Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #135×Dic71 |
| Sylow | C71 ⋊ C4×#135 |
500 conjugacy classes of subgroups; only the 225 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 225 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1036 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #359×Dic71, #31912683, #360×Dic71, … |
| maximal normal subgroup of | #359×Dic71, #31912683, #360×Dic71, … |
| maximal quotient of | #135×C71⋊C8, #31966984, #31967202, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13283);