| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×S3×C3⋊D4 | 24 | 4 | C3xS3xC3:D4 | 432,658 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(S3×C3⋊D4) = S3×C3⋊D12 | φ: S3×C3⋊D4/S3×Dic3 → C2 ⊆ Aut C3 | 24 | 8+ | C3:1(S3xC3:D4) | 432,598 |
| C3⋊2(S3×C3⋊D4) = D6⋊4S32 | φ: S3×C3⋊D4/D6⋊S3 → C2 ⊆ Aut C3 | 24 | 8+ | C3:2(S3xC3:D4) | 432,599 |
| C3⋊3(S3×C3⋊D4) = D6⋊S32 | φ: S3×C3⋊D4/C3⋊D12 → C2 ⊆ Aut C3 | 48 | 8- | C3:3(S3xC3:D4) | 432,600 |
| C3⋊4(S3×C3⋊D4) = C3⋊S3×C3⋊D4 | φ: S3×C3⋊D4/C3×C3⋊D4 → C2 ⊆ Aut C3 | 72 | C3:4(S3xC3:D4) | 432,685 | |
| C3⋊5(S3×C3⋊D4) = C62⋊24D6 | φ: S3×C3⋊D4/C32⋊7D4 → C2 ⊆ Aut C3 | 24 | 4 | C3:5(S3xC3:D4) | 432,696 |
| C3⋊6(S3×C3⋊D4) = S3×D6⋊S3 | φ: S3×C3⋊D4/C2×S32 → C2 ⊆ Aut C3 | 48 | 8- | C3:6(S3xC3:D4) | 432,597 |
| C3⋊7(S3×C3⋊D4) = S3×C32⋊7D4 | φ: S3×C3⋊D4/S3×C2×C6 → C2 ⊆ Aut C3 | 72 | C3:7(S3xC3:D4) | 432,684 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(S3×C3⋊D4) = D9×C3⋊D4 | φ: S3×C3⋊D4/C3×C3⋊D4 → C2 ⊆ Aut C3 | 72 | 4 | C3.1(S3xC3:D4) | 432,314 |
| C3.2(S3×C3⋊D4) = C62⋊D6 | φ: S3×C3⋊D4/C32⋊7D4 → C2 ⊆ Aut C3 | 36 | 12+ | C3.2(S3xC3:D4) | 432,323 |
| C3.3(S3×C3⋊D4) = S3×C9⋊D4 | φ: S3×C3⋊D4/S3×C2×C6 → C2 ⊆ Aut C3 | 72 | 4 | C3.3(S3xC3:D4) | 432,313 |