Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#16840712 |
| unambiguous semidirect product | D61⋊#388 |
| Fitting | C2×C22⋊C4×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×#388 |
928 conjugacy classes of subgroups.
356 conjugacy classes — view the full character table.
| maximal subgroup of | #30597472, C4×#16840712, #388×#6923, … |
| maximal normal subgroup of | #30597472, C4×#16840712, #388×#6923, … |
| maximal quotient of | C2×#21460994, C2×#21460999, C2×#21461000, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20963);