| 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) | 288,908 |
| C2.2(C2×C3⋊S4) = C2×C6.7S4 | central extension (φ=1) | 72 | | C2.2(C2xC3:S4) | 288,916 |
| C2.3(C2×C3⋊S4) = A4⋊Dic6 | central stem extension (φ=1) | 72 | 6- | C2.3(C2xC3:S4) | 288,907 |
| C2.4(C2×C3⋊S4) = C12⋊S4 | central stem extension (φ=1) | 36 | 6+ | C2.4(C2xC3:S4) | 288,909 |
| C2.5(C2×C3⋊S4) = C2×C6.5S4 | central stem extension (φ=1) | 96 | | C2.5(C2xC3:S4) | 288,910 |
| C2.6(C2×C3⋊S4) = C2×C6.6S4 | central stem extension (φ=1) | 48 | | C2.6(C2xC3:S4) | 288,911 |
| C2.7(C2×C3⋊S4) = SL2(𝔽3).D6 | central stem extension (φ=1) | 48 | 4 | C2.7(C2xC3:S4) | 288,912 |
| C2.8(C2×C3⋊S4) = C12.6S4 | central stem extension (φ=1) | 96 | 4- | C2.8(C2xC3:S4) | 288,913 |
| C2.9(C2×C3⋊S4) = C12.14S4 | central stem extension (φ=1) | 48 | 4 | C2.9(C2xC3:S4) | 288,914 |
| C2.10(C2×C3⋊S4) = C12.7S4 | central stem extension (φ=1) | 48 | 4+ | C2.10(C2xC3:S4) | 288,915 |
| C2.11(C2×C3⋊S4) = (C2×C6)⋊4S4 | central stem extension (φ=1) | 36 | 6 | C2.11(C2xC3:S4) | 288,917 |