Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16839778 |
| Fitting | C22×M16×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
1244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29585478, #29585480, #29585483, … |
| maximal normal subgroup of | #29585478, #29585480, #29585483, … |
| maximal quotient of | C2×#21444209, C2×#21444213, C2×#21444204, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13051);