Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#91929 |
| Hall | C3×C5 ⋊ C2×#131 |
| Sylow | C5 ⋊ C2×#907 |
| Sylow | C3 ⋊ C2×#4131 |
532 conjugacy classes of subgroups; only the 178 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 178 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
78 conjugacy classes — view the full character table.
| maximal subgroup of | #14295556, C4×#91929, #14411507, … |
| maximal normal subgroup of | #14295556, C4×#91929, #14411507, … |
| maximal quotient of | C2×#11751870, C2×#11751874, C2×#11751995, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11057);