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Aliases
Splittings
Subgroups
95 conjugacy classes of subgroups.
Full subgroup data →
Presentation
Polycyclic presentation:
2^2,3,2^3,3^2|d^2=ef,e^2=f,g^3=h,b^a=bd,d^a=de,e^a=ef,g^a=g^2h^2,h^a=h^2,d^b=de,e^b=ef,g^c=gh
Conjugacy classes & character table
61 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | D16×AGL(1,ℤ/9), #10588591⋊C3, #10588594⋊C3, … |
| maximal normal subgroup of | D16×AGL(1,ℤ/9), #10588591⋊C3, #10588594⋊C3, … |
| maximal quotient of | #10588166⋊C3, #10588168⋊C3, #10588196⋊C3, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(864, 430);
Finite Group Databasebeta