Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C5 · Schur multiplier (H2) = C25 |
| direct product | C5×Dic3×#41 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C3 ⋊ C4×C5×#41 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×Dic3×#104, Dic3×#3969, C5×#70354, … |
| maximal normal subgroup of | C5×Dic3×#104, Dic3×#3969, C5×#70354, … |
| maximal quotient of | C5×Dic3×#117, C4×C5×D4×Dic3, C4×C5×Q8×Dic3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10406);