| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×Q8×C3⋊S3 | 144 | C3xQ8xC3:S3 | 432,716 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(Q8×C3⋊S3) = C32⋊9(S3×Q8) | φ: Q8×C3⋊S3/C32⋊4Q8 → C2 ⊆ Aut C3 | 72 | C3:1(Q8xC3:S3) | 432,666 | |
| C3⋊2(Q8×C3⋊S3) = C3⋊S3×Dic6 | φ: Q8×C3⋊S3/C4×C3⋊S3 → C2 ⊆ Aut C3 | 144 | C3:2(Q8xC3:S3) | 432,663 | |
| C3⋊3(Q8×C3⋊S3) = Q8×C33⋊C2 | φ: Q8×C3⋊S3/Q8×C32 → C2 ⊆ Aut C3 | 216 | C3:3(Q8xC3:S3) | 432,726 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(Q8×C3⋊S3) = Q8×C9⋊S3 | φ: Q8×C3⋊S3/Q8×C32 → C2 ⊆ Aut C3 | 216 | C3.(Q8xC3:S3) | 432,392 | |
| C3.2(Q8×C3⋊S3) = Q8×He3⋊C2 | central stem extension (φ=1) | 72 | 6 | C3.2(Q8xC3:S3) | 432,394 |