10.27(C2xS4) | 480,1013 |
| C10.28(C2×S4) = C20×S4 | central extension (φ=1) | 60 | 3 | C10.28(C2xS4) | 480,1014 |
| C10.29(C2×S4) = C5×C4⋊S4 | central extension (φ=1) | 60 | 6 | C10.29(C2xS4) | 480,1015 |
| C10.30(C2×S4) = C10×CSU2(𝔽3) | central extension (φ=1) | 160 | | C10.30(C2xS4) | 480,1016 |
| C10.31(C2×S4) = C10×GL2(𝔽3) | central extension (φ=1) | 80 | | C10.31(C2xS4) | 480,1017 |
| C10.32(C2×S4) = C5×Q8.D6 | central extension (φ=1) | 80 | 4 | C10.32(C2xS4) | 480,1018 |
| C10.33(C2×S4) = C5×C4.S4 | central extension (φ=1) | 160 | 4 | C10.33(C2xS4) | 480,1019 |
| C10.34(C2×S4) = C5×C4.6S4 | central extension (φ=1) | 80 | 2 | C10.34(C2xS4) | 480,1020 |
| C10.35(C2×S4) = C5×C4.3S4 | central extension (φ=1) | 80 | 4 | C10.35(C2xS4) | 480,1021 |
| C10.36(C2×S4) = C10×A4⋊C4 | central extension (φ=1) | 120 | | C10.36(C2xS4) | 480,1022 |
| C10.37(C2×S4) = C5×A4⋊D4 | central extension (φ=1) | 60 | 6 | C10.37(C2xS4) | 480,1023 |