Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C25 |
| direct product | C3×#41×Dic5 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C5 ⋊ C3×C4×#41 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10605000, #14281570, C3×#10605001, … |
| maximal normal subgroup of | C3×#10605000, #14281570, C3×#10605001, … |
| maximal quotient of | C3×Dic5×#117, C3×C4×D4×Dic5, C3×C4×Q8×Dic5, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10032);