| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C2.1(C2×C6×C3⋊S3) = C3⋊S3×C2×C12 | central extension (φ=1) | 144 | | C2.1(C2xC6xC3:S3) | 432,711 |
| C2.2(C2×C6×C3⋊S3) = C2×C6×C3⋊Dic3 | central extension (φ=1) | 144 | | C2.2(C2xC6xC3:S3) | 432,718 |
| C2.3(C2×C6×C3⋊S3) = C6×C32⋊4Q8 | central stem extension (φ=1) | 144 | | C2.3(C2xC6xC3:S3) | 432,710 |
| C2.4(C2×C6×C3⋊S3) = C6×C12⋊S3 | central stem extension (φ=1) | 144 | | C2.4(C2xC6xC3:S3) | 432,712 |
| C2.5(C2×C6×C3⋊S3) = C3×C12.59D6 | central stem extension (φ=1) | 72 | | C2.5(C2xC6xC3:S3) | 432,713 |
| C2.6(C2×C6×C3⋊S3) = C3×D4×C3⋊S3 | central stem extension (φ=1) | 72 | | C2.6(C2xC6xC3:S3) | 432,714 |
| C2.7(C2×C6×C3⋊S3) = C3×C12.D6 | central stem extension (φ=1) | 72 | | C2.7(C2xC6xC3:S3) | 432,715 |
| C2.8(C2×C6×C3⋊S3) = C3×Q8×C3⋊S3 | central stem extension (φ=1) | 144 | | C2.8(C2xC6xC3:S3) | 432,716 |
| C2.9(C2×C6×C3⋊S3) = C3×C12.26D6 | central stem extension (φ=1) | 144 | | C2.9(C2xC6xC3:S3) | 432,717 |
| C2.10(C2×C6×C3⋊S3) = C6×C32⋊7D4 | central stem extension (φ=1) | 72 | | C2.10(C2xC6xC3:S3) | 432,719 |