Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#91923 |
| unambiguous semidirect product | D5⋊#877 |
| Hall | C3×C5 ⋊ C2×#117 |
| Sylow | C5 ⋊ C2×#877 |
| Sylow | C3 ⋊ C2×#4130 |
660 conjugacy classes of subgroups; only the 194 normal subgroups are shown.
This group has 660 conjugacy classes of subgroups — too many to draw. Only its 194 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
84 conjugacy classes — view the full character table.
| maximal subgroup of | #14294735, #14294738, #14294739, … |
| maximal normal subgroup of | #14294735, #14294738, #14294739, … |
| maximal quotient of | C2×#11751832, C2×Dic3×C22⋊AGL(1,𝔽5), C2×#11751834, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11051);