| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C3×C12 | 72 | S3xC3xC12 | 216,136 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(S3×C12) = C3×C6.D6 | φ: S3×C12/C3×Dic3 → C2 ⊆ Aut C3 | 24 | 4 | C3:1(S3xC12) | 216,120 |
| C3⋊2(S3×C12) = C12×C3⋊S3 | φ: S3×C12/C3×C12 → C2 ⊆ Aut C3 | 72 | C3:2(S3xC12) | 216,141 | |
| C3⋊3(S3×C12) = C3×S3×Dic3 | φ: S3×C12/S3×C6 → C2 ⊆ Aut C3 | 24 | 4 | C3:3(S3xC12) | 216,119 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(S3×C12) = C12×D9 | φ: S3×C12/C3×C12 → C2 ⊆ Aut C3 | 72 | 2 | C3.1(S3xC12) | 216,45 |
| C3.2(S3×C12) = C4×C32⋊C6 | φ: S3×C12/C3×C12 → C2 ⊆ Aut C3 | 36 | 6 | C3.2(S3xC12) | 216,50 |
| C3.3(S3×C12) = C4×C9⋊C6 | φ: S3×C12/C3×C12 → C2 ⊆ Aut C3 | 36 | 6 | C3.3(S3xC12) | 216,53 |
| C3.4(S3×C12) = S3×C36 | central extension (φ=1) | 72 | 2 | C3.4(S3xC12) | 216,47 |