Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#16839534 |
| Sylow | C61 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
1244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #344×Dic61, C4×#16839534, #29585225, … |
| maximal normal subgroup of | #344×Dic61, C4×#16839534, #29585225, … |
| maximal quotient of | C2×#21443663, #29569643, #29569646, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4253);