| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | #485×D61 |
| Fitting | C61×#485 ⋊ C2 |
| Sylow | C61 ⋊ C2×#485 |
416 conjugacy classes of subgroups.
608 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#485×D61, D61×#3091, D61×#3093, … |
| maximal normal subgroup of | C2×#485×D61, D61×#3091, D61×#3093, … |
| maximal quotient of | D61×#1825, D61×#1854, D61×#1873, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14398);