Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C43 ⋊ #6875 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=d,b^3=c,c^3=e,b^a=bc,c^a=ce,f^a=f^36,d^b=de^2497 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×#6875, C3×#23782736, #44533481, … |
| maximal normal subgroup of | C43⋊C3×#6875, C3×#23782736, #44533481, … |
| maximal quotient of | #44531935, #44531962, C3×#23782736 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 120);