Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | #354×D61 |
| Fitting | C61×#354 ⋊ C2 |
| Sylow | C61 ⋊ C2×#354 |
284 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 57 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
416 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1404, #29600266, D61×#1406, … |
| maximal normal subgroup of | D61×#1404, #29600266, D61×#1406, … |
| maximal quotient of | D61×#1319, D61×#1324, #29589288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6169);