Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14556152 |
| Fitting | C4×D8×C71 ⋊ C2 |
| Sylow | C71 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
1024 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#14556152, #31966869, #31966883, … |
| maximal normal subgroup of | C8×#14556152, #31966869, #31966883, … |
| maximal quotient of | C8×#14556152, #31967030, #31967052, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13313);