| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C23×C3⋊S3 | 72 | C2^3xC3:S3 | 144,196 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊S3⋊C23 = C22×S32 | φ: C23/C22 → C2 ⊆ Out C3⋊S3 | 24 | C3:S3:C2^3 | 144,192 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊S3.1C23 = C2×S3≀C2 | φ: C23/C2 → C22 ⊆ Out C3⋊S3 | 12 | 4+ | C3:S3.1C2^3 | 144,186 |
| C3⋊S3.2C23 = C2×PSU3(𝔽2) | φ: C23/C2 → C22 ⊆ Out C3⋊S3 | 18 | 8+ | C3:S3.2C2^3 | 144,187 |
| C3⋊S3.3C23 = C22×C32⋊C4 | φ: C23/C22 → C2 ⊆ Out C3⋊S3 | 24 | C3:S3.3C2^3 | 144,191 |