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C₂×#824 #5136

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 21 points:

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

Conjugacy classes & character table

42 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(192, 695);