Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16840691 |
| Sylow | C61 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
524 conjugacy classes — view the full character table.
| maximal subgroup of | #30595107, #30595111, #30595116, … |
| maximal normal subgroup of | #30595107, #30595111, #30595116, … |
| maximal quotient of | C2×#21460851, C2×#21460852, #30605785, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20865);