| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3⋊S3×C22×C6 | 144 | C3:S3xC2^2xC6 | 432,773 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23⋊(C3×C3⋊S3) = C6×C3⋊S4 | φ: C3×C3⋊S3/C32 → S3 ⊆ Aut C23 | 36 | 6 | C2^3:(C3xC3:S3) | 432,761 |
| C23⋊2(C3×C3⋊S3) = C2×A4×C3⋊S3 | φ: C3×C3⋊S3/C3⋊S3 → C3 ⊆ Aut C23 | 54 | C2^3:2(C3xC3:S3) | 432,764 | |
| C23⋊3(C3×C3⋊S3) = C6×C32⋊7D4 | φ: C3×C3⋊S3/C33 → C2 ⊆ Aut C23 | 72 | C2^3:3(C3xC3:S3) | 432,719 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23.(C3×C3⋊S3) = C3×C6.7S4 | φ: C3×C3⋊S3/C32 → S3 ⊆ Aut C23 | 36 | 6 | C2^3.(C3xC3:S3) | 432,618 |
| C23.2(C3×C3⋊S3) = A4×C3⋊Dic3 | φ: C3×C3⋊S3/C3⋊S3 → C3 ⊆ Aut C23 | 108 | C2^3.2(C3xC3:S3) | 432,627 | |
| C23.3(C3×C3⋊S3) = C3×C62⋊5C4 | φ: C3×C3⋊S3/C33 → C2 ⊆ Aut C23 | 72 | C2^3.3(C3xC3:S3) | 432,495 | |
| C23.4(C3×C3⋊S3) = C2×C6×C3⋊Dic3 | central extension (φ=1) | 144 | C2^3.4(C3xC3:S3) | 432,718 |