Finite Group DatabasebetaFinite Group Databasebeta| order | 1053 |
| isoclinism | isoclinic class of #66848 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32 |
| direct product | C3×#66851 |
| Sylow | C13 ⋊ C3×3−1+2 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 351 |
141 conjugacy classes — view the full character table.
| maximal subgroup of | #15691462, #15691463, #15691464, … |
| maximal normal subgroup of | #15691462, #15691463, #15691464, … |
| maximal quotient of | C3×C32⋊(C13⋊C9), C3×(C13⋊C9)⋊C9, C9×#66851, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1053, 45);