Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C3×Q8×C22⋊D5 |
| Fitting | C22×C3×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ D4×Q8 |
| Sylow | C5 ⋊ C3×D4×Q8 |
560 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
195 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10611935, C3×#10615718, C3×#10615597, … |
| maximal normal subgroup of | C3×#10611935, C3×#10615718, C3×#10615597, … |
| maximal quotient of | C3×Q8×#685, C3×Q8×C22⋊Dic5, C3×C4⋊C4×C22⋊D5, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10021);