Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#91476 |
| Fitting | C22×C3×C4×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#120 |
| Sylow | C5 ⋊ C2×#882 |
| Sylow | C3 ⋊ C2×#4028 |
1324 conjugacy classes of subgroups; only the 200 normal subgroups are shown.
This group has 1324 conjugacy classes of subgroups — too many to draw. Only its 200 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | #14302080, C4×#91476, #14321393, … |
| maximal normal subgroup of | #14302080, C4×#91476, #14321393, … |
| maximal quotient of | C2×#11748940, C2×#11748903, C2×#11748900, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8838);