Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C71 ⋊ #1735 |
424 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=e,b^2=f,c^2=g,d^2=g,f^2=g,b^a=bd,d^a=dg,f^a=fg,h^b=h^701456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31902643, #31902644, #31902648, … |
| maximal normal subgroup of | #31902643, #31902644, #31902648, … |
| maximal quotient of | #31886910, #31886920, #31886931, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4226);