Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#16840644 |
| Fitting | C22×C8×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
524 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16840644, #30602336, #30602341, … |
| maximal normal subgroup of | C4×#16840644, #30602336, #30602341, … |
| maximal quotient of | C2×#21460659, #30596280, #30596284, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20219);