Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C3×C9 |
No aliases for this group.
| Fitting | C9×C27×C31 ⋊ C3 |
| Sylow | C31 ⋊ #10624681 |
290 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 157 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 7533 |
Polycyclic presentation:
3^6,31|a^3=d,b^3=e,d^3=f,c^b=cf,g^c=g^252727 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 1973);