Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#17985748 |
| Sylow | C71 ⋊ C2×#333 |
256 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 125 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 | #31885208, #31885209, C4×#17985748, … |
| maximal normal subgroup of | #31885208, #31885209, C4×#17985748, … |
| maximal quotient of | C2×#22586166, #31885434, #31885741, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 3163);