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C₂×#1946 #21162

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

Aliases

Subgroups

467 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 22 points:

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

Conjugacy classes & character table

64 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 14150);