| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3⋊S3×C22×C6 | 144 | C3:S3xC2^2xC6 | 432,773 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C23×C3⋊S3) = C22×S3×C3⋊S3 | φ: C23×C3⋊S3/C22×C3⋊S3 → C2 ⊆ Aut C3 | 72 | C3:1(C2^3xC3:S3) | 432,768 | |
| C3⋊2(C23×C3⋊S3) = C23×C33⋊C2 | φ: C23×C3⋊S3/C2×C62 → C2 ⊆ Aut C3 | 216 | C3:2(C2^3xC3:S3) | 432,774 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(C23×C3⋊S3) = C23×C9⋊S3 | φ: C23×C3⋊S3/C2×C62 → C2 ⊆ Aut C3 | 216 | C3.(C2^3xC3:S3) | 432,560 | |
| C3.2(C23×C3⋊S3) = C23×He3⋊C2 | central stem extension (φ=1) | 72 | C3.2(C2^3xC3:S3) | 432,561 |