Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C71 ⋊ #3125 |
384 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=g,b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^70,d^b=dg,f^c=fg,h^d=h^70697 conjugacy classes — view the full character table.
| maximal subgroup of | #3125×D71, C2×#22598618, #32865812, … |
| maximal normal subgroup of | #3125×D71, C2×#22598618, #32865812, … |
| maximal quotient of | #31997555, #32000544, #32000563, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14788);