Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14519796 |
| Fitting | C4×D8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #29589750, #29589755, #29589776, … |
| maximal normal subgroup of | #29589750, #29589755, #29589776, … |
| maximal quotient of | C8×#14519796, #29649537, #29649757, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13277);