Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #367×D61 |
| Fitting | C61×#367 ⋊ C2 |
| Sylow | C61 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1418, D61×#1426, C2×#367×D61, … |
| maximal normal subgroup of | D61×#1418, D61×#1426, C2×#367×D61, … |
| maximal quotient of | D61×#1372, #29591656, #29591696, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6288);