| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×D4×C3⋊S3 | 72 | C3xD4xC3:S3 | 432,714 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(D4×C3⋊S3) = C3⋊S3×D12 | φ: D4×C3⋊S3/C4×C3⋊S3 → C2 ⊆ Aut C3 | 72 | C3:1(D4xC3:S3) | 432,672 | |
| C3⋊2(D4×C3⋊S3) = C12⋊S32 | φ: D4×C3⋊S3/C12⋊S3 → C2 ⊆ Aut C3 | 72 | C3:2(D4xC3:S3) | 432,673 | |
| C3⋊3(D4×C3⋊S3) = C62⋊23D6 | φ: D4×C3⋊S3/C32⋊7D4 → C2 ⊆ Aut C3 | 36 | C3:3(D4xC3:S3) | 432,686 | |
| C3⋊4(D4×C3⋊S3) = D4×C33⋊C2 | φ: D4×C3⋊S3/D4×C32 → C2 ⊆ Aut C3 | 108 | C3:4(D4xC3:S3) | 432,724 | |
| C3⋊5(D4×C3⋊S3) = C3⋊S3×C3⋊D4 | φ: D4×C3⋊S3/C22×C3⋊S3 → C2 ⊆ Aut C3 | 72 | C3:5(D4xC3:S3) | 432,685 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(D4×C3⋊S3) = D4×C9⋊S3 | φ: D4×C3⋊S3/D4×C32 → C2 ⊆ Aut C3 | 108 | C3.(D4xC3:S3) | 432,388 | |
| C3.2(D4×C3⋊S3) = D4×He3⋊C2 | central stem extension (φ=1) | 36 | 6 | C3.2(D4xC3:S3) | 432,390 |