Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#16840684 |
| Sylow | C61 ⋊ C2×#364 |
168 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 90 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
536 conjugacy classes — view the full character table.
| maximal subgroup of | #30594245, #30594246, #30594248, … |
| maximal normal subgroup of | #30594245, #30594246, #30594248, … |
| maximal quotient of | C2×#21460841, #30605744, C2×#21460848, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20848);