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D32⋊D9 #10620025
Aliases
Splittings
Subgroups
94 conjugacy classes of subgroups.
Full subgroup data →
Presentation
Polycyclic presentation:
2^3,3^4|f^3=g,b^a=bc,d^a=d^2,e^a=d^2e,f^a=f^2g^2,g^a=g^2,d^b=d^2e^2,d^c=d^2,e^c=e^2
Conjugacy classes & character table
45 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | D9×GO+(4,𝔽2), C2×D32⋊D9, D32⋊D27, … |
| maximal normal subgroup of | D9×GO+(4,𝔽2), C2×D32⋊D9, C3×D32⋊D9, … |
| maximal quotient of | #13048246, #13048247, #13048248, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(648, 544);
Finite Group Databasebeta