Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C5 · Schur multiplier (H2) = C25 |
| direct product | C2×C5×#907 |
| Fitting | C2×C3×C5×M16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#131 |
| Sylow | C3 ⋊ C2×C5×#131 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#69014, #14295526, C5×#68739, … |
| maximal normal subgroup of | C5×#69014, #14295526, C5×#68739, … |
| maximal quotient of | C2×C5×#4708, C2×C5×#5122, C4×C5×#907, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10324);