Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #468×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3317 |
392 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=eg,c^2=g,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^b=de,f^c=fg,h^c=h^70,h^d=h^70589 conjugacy classes — view the full character table.
| maximal subgroup of | #3317×D71, C2×#22600461, #32874215, … |
| maximal normal subgroup of | #3317×D71, C2×#22600461, #32874215, … |
| maximal quotient of | #32012972, #32013810, #32014537, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 16631);