Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C8 · Schur multiplier (H2) = C22 |
| direct product | C5×Q8×C3⋊C8 |
| Hall | C3×C5 ⋊ C8×Q8 |
| Sylow | C3 ⋊ C5×C8×Q8 |
204 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#68212, C5×SD16×C3⋊C8, #14286159, … |
| maximal normal subgroup of | C5×#68212, C5×SD16×C3⋊C8, #14286159, … |
| maximal quotient of | C5×C4⋊C4×C3⋊C8, C5×#69482, C5×#69484, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4717);