Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C43 ⋊ #6880 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=e,b^3=d^2e,c^3=e^2,b^a=bc,c^a=cd,d^a=de,f^a=f^361169 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44532211, #44532212, #44532213, … |
| maximal normal subgroup of | #44532211, #44532212, #44532213, … |
| maximal quotient of | #44532007, #44532054, #44532073, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 138);