Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C5×Q8×#67 |
| Fitting | C22×C3×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ D4×Q8 |
| Sylow | C3 ⋊ C5×D4×Q8 |
560 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
225 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#80204, C5×#83987, C5×#83866, … |
| maximal normal subgroup of | C5×#80204, C5×#83987, C5×#83866, … |
| maximal quotient of | C5×Q8×(C2×D3)⋊C4, C5×Q8×#217, C5×C4⋊C4×#67, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10395);