Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#16840123 |
| Fitting | C2×#103×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#489 |
436 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
872 conjugacy classes — view the full character table.
| maximal subgroup of | #29688072, C4×#16840123, #29688123, … |
| maximal normal subgroup of | #29688072, C4×#16840123, #29688123, … |
| maximal quotient of | C2×#21445951, C2×#21446506, C2×#21446511, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14840);