Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#16839526 |
| Sylow | C61 ⋊ C2×#341 |
392 conjugacy classes of subgroups.
1256 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #341×Dic61, C4×#16839526, #29585201, … |
| maximal normal subgroup of | #341×Dic61, C4×#16839526, #29585201, … |
| maximal quotient of | C2×#21443653, #29569471, #29569478, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4233);