Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
No aliases for this group.
| Fitting | C3×3−1+2×C43 ⋊ C3 |
| Sylow | C43 ⋊ 3−1+4 |
460 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=e,b^a=be,d^a=de,c^b=ce,f^c=f^36545 conjugacy classes — view the full character table.
| maximal subgroup of | #44533731, #44533733, #44533735, … |
| maximal normal subgroup of | #44533731, #44533733, #44533735, … |
| maximal quotient of | #44534664, #44534666, #44534669, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 307);