Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C4×C22⋊#6923 |
| Fitting | C23×C4×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
560 conjugacy classes — view the full character table.
| maximal subgroup of | #30596240, #30596252, C2×#21460660, … |
| maximal normal subgroup of | #30596240, #30596252, C2×#21460660, … |
| maximal quotient of | C2×C4×(C2×#6923)⋊C4, C42×C22⋊#6923, C2×#21460993, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20938);