Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#16839530 |
| Sylow | C61 ⋊ C2×#343 |
432 conjugacy classes of subgroups.
1244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #343×Dic61, C4×#16839530, #29585279, … |
| maximal normal subgroup of | #343×Dic61, C4×#16839530, #29585279, … |
| maximal quotient of | C2×#21443661, #29569609, #29569612, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4245);