Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×Q8⋊#92420 |
| Sylow | C61 ⋊ C2×Q8⋊C8 |
280 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 114 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
356 conjugacy classes — view the full character table.
| maximal subgroup of | C4×Q8⋊#92420, #30597552, #30597558, … |
| maximal normal subgroup of | C4×Q8⋊#92420, #30597552, #30597558, … |
| maximal quotient of | C2×#21460637, C2×#21460639, #30595338, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19798);