Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C71 ⋊ #2179 |
144 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=e,c^2=e,d^2=fg,e^2=g,f^2=g,b^a=bd,c^a=cg,d^a=df,f^a=fg,h^a=h^70,d^b=df,f^b=fg,h^c=h^70802 conjugacy classes — view the full character table.
| maximal subgroup of | #31918067, #31918071, #31918074, … |
| maximal normal subgroup of | #31918067, #31918071, #31918074, … |
| maximal quotient of | #31909192, #31909198, #31909203, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6396);