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C₂×#9326 #199424

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1600 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 18 points:

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

Conjugacy classes & character table

98 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 106620);