Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×#135×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3045 |
504 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^b=h^70,f^c=fg1012 conjugacy classes — view the full character table.
| maximal subgroup of | #32035493, #32035498, #32035508, … |
| maximal normal subgroup of | #32035493, #32035498, #32035508, … |
| maximal quotient of | #31982842, #31982853, #31982864, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14047);