Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #481×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3092 |
458 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,71|c^2=e,f^2=g,b^a=be,c^a=cf,d^a=dg,f^a=fg,h^b=h^70,f^c=fg,h^d=h^70697 conjugacy classes — view the full character table.
| maximal subgroup of | #31969889, #31969891, #31969967, … |
| maximal normal subgroup of | #31969889, #31969891, #31969967, … |
| maximal quotient of | #31997250, #31998186, #31998678, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14432);