Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16839601 |
| Fitting | C2×C32×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
1958 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29600591, C4×#16839601, #29600603, … |
| maximal normal subgroup of | #29600591, C4×#16839601, #29600603, … |
| maximal quotient of | C2×#21443998, C2×#21444001, C2×#21444021, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6812);