Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#17985837 |
| Sylow | C71 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
808 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#17985837, #31918034, #31918040, … |
| maximal normal subgroup of | C4×#17985837, #31918034, #31918040, … |
| maximal quotient of | C2×#22586518, C2×#22586520, C2×#22586541, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6811);