Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#137×D61 |
| Fitting | C2×#137×C61 ⋊ C2 |
| Sylow | C61 ⋊ C22×#137 |
1464 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1882, #29681533, D61×#1902, … |
| maximal normal subgroup of | D61×#1882, #29681533, D61×#1902, … |
| maximal quotient of | C2×#419×D61, C2×#417×D61, C2×#428×D61, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19246);