Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#17986017 |
| Fitting | C2×#117×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
1444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31902913, #31902915, #31902920, … |
| maximal normal subgroup of | #31902913, #31902915, #31902920, … |
| maximal quotient of | C2×#22586732, C2×#22586736, C2×#22586728, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13053);