Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#17985819 |
| Sylow | C71 ⋊ C2×#364 |
168 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31912769, C4×#17985819, #31912773, … |
| maximal normal subgroup of | #31912769, C4×#17985819, #31912773, … |
| maximal quotient of | C2×#22586403, #31908996, C2×#22586409, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6272);