Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #468×D61 |
| Fitting | C61×#468 ⋊ C2 |
| Sylow | C61 ⋊ C2×#468 |
544 conjugacy classes of subgroups.
512 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#468×D61, D61×#3054, D61×#3055, … |
| maximal normal subgroup of | C2×#468×D61, D61×#3054, D61×#3055, … |
| maximal quotient of | D61×#1685, D61×#1691, D61×#1697, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14094);