Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#6779 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C5 ⋊ C4×#237 |
| Sylow | C3 ⋊ C4×#709 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | #14418909, C8×#6779, #14419001, … |
| maximal normal subgroup of | #14418909, C8×#6779, #14419001, … |
| maximal quotient of | C4×#91529, C4×#91393, C4×#91403, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8478);