Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5 · Schur multiplier (H2) = C2 |
| direct product | C5×#5403 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
100 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#73041, C5×#73042, C5×#73138, … |
| maximal normal subgroup of | C5×#73041, C5×#73042, C5×#73138, … |
| maximal quotient of | C5×#73011, C5×#73013, C5×#73015, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6269);