Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#41×D15 |
| Fitting | C2×C3×C5×#41 ⋊ C2 |
| Hall | C3×C5 ⋊ C22×#41 |
| Sylow | C5 ⋊ C2×D3×#41 |
| Sylow | C3 ⋊ C2×D5×#41 |
1780 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | #14297087, #14297107, D15×#408, … |
| maximal normal subgroup of | #14297087, #14297107, D15×#408, … |
| maximal quotient of | C2×D15×#117, C2×C4×D4×D15, C2×C4×Q8×D15, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11338);