Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16839602 |
| Sylow | C61 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
698 conjugacy classes — view the full character table.
| maximal subgroup of | #29600596, C4×#16839602, #29600608, … |
| maximal normal subgroup of | #29600596, C4×#16839602, #29600608, … |
| maximal quotient of | C2×#21443999, C2×#21444000, C2×#21444018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6814);