Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Sylow | C31 ⋊ #10624506 |
242 conjugacy classes of subgroups.
| transitive degree | μt(G) = 837 |
Polycyclic presentation:
3^6,31|a^3=d,b^3=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^5,d^b=df^21047 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 729);