Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×AGL(1,ℤ/8)×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3275 |
498 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=g,b^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^70,c^b=cg,d^b=de,e^b=eg,e^d=eg799 conjugacy classes — view the full character table.
| maximal subgroup of | #3275×D71, C2×#22599971, #32872627, … |
| maximal normal subgroup of | #3275×D71, C2×#22599971, #32872627, … |
| maximal quotient of | #31988750, #31988841, #31988850, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 16141);