Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#6780 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C5 ⋊ C4×#237 |
| Sylow | C3 ⋊ C4×#711 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | #14418908, C8×#6780, #14419000, … |
| maximal normal subgroup of | #14418908, C8×#6780, #14419000, … |
| maximal quotient of | C4×#91532, C4×#91400, C4×#91394, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8480);