extension | φ:Q→Aut N | d | ρ | Label | ID |
C22.1(C4×F5) = (C2×C8)⋊F5 | φ: C4×F5/C4×D5 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.1(C4xF5) | 320,232 |
C22.2(C4×F5) = C22⋊F5⋊C4 | φ: C4×F5/C4×D5 → C2 ⊆ Aut C22 | 80 | | C2^2.2(C4xF5) | 320,255 |
C22.3(C4×F5) = C22.F5⋊C4 | φ: C4×F5/C4×D5 → C2 ⊆ Aut C22 | 160 | | C2^2.3(C4xF5) | 320,257 |
C22.4(C4×F5) = C20.12C42 | φ: C4×F5/C4×D5 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.4(C4xF5) | 320,1056 |
C22.5(C4×F5) = C4×C22.F5 | φ: C4×F5/C4×D5 → C2 ⊆ Aut C22 | 160 | | C2^2.5(C4xF5) | 320,1088 |
C22.6(C4×F5) = (C22×F5)⋊C4 | φ: C4×F5/C2×F5 → C2 ⊆ Aut C22 | 40 | 8+ | C2^2.6(C4xF5) | 320,204 |
C22.7(C4×F5) = C22⋊C4.F5 | φ: C4×F5/C2×F5 → C2 ⊆ Aut C22 | 80 | 8- | C2^2.7(C4xF5) | 320,205 |
C22.8(C4×F5) = M4(2)⋊F5 | φ: C4×F5/C2×F5 → C2 ⊆ Aut C22 | 40 | 8 | C2^2.8(C4xF5) | 320,237 |
C22.9(C4×F5) = M4(2)⋊4F5 | φ: C4×F5/C2×F5 → C2 ⊆ Aut C22 | 80 | 8 | C2^2.9(C4xF5) | 320,240 |
C22.10(C4×F5) = Dic5.C42 | φ: C4×F5/C2×F5 → C2 ⊆ Aut C22 | 160 | | C2^2.10(C4xF5) | 320,1029 |
C22.11(C4×F5) = M4(2)×F5 | φ: C4×F5/C2×F5 → C2 ⊆ Aut C22 | 40 | 8 | C2^2.11(C4xF5) | 320,1064 |
C22.12(C4×F5) = M4(2)⋊5F5 | φ: C4×F5/C2×F5 → C2 ⊆ Aut C22 | 80 | 8 | C2^2.12(C4xF5) | 320,1066 |
C22.13(C4×F5) = C8×C5⋊C8 | central extension (φ=1) | 320 | | C2^2.13(C4xF5) | 320,216 |
C22.14(C4×F5) = C40⋊C8 | central extension (φ=1) | 320 | | C2^2.14(C4xF5) | 320,217 |
C22.15(C4×F5) = C20.31M4(2) | central extension (φ=1) | 320 | | C2^2.15(C4xF5) | 320,218 |
C22.16(C4×F5) = D10.3M4(2) | central extension (φ=1) | 80 | | C2^2.16(C4xF5) | 320,230 |
C22.17(C4×F5) = C10.(C4⋊C8) | central extension (φ=1) | 320 | | C2^2.17(C4xF5) | 320,256 |
C22.18(C4×F5) = C2×C8×F5 | central extension (φ=1) | 80 | | C2^2.18(C4xF5) | 320,1054 |
C22.19(C4×F5) = C2×C8⋊F5 | central extension (φ=1) | 80 | | C2^2.19(C4xF5) | 320,1055 |
C22.20(C4×F5) = C2×C4×C5⋊C8 | central extension (φ=1) | 320 | | C2^2.20(C4xF5) | 320,1084 |
C22.21(C4×F5) = C2×C10.C42 | central extension (φ=1) | 320 | | C2^2.21(C4xF5) | 320,1087 |
C22.22(C4×F5) = C2×D10.3Q8 | central extension (φ=1) | 80 | | C2^2.22(C4xF5) | 320,1100 |