Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14556160 |
| Fitting | C4×Q16×C71 ⋊ C2 |
| Sylow | C71 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
1024 conjugacy classes — view the full character table.
| maximal subgroup of | #31966874, C8×#14556160, #31966896, … |
| maximal normal subgroup of | #31966874, C8×#14556160, #31966896, … |
| maximal quotient of | C8×#14556160, #31967047, #31967067, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13330);