Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×D61⋊#99 |
| unambiguous semidirect product | D61⋊(C2×#99) |
| Fitting | C22×D4×C61 ⋊ C4 |
| Sylow | C61 ⋊ C22×#99 |
1112 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 1112 conjugacy classes of subgroups — too many to draw. Only its 210 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
344 conjugacy classes — view the full character table.
| maximal subgroup of | #30602454, #30602455, #30602484, … |
| maximal normal subgroup of | #30602454, #30602455, #30602484, … |
| maximal quotient of | C2×D61⋊#323, C2×D61⋊#324, D61⋊#1459, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 21103);