| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3⋊S3×C24 | 144 | C3:S3xC24 | 432,480 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C8×C3⋊S3) = C12.69S32 | φ: C8×C3⋊S3/C32⋊4C8 → C2 ⊆ Aut C3 | 72 | C3:1(C8xC3:S3) | 432,432 | |
| C3⋊2(C8×C3⋊S3) = C8×C33⋊C2 | φ: C8×C3⋊S3/C3×C24 → C2 ⊆ Aut C3 | 216 | C3:2(C8xC3:S3) | 432,496 | |
| C3⋊3(C8×C3⋊S3) = C3⋊S3×C3⋊C8 | φ: C8×C3⋊S3/C4×C3⋊S3 → C2 ⊆ Aut C3 | 144 | C3:3(C8xC3:S3) | 432,431 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(C8×C3⋊S3) = C8×C9⋊S3 | φ: C8×C3⋊S3/C3×C24 → C2 ⊆ Aut C3 | 216 | C3.(C8xC3:S3) | 432,169 | |
| C3.2(C8×C3⋊S3) = C8×He3⋊C2 | central stem extension (φ=1) | 72 | 3 | C3.2(C8xC3:S3) | 432,173 |