Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C71 ⋊ #3098 |
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,f^c=fg,h^c=h^70802 conjugacy classes — view the full character table.
| maximal subgroup of | #32041665, #32041668, #32041710, … |
| maximal normal subgroup of | #32041665, #32041668, #32041710, … |
| maximal quotient of | #31997266, #31998206, #31998729, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14484);