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C₂×#1878 #20922

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

Aliases

Subgroups

911 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 26 points:

(1,2);(4,6)(7,8)(9,10)(11,12,15,17,16,20,14,19)(13,21,23,18,24,25,22,26);(3,4,5,6)(12,17)(14,15)(18,21)(19,20)(22,23)(25,26);(8,10)(11,13,16,24)(12,18,20,26)(14,23,15,22)(17,21,19,25)

Conjugacy classes & character table

76 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 13910);