Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C71 ⋊ #1425 |
50 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=d,b^2=ce,c^2=ef,d^2=g,e^2=fg,f^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,h^b=h^70808 conjugacy classes — view the full character table.
| maximal subgroup of | #1425×D71, C2×#22586543, #31917964, … |
| maximal normal subgroup of | #1425×D71, C2×#22586543, #31917964, … |
| maximal quotient of | #31885128, #31885130, #31885154, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 2713);