Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #467×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3336 |
342 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 115 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=e,b^2=g,c^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=de,f^c=fg,h^c=h^70,h^d=h^70805 conjugacy classes — view the full character table.
| maximal subgroup of | #32154290, #32154292, #32154342, … |
| maximal normal subgroup of | #32154290, #32154292, #32154342, … |
| maximal quotient of | #32013672, #32015095, #32015114, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 16873);