Finite Group DatabasebetaFinite Group Databasebeta| order | 8829 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C109 ⋊ #733 |
26 conjugacy classes of subgroups.
Polycyclic presentation:
3^4,109|a^3=d,b^3=d^2,b^a=bc,c^a=cd,e^b=e^63413 conjugacy classes — view the full character table.
| maximal subgroup of | #733×C109⋊C3, C3×#22579504, #40996899, … |
| maximal normal subgroup of | #733×C109⋊C3, C3×#22579504, #40996899, … |
| maximal quotient of | #40996717, #40996718, #40996720, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8829, 36);