Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#91292 |
| Hall | C3×C5 ⋊ C22×M16 |
| Sylow | C5 ⋊ C2×D3×M16 |
| Sylow | C3 ⋊ C2×D5×M16 |
596 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | #14294395, #14294424, #14294452, … |
| maximal normal subgroup of | #14294395, #14294424, #14294452, … |
| maximal quotient of | C2×#11746983, C4×#91292, C2×#11748328, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8324);