Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#16840772 |
| unambiguous semidirect product | D61⋊#427 |
| Fitting | C22×C8×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
536 conjugacy classes — view the full character table.
| maximal subgroup of | #30602800, #30602801, #30602804, … |
| maximal normal subgroup of | #30602800, #30602801, #30602804, … |
| maximal quotient of | C2×#21461366, D61⋊#1564, C2×#21461367, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 21161);