Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D4×Dic30 |
| Hall | C3×C5 ⋊ D4×Q8 |
| Sylow | C5 ⋊ D4×Dic6 |
| Sylow | C3 ⋊ D4×Dic10 |
560 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
165 conjugacy classes — view the full character table.
| maximal subgroup of | #14289219, #14289231, #14289263, … |
| maximal normal subgroup of | #14289219, #14289231, #14289263, … |
| maximal quotient of | C22⋊C4×Dic30, D4×#6712, D4×C4⋊Dic15, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10491);