Finite Group Databasebeta

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SL(2,𝔽₃)⋊(C₂²⋊C₉) #11722282

• solvable

Aliases

Splittings

Subgroups

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

3^3,2^5|b^3=c,d^2=h,e^2=h,f^2=h,g^2=h,f^a=fg,g^a=f,d^b=de,e^b=d,e^d=eh,g^f=gh

Conjugacy classes & character table

75 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(864, 2249);