Finite Group DatabasebetaFinite Group Databasebeta| order | 8829 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | 3−1+2×C109 ⋊ C3 |
| Sylow | C109 ⋊ #731 |
28 conjugacy classes of subgroups.
Polycyclic presentation:
3^4,109|b^3=d,b^a=bc,c^a=cd,e^a=e^45,e^b=e^63413 conjugacy classes — view the full character table.
| maximal subgroup of | #731×C109⋊C3, C3×#22579501, #40996899, … |
| maximal normal subgroup of | #731×C109⋊C3, C3×#22579501, #40996899, … |
| maximal quotient of | #40996714, #40996717, #40996718, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8829, 33);