Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16839569 |
| Sylow | C61 ⋊ C2×#359 |
224 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 93 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 | C4×#16839569, #359×Dic61, #29595242, … |
| maximal normal subgroup of | C4×#16839569, #359×Dic61, #29595242, … |
| maximal quotient of | C2×#21443780, C2×#21443783, #29589753, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 6234);