Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#91575 |
| Hall | C3×C5 ⋊ C2×C22⋊Q8 |
| Sylow | C5 ⋊ C2×#878 |
| Sylow | C3 ⋊ C2×#4070 |
644 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14307494, #14307497, #14321811, … |
| maximal normal subgroup of | #14307494, #14307497, #14321811, … |
| maximal quotient of | C2×#11749513, C2×#11749512, C2×#11749511, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9625);