| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C4×C32⋊C4 | 24 | 4 | C4xC3^2:C4 | 144,132 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C4⋊(C32⋊C4) = C4⋊(C32⋊C4) | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C4 | 24 | 4 | C4:(C3^2:C4) | 144,133 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C4.(C32⋊C4) = C32⋊M4(2) | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C4 | 24 | 4 | C4.(C3^2:C4) | 144,131 |
| C4.2(C32⋊C4) = C32⋊2C16 | central extension (φ=1) | 48 | 4 | C4.2(C3^2:C4) | 144,51 |
| C4.3(C32⋊C4) = C3⋊S3⋊3C8 | central extension (φ=1) | 24 | 4 | C4.3(C3^2:C4) | 144,130 |