| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C8×C32⋊C4 | 48 | 4 | C8xC3^2:C4 | 288,414 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C8⋊1(C32⋊C4) = C3⋊S3.4D8 | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C8 | 48 | 4 | C8:1(C3^2:C4) | 288,417 |
| C8⋊2(C32⋊C4) = C8⋊(C32⋊C4) | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C8 | 48 | 4 | C8:2(C3^2:C4) | 288,416 |
| C8⋊3(C32⋊C4) = (C3×C24)⋊C4 | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C8 | 48 | 4 | C8:3(C3^2:C4) | 288,415 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C8.1(C32⋊C4) = C8.(C32⋊C4) | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C8 | 48 | 4 | C8.1(C3^2:C4) | 288,419 |
| C8.2(C32⋊C4) = (C3×C24).C4 | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C8 | 48 | 4 | C8.2(C3^2:C4) | 288,418 |
| C8.3(C32⋊C4) = C32⋊3M5(2) | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C8 | 48 | 4 | C8.3(C3^2:C4) | 288,413 |
| C8.4(C32⋊C4) = C32⋊2C32 | central extension (φ=1) | 96 | 4 | C8.4(C3^2:C4) | 288,188 |
| C8.5(C32⋊C4) = C3⋊S3⋊3C16 | central extension (φ=1) | 48 | 4 | C8.5(C3^2:C4) | 288,412 |