Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C71 ⋊ #1369 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=d,b^2=c,c^2=e,d^2=f,e^2=g,f^2=g,b^a=bc,c^a=ce,e^a=eg,d^b=dg,h^b=h^701012 conjugacy classes — view the full character table.
| maximal subgroup of | #1369×D71, C2×#22586407, #31909015, … |
| maximal normal subgroup of | #1369×D71, C2×#22586407, #31909015, … |
| maximal quotient of | #31884189, #31884337, C2×#22586407 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 2577);