Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #467×D61 |
| Fitting | C61×#467 ⋊ C2 |
| Sylow | C61 ⋊ C2×#467 |
512 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1348, #29590252, D61×#1350, … |
| maximal normal subgroup of | D61×#1348, #29590252, D61×#1350, … |
| maximal quotient of | D61×#1669, D61×#1675, D61×#1683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14080);