Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C71 ⋊ #3121 |
370 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|c^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,f^c=fg,h^d=h^70697 conjugacy classes — view the full character table.
| maximal subgroup of | #3121×D71, C2×#22598562, #32865812, … |
| maximal normal subgroup of | #3121×D71, C2×#22598562, #32865812, … |
| maximal quotient of | #31997546, #32000551, #32000570, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14732);