Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#16839734 |
| Fitting | C2×#99×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | #29594954, #29594962, #29594981, … |
| maximal normal subgroup of | #29594954, #29594962, #29594981, … |
| maximal quotient of | C2×#21444130, C2×#21444132, C2×#21444138, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 12965);