Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#16840645 |
| Fitting | C2×M16×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
344 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16840645, #30602343, #30602398, … |
| maximal normal subgroup of | C4×#16840645, #30602343, #30602398, … |
| maximal quotient of | C2×#21460658, #30596279, #30596282, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20221);