Finite Group DatabasebetaFinite Group Databasebeta| order | 8829 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | C3×C9×C109 ⋊ C3 |
| Sylow | C109 ⋊ #732 |
32 conjugacy classes of subgroups.
Polycyclic presentation:
3^4,109|b^3=d^2,b^a=bc,c^a=cd,e^a=e^63989 conjugacy classes — view the full character table.
| maximal subgroup of | #40996772, #40996773, #40996774, … |
| maximal normal subgroup of | #40996772, #40996773, #40996774, … |
| maximal quotient of | #40996713, #40996722, #40996726, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8829, 35);