Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#91561 |
| Hall | C3×C5 ⋊ C22×C22⋊C4 |
| Sylow | C5 ⋊ C2×D3×C22⋊C4 |
| Sylow | C3 ⋊ C2×D5×C22⋊C4 |
1348 conjugacy classes of subgroups; only the 272 normal subgroups are shown.
This group has 1348 conjugacy classes of subgroups — too many to draw. Only its 272 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | #14280759, #14280977, #14294696, … |
| maximal normal subgroup of | #14280759, #14280977, #14294696, … |
| maximal quotient of | C2×#11748888, C4×#91561, C2×#11748670, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9598);