Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | #101×Dic71 |
| Sylow | C71 ⋊ C4×#101 |
296 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 119 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
814 conjugacy classes — view the full character table.
| maximal subgroup of | #31912629, #355×Dic71, #31912633, … |
| maximal normal subgroup of | #31912629, #355×Dic71, #31912633, … |
| maximal quotient of | #324×Dic71, #31887968, #31887972, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4308);