Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C23 |
| direct product | C3×D5×D16 |
| Fitting | C3×C5×D16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×D16 |
| Sylow | C5 ⋊ C2×C3×D16 |
196 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 66 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 | C3×#10598678, #14279571, C3×#10598681, … |
| maximal normal subgroup of | C3×#10598678, #14279571, C3×#10598681, … |
| maximal quotient of | C3×D5×#357, C3×D5×#366, C3×#10599967, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4002);