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C₂×#6233 #88750

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

270 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 18 points:

(3,4,5)(7,9);(1,2)(4,5)(6,7)(8,9)(11,13)(12,16)(14,15)(17,18);(1,2)(10,15,17,16,11,13,12,18,14)

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, 397);