Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16839884 |
| Sylow | C61 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #29595307, #29595309, #29595314, … |
| maximal normal subgroup of | #29595307, #29595309, #29595314, … |
| maximal quotient of | C2×SD16⋊#92418, C2×#21444638, C2×#21444643, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13406);