extension | φ:Q→Aut N | d | ρ | Label | ID |
C2.1(C2×C3.S4) = C4×C3.S4 | central extension (φ=1) | 36 | 6 | C2.1(C2xC3.S4) | 288,333 |
C2.2(C2×C3.S4) = C2×C6.S4 | central extension (φ=1) | 72 | | C2.2(C2xC3.S4) | 288,341 |
C2.3(C2×C3.S4) = C12.1S4 | central stem extension (φ=1) | 72 | 6- | C2.3(C2xC3.S4) | 288,332 |
C2.4(C2×C3.S4) = C22⋊D36 | central stem extension (φ=1) | 36 | 6+ | C2.4(C2xC3.S4) | 288,334 |
C2.5(C2×C3.S4) = C2×Q8.D9 | central stem extension (φ=1) | 288 | | C2.5(C2xC3.S4) | 288,335 |
C2.6(C2×C3.S4) = C2×Q8⋊D9 | central stem extension (φ=1) | 144 | | C2.6(C2xC3.S4) | 288,336 |
C2.7(C2×C3.S4) = Q8.D18 | central stem extension (φ=1) | 144 | 4 | C2.7(C2xC3.S4) | 288,337 |
C2.8(C2×C3.S4) = C12.3S4 | central stem extension (φ=1) | 144 | 4- | C2.8(C2xC3.S4) | 288,338 |
C2.9(C2×C3.S4) = C12.11S4 | central stem extension (φ=1) | 144 | 4 | C2.9(C2xC3.S4) | 288,339 |
C2.10(C2×C3.S4) = C12.4S4 | central stem extension (φ=1) | 72 | 4+ | C2.10(C2xC3.S4) | 288,340 |
C2.11(C2×C3.S4) = C23.D18 | central stem extension (φ=1) | 36 | 6 | C2.11(C2xC3.S4) | 288,342 |