Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#16840199 |
| Fitting | C2×SD32×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#509 |
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
692 conjugacy classes — view the full character table.
| maximal subgroup of | #29833328, C4×#16840199, #29833350, … |
| maximal normal subgroup of | #29833328, C4×#16840199, #29833350, … |
| maximal quotient of | C2×#21447533, C2×#21447530, C2×#21447606, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 17634);