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C₂×#1945 #21161

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

Aliases

Subgroups

487 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

88 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 14149);