Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×#108×C71 ⋊ C2 |
| Sylow | C71 ⋊ #2957 |
452 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=f,c^2=f,e^2=g,f^2=g,b^a=be,d^a=dg,e^a=eg,e^b=eg,h^b=h^70,d^c=dg,h^c=h^701024 conjugacy classes — view the full character table.
| maximal subgroup of | #31913588, #31913592, #31913595, … |
| maximal normal subgroup of | #31913588, #31913592, #31913595, … |
| maximal quotient of | #31966909, #31966916, #31966925, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13426);