Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#17985763 |
| Sylow | C71 ⋊ C2×#341 |
392 conjugacy classes of subgroups.
1456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #341×Dic71, C4×#17985763, #31902640, … |
| maximal normal subgroup of | #341×Dic71, C4×#17985763, #31902640, … |
| maximal quotient of | C2×#22586174, #31886910, #31886917, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4233);