Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C5×D4×Dic6 |
| Hall | C3×C5 ⋊ D4×Q8 |
| Sylow | C3 ⋊ C5×D4×Q8 |
560 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
225 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#71014, C5×#68187, #14289264, … |
| maximal normal subgroup of | C5×#71014, C5×#68187, #14289264, … |
| maximal quotient of | C5×C22⋊C4×Dic6, C5×D4×Dic3⋊C4, C5×D4×C4⋊Dic3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10117);