| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C6×C3⋊S3 | 72 | C2xC6xC3:S3 | 216,175 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C6×C3⋊S3) = C12×C3⋊S3 | central extension (φ=1) | 72 | C2.1(C6xC3:S3) | 216,141 | |
| C2.2(C6×C3⋊S3) = C6×C3⋊Dic3 | central extension (φ=1) | 72 | C2.2(C6xC3:S3) | 216,143 | |
| C2.3(C6×C3⋊S3) = C3×C32⋊4Q8 | central stem extension (φ=1) | 72 | C2.3(C6xC3:S3) | 216,140 | |
| C2.4(C6×C3⋊S3) = C3×C12⋊S3 | central stem extension (φ=1) | 72 | C2.4(C6xC3:S3) | 216,142 | |
| C2.5(C6×C3⋊S3) = C3×C32⋊7D4 | central stem extension (φ=1) | 36 | C2.5(C6xC3:S3) | 216,144 |