Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C3×H(3,𝔽3)×C43 ⋊ C3 |
| Sylow | C43 ⋊ #6911 |
160 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|b^3=e^2,b^a=bd,d^a=de,c^b=ce,f^b=f^36497 conjugacy classes — view the full character table.
| maximal subgroup of | #44533719, #44533720, #44533721, … |
| maximal normal subgroup of | #44533719, #44533720, #44533721, … |
| maximal quotient of | #44532472, #44532473, #44532516, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 275);