Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×C22⋊D71 |
| Fitting | C22×SD16×C71 ⋊ C2 |
| Sylow | C71 ⋊ D4×SD16 |
546 conjugacy classes of subgroups.
1015 conjugacy classes — view the full character table.
| maximal subgroup of | D4×SD16×D71, C2×SD16×C22⋊D71, #32872741, … |
| maximal normal subgroup of | D4×SD16×D71, C2×SD16×C22⋊D71, #32872741, … |
| maximal quotient of | #31986915, #31986920, #31986930, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 16200);