Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×Dic3×D20 |
| Hall | C3×C5 ⋊ C2×C4×D4 |
| Sylow | C5 ⋊ C2×D4×Dic3 |
| Sylow | C3 ⋊ C2×C4×D20 |
852 conjugacy classes of subgroups; only the 288 normal subgroups are shown.
This group has 852 conjugacy classes of subgroups — too many to draw. Only its 288 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | Dic3×#3999, Dic3×#3955, Dic3×#3953, … |
| maximal normal subgroup of | Dic3×#3999, Dic3×#3955, Dic3×#3953, … |
| maximal quotient of | C2×Dic3×#685, C2×Dic3×C4⋊Dic5, C4×Dic3×D20, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8550);