Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16840559 |
| Fitting | C2×#135×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #29595687, #29595690, #29595692, … |
| maximal normal subgroup of | #29595687, #29595690, #29595692, … |
| maximal quotient of | C2×#21454334, C2×#21454407, C2×#21454615, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19254);