Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×#137×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3277 |
476 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|b^2=g,d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,c^b=cg,d^b=de,e^b=eg,h^c=h^70,e^d=eg799 conjugacy classes — view the full character table.
| maximal subgroup of | #3277×D71, C2×#22599991, #32872627, … |
| maximal normal subgroup of | #3277×D71, C2×#22599991, #32872627, … |
| maximal quotient of | #31988770, #31988880, #31988886, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 16161);