| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C23×C3⋊S3 | 72 | C2^3xC3:S3 | 144,196 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23⋊(C3⋊S3) = C2×C3⋊S4 | φ: C3⋊S3/C3 → S3 ⊆ Aut C23 | 18 | 6+ | C2^3:(C3:S3) | 144,189 |
| C23⋊2(C3⋊S3) = C2×C32⋊7D4 | φ: C3⋊S3/C32 → C2 ⊆ Aut C23 | 72 | C2^3:2(C3:S3) | 144,177 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23.(C3⋊S3) = C6.7S4 | φ: C3⋊S3/C3 → S3 ⊆ Aut C23 | 36 | 6- | C2^3.(C3:S3) | 144,126 |
| C23.2(C3⋊S3) = C62⋊5C4 | φ: C3⋊S3/C32 → C2 ⊆ Aut C23 | 72 | C2^3.2(C3:S3) | 144,100 | |
| C23.3(C3⋊S3) = C22×C3⋊Dic3 | central extension (φ=1) | 144 | C2^3.3(C3:S3) | 144,176 |