d | ρ | Label | ID | ||
---|---|---|---|---|---|
C32×C8⋊C4 | 288 | C3^2xC8:C4 | 288,315 |
extension | φ:Q→Aut N | d | ρ | Label | ID |
---|---|---|---|---|---|
C32⋊1(C8⋊C4) = (C3×C24)⋊C4 | φ: C8⋊C4/C8 → C4 ⊆ Aut C32 | 48 | 4 | C3^2:1(C8:C4) | 288,415 |
C32⋊2(C8⋊C4) = C32⋊2C8⋊C4 | φ: C8⋊C4/C2×C4 → C4 ⊆ Aut C32 | 96 | C3^2:2(C8:C4) | 288,425 | |
C32⋊3(C8⋊C4) = C3⋊C8⋊Dic3 | φ: C8⋊C4/C2×C4 → C22 ⊆ Aut C32 | 96 | C3^2:3(C8:C4) | 288,202 | |
C32⋊4(C8⋊C4) = C2.Dic32 | φ: C8⋊C4/C2×C4 → C22 ⊆ Aut C32 | 96 | C3^2:4(C8:C4) | 288,203 | |
C32⋊5(C8⋊C4) = C3×C42.S3 | φ: C8⋊C4/C42 → C2 ⊆ Aut C32 | 96 | C3^2:5(C8:C4) | 288,237 | |
C32⋊6(C8⋊C4) = C122.C2 | φ: C8⋊C4/C42 → C2 ⊆ Aut C32 | 288 | C3^2:6(C8:C4) | 288,278 | |
C32⋊7(C8⋊C4) = C3×C24⋊C4 | φ: C8⋊C4/C2×C8 → C2 ⊆ Aut C32 | 96 | C3^2:7(C8:C4) | 288,249 | |
C32⋊8(C8⋊C4) = C24⋊Dic3 | φ: C8⋊C4/C2×C8 → C2 ⊆ Aut C32 | 288 | C3^2:8(C8:C4) | 288,290 |