Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #67×Dic10 |
| Hall | C3×C5 ⋊ D4×Q8 |
| Sylow | C5 ⋊ Q8×#67 |
| Sylow | C3 ⋊ D4×Dic10 |
560 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
117 conjugacy classes — view the full character table.
| maximal subgroup of | #14453753, #14453767, #14453780, … |
| maximal normal subgroup of | #14453753, #14453767, #14453780, … |
| maximal quotient of | Dic10×(C2×D3)⋊C4, Dic10×#217, #67×#683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8513);