Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16839758 |
| Sylow | C61 ⋊ C2×#416 |
792 conjugacy classes of subgroups.
1256 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29585514, #29585516, #29585535, … |
| maximal normal subgroup of | #29585514, #29585516, #29585535, … |
| maximal quotient of | C2×#21444201, C2×#21444253, #29646425, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13006);