Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×AGL(1,ℤ/8)×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3006 |
806 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|d^2=g,e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,e^b=eg,h^c=h^70802 conjugacy classes — view the full character table.
| maximal subgroup of | #32034712, #32034716, #32034745, … |
| maximal normal subgroup of | #32034712, #32034716, #32034745, … |
| maximal quotient of | #31969843, #31969882, #31969921, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13758);