Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#91796 |
| Fitting | C2×C3×C5×M16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#131 |
| Sylow | C5 ⋊ C2×#907 |
| Sylow | C3 ⋊ C2×#4053 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | #14295501, #14295525, #14295900, … |
| maximal normal subgroup of | #14295501, #14295525, #14295900, … |
| maximal quotient of | C2×#11750809, C2×#11751223, C4×#91796, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10698);