Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | SD16×#92420 |
| Sylow | C61 ⋊ C8×SD16 |
180 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 74 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
266 conjugacy classes — view the full character table.
| maximal subgroup of | C2×SD16×#92420, SD16×D61⋊C8, #135×#92420, … |
| maximal normal subgroup of | C2×SD16×#92420, SD16×D61⋊C8, #135×#92420, … |
| maximal quotient of | #102×#92420, #103×#92420, #106×#92420, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20092);