Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#17985741 |
| Sylow | C71 ⋊ C2×#330 |
232 conjugacy classes of subgroups.
1018 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#17985741, #330×Dic71, #31888378, … |
| maximal normal subgroup of | C4×#17985741, #330×Dic71, #31888378, … |
| maximal quotient of | C2×#22586163, #31885424, #31885678, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 3094);