Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #6715 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#91839 |
| Fitting | C2×C3×C5×#41 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#135 |
| Sylow | C5 ⋊ C2×#950 |
| Sylow | C3 ⋊ C2×#4096 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | #14300768, #14300771, #14300777, … |
| maximal normal subgroup of | #14300768, #14300771, #14300777, … |
| maximal quotient of | C2×#11751103, C2×#11751334, C2×#11751099, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10775);