Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×D5×#217 |
| Hall | C3×C5 ⋊ C22×C22⋊C4 |
| Sylow | C5 ⋊ C22×#217 |
| Sylow | C3 ⋊ C2×D5×C22⋊C4 |
1348 conjugacy classes of subgroups; only the 352 normal subgroups are shown.
This group has 1348 conjugacy classes of subgroups — too many to draw. Only its 352 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14279879, #14279880, #14280023, … |
| maximal normal subgroup of | #14279879, #14279880, #14280023, … |
| maximal quotient of | C2×D5×C3⋊#95, C4×D5×#217, C2×#11748702, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9573);