Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16839744 |
| Fitting | C22×M16×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
1244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29585349, #29585352, #29585359, … |
| maximal normal subgroup of | #29585349, #29585352, #29585359, … |
| maximal quotient of | C2×#21444131, C2×#21444135, #29645824, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 12983);