Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C43×C32⋊C9 ⋊ C3 |
| Sylow | C43 ⋊ C9⋊H(3,𝔽3) |
166 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|b^3=d,b^a=bd,c^a=ce,f^a=f^36,f^b=f^6513 conjugacy classes — view the full character table.
| maximal subgroup of | #44532539, #44532542, #44532545, … |
| maximal normal subgroup of | #44532539, #44532542, #44532545, … |
| maximal quotient of | #44532248, #44532271, #44532276, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 189);