Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C71 ⋊ #2254 |
128 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=d,b^2=d,c^2=efg,e^2=fg,f^2=g,b^a=bd,c^a=ce,e^a=ef,f^a=fg,h^b=h^70808 conjugacy classes — view the full character table.
| maximal subgroup of | #31918371, #31918372, #2254×D71, … |
| maximal normal subgroup of | #31918371, #31918372, #2254×D71, … |
| maximal quotient of | #31913887, #31915485, #31915486, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6791);