Finite Group Databasebeta

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C₂×#6312 #89082

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

756 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 15 points:

(3,4,5)(13,15);(1,2)(4,5)(7,8)(10,11)(12,13)(14,15);(1,2)(6,7,8);(9,10,11)

Conjugacy classes & character table

114 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 729);