Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C71 ⋊ #1733 |
404 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=e,b^2=f,d^2=g,b^a=bd,d^a=dg,f^a=fg,c^b=cg,h^b=h^701444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31902768, #31902769, #31902773, … |
| maximal normal subgroup of | #31902768, #31902769, #31902773, … |
| maximal quotient of | #31886890, #31886896, #31886901, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4219);