Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×Q32×C71 ⋊ C2 |
| Sylow | C71 ⋊ #2264 |
104 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|b^2=g,d^2=ef,e^2=fg,f^2=g,b^a=bd,c^a=cg,d^a=de,e^a=ef,f^a=fg,h^a=h^70,d^b=de,e^b=ef,f^b=fg796 conjugacy classes — view the full character table.
| maximal subgroup of | #31918068, #31918073, #31918128, … |
| maximal normal subgroup of | #31918068, #31918073, #31918128, … |
| maximal quotient of | #31917889, #31917899, #31917957, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6828);