Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#16839933 |
| Fitting | C2×AGL(1,ℤ/8)×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#454 |
728 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 149 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 | C4×#16839933, #29685912, #29685949, … |
| maximal normal subgroup of | C4×#16839933, #29685912, #29685949, … |
| maximal quotient of | C2×#21444745, C2×#21444747, C2×#21444847, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13844);