Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q32×Dic61 |
| Sylow | C61 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | #29600589, SD64×Dic61, #29600596, … |
| maximal normal subgroup of | #29600589, SD64×Dic61, #29600596, … |
| maximal quotient of | Q32×#92418, #29591930, #29592004, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6369);