| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C16×C3⋊S3 | 144 | C16xC3:S3 | 288,272 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C16⋊1(C3⋊S3) = C32⋊5D16 | φ: C3⋊S3/C32 → C2 ⊆ Aut C16 | 144 | C16:1(C3:S3) | 288,274 | |
| C16⋊2(C3⋊S3) = C6.D24 | φ: C3⋊S3/C32 → C2 ⊆ Aut C16 | 144 | C16:2(C3:S3) | 288,275 | |
| C16⋊3(C3⋊S3) = C48⋊S3 | φ: C3⋊S3/C32 → C2 ⊆ Aut C16 | 144 | C16:3(C3:S3) | 288,273 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C16.(C3⋊S3) = C32⋊5Q32 | φ: C3⋊S3/C32 → C2 ⊆ Aut C16 | 288 | C16.(C3:S3) | 288,276 | |
| C16.2(C3⋊S3) = C48.S3 | central extension (φ=1) | 288 | C16.2(C3:S3) | 288,65 |