Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#14519720 |
| Fitting | C4×Q16×C61 ⋊ C2 |
| Sylow | C61 ⋊ C4×SD32 |
162 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 65 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #29591737, C8×#14519720, #29591750, … |
| maximal normal subgroup of | #29591737, C8×#14519720, #29591750, … |
| maximal quotient of | C8×#14519720, #29591913, #29591922, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6362);