Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#17985736 |
| Sylow | C71 ⋊ C2×#328 |
336 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1018 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#17985736, #328×Dic71, #31888341, … |
| maximal normal subgroup of | C4×#17985736, #328×Dic71, #31888341, … |
| maximal quotient of | C2×#22586163, C2×#22586166, #31885416, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 2991);