Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #427×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3054 |
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,71|b^2=e,d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^70,c^b=cg,h^c=h^701012 conjugacy classes — view the full character table.
| maximal subgroup of | #31914430, #31914486, #31916222, … |
| maximal normal subgroup of | #31914430, #31914486, #31916222, … |
| maximal quotient of | #31979967, #31979995, #31980036, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14120);