Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #340×C71 ⋊ C2 |
| Sylow | C71 ⋊ #1808 |
336 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,71|a^2=f,b^2=dg,d^2=g,b^a=bd,c^a=ce,d^a=dg,h^b=h^70,h^c=h^701024 conjugacy classes — view the full character table.
| maximal subgroup of | #31908522, #31908526, #31908538, … |
| maximal normal subgroup of | #31908522, #31908526, #31908538, … |
| maximal quotient of | #31890290, #31890303, #31890349, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4538);