Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16839592 |
| Sylow | C61 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
1964 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29567715, #29567716, #29567717, … |
| maximal normal subgroup of | #29567715, #29567716, #29567717, … |
| maximal quotient of | C2×#21443891, C2×#21443893, #29591598, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6302);