Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C43 ⋊ #6883 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=e^2,b^3=d^2,c^3=e^2,b^a=bc,c^a=cd,d^a=de,f^a=f^36,c^b=ce,f^b=f^6257 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×#6883, C3×#23782769, #44534525, … |
| maximal normal subgroup of | C43⋊C3×#6883, C3×#23782769, #44534525, … |
| maximal quotient of | #44532000, #44532009, #44532041, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 153);