Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D8×C22⋊D61 |
| Fitting | C22×D8×C61 ⋊ C2 |
| Sylow | C61 ⋊ D4×D8 |
620 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 620 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.
875 conjugacy classes — view the full character table.
| maximal subgroup of | #29836465, #29836469, #29836471, … |
| maximal normal subgroup of | #29836465, #29836469, #29836471, … |
| maximal quotient of | #29669356, #29669361, #29669371, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 16181);