Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C71 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=e,b^2=g,c^2=eg,d^2=fg,f^2=g,b^a=bd,d^a=df,f^a=fg,d^b=df,f^b=fg,h^b=h^70,h^c=h^70814 conjugacy classes — view the full character table.
| maximal subgroup of | #31918030, #31918034, #31918035, … |
| maximal normal subgroup of | #31918030, #31918034, #31918035, … |
| maximal quotient of | #31909185, #31909367, #31909442, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6368);