Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #417×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,h^a=h^70,e^b=eg,h^c=h^70802 conjugacy classes — view the full character table.
| maximal subgroup of | #32034714, #32034718, #32034747, … |
| maximal normal subgroup of | #32034714, #32034718, #32034747, … |
| maximal quotient of | #31969848, #31969887, #31969926, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13763);