Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C43×C27⋊C3 ⋊ C3 |
| Sylow | C43 ⋊ #6872 |
52 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=d,d^3=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^36513 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×#6872, C3×#23782726, #44533446, … |
| maximal normal subgroup of | C43⋊C3×#6872, C3×#23782726, #44533446, … |
| maximal quotient of | #44531893, #44531896, #44531899, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 110);