| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×S3×D4 | 24 | 4 | C3xS3xD4 | 144,162 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(S3×D4) = S3×D12 | φ: S3×D4/C4×S3 → C2 ⊆ Aut C3 | 24 | 4+ | C3:1(S3xD4) | 144,144 |
| C3⋊2(S3×D4) = D6⋊D6 | φ: S3×D4/D12 → C2 ⊆ Aut C3 | 24 | 4 | C3:2(S3xD4) | 144,145 |
| C3⋊3(S3×D4) = Dic3⋊D6 | φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C3 | 12 | 4+ | C3:3(S3xD4) | 144,154 |
| C3⋊4(S3×D4) = D4×C3⋊S3 | φ: S3×D4/C3×D4 → C2 ⊆ Aut C3 | 36 | C3:4(S3xD4) | 144,172 | |
| C3⋊5(S3×D4) = S3×C3⋊D4 | φ: S3×D4/C22×S3 → C2 ⊆ Aut C3 | 24 | 4 | C3:5(S3xD4) | 144,153 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(S3×D4) = D4×D9 | φ: S3×D4/C3×D4 → C2 ⊆ Aut C3 | 36 | 4+ | C3.(S3xD4) | 144,41 |