Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C71 ⋊ #1848 |
220 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=f,b^2=d,c^2=e,d^2=g,f^2=g,b^a=bd,c^a=ce,d^a=dg,h^a=h^702284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31884628, #31884629, #31884634, … |
| maximal normal subgroup of | #31884628, #31884629, #31884634, … |
| maximal quotient of | #31891190, #31891193, #31891197, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4682);