| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C6×C12 | 144 | S3xC6xC12 | 432,701 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(S3×C2×C12) = S32×C12 | φ: S3×C2×C12/S3×C12 → C2 ⊆ Aut C3 | 48 | 4 | C3:1(S3xC2xC12) | 432,648 |
| C3⋊2(S3×C2×C12) = C6×C6.D6 | φ: S3×C2×C12/C6×Dic3 → C2 ⊆ Aut C3 | 48 | C3:2(S3xC2xC12) | 432,654 | |
| C3⋊3(S3×C2×C12) = C3⋊S3×C2×C12 | φ: S3×C2×C12/C6×C12 → C2 ⊆ Aut C3 | 144 | C3:3(S3xC2xC12) | 432,711 | |
| C3⋊4(S3×C2×C12) = S3×C6×Dic3 | φ: S3×C2×C12/S3×C2×C6 → C2 ⊆ Aut C3 | 48 | C3:4(S3xC2xC12) | 432,651 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(S3×C2×C12) = D9×C2×C12 | φ: S3×C2×C12/C6×C12 → C2 ⊆ Aut C3 | 144 | C3.1(S3xC2xC12) | 432,342 | |
| C3.2(S3×C2×C12) = C2×C4×C32⋊C6 | φ: S3×C2×C12/C6×C12 → C2 ⊆ Aut C3 | 72 | C3.2(S3xC2xC12) | 432,349 | |
| C3.3(S3×C2×C12) = C2×C4×C9⋊C6 | φ: S3×C2×C12/C6×C12 → C2 ⊆ Aut C3 | 72 | C3.3(S3xC2xC12) | 432,353 | |
| C3.4(S3×C2×C12) = S3×C2×C36 | central extension (φ=1) | 144 | C3.4(S3xC2xC12) | 432,345 |