Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×D4×D15 |
| Fitting | C3×C4×C5×D4 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C4×D4 |
| Sylow | C5 ⋊ C4×D3×D4 |
| Sylow | C3 ⋊ C4×D4×D5 |
852 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | D15×D4⋊C8, #14281490, #14281682, … |
| maximal normal subgroup of | D15×D4⋊C8, #14281490, #14281682, … |
| maximal quotient of | C4×C22⋊C4×D15, C4×C4⋊C4×D15, C4×#91770, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10498);