Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C27 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C43 ⋊ C81⋊C3 |
32 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=c,c^3=d,d^3=e,b^a=be,f^a=f^361233 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44532089, #44532090, #44532091, … |
| maximal normal subgroup of | #44532089, #44532090, #44532091, … |
| maximal quotient of | #44532088, C32⋊(C43⋊C81), #44532198, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 128);