Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C9 |
No aliases for this group.
| Fitting | C43×#733 ⋊ C3 |
| Sylow | C43 ⋊ #6881 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|b^3=d^2,c^3=e^2,b^a=bc,c^a=cd,d^a=de,f^a=f^6,c^b=ce,f^b=f^36257 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×#6881, C3×#23782758, #44534526, … |
| maximal normal subgroup of | C43⋊C3×#6881, C3×#23782758, #44534526, … |
| maximal quotient of | #44531996, #44531997, #44532039, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 142);