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C₂×#919 #5765

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 21 points:

(1,2)(3,4,5)(6,8,10,14)(7,12,11,20)(9,18,19,16)(13,21,17,15);(1,2)(6,7,10,11)(8,15,14,21)(9,17,19,13)(12,18,20,16);(4,5)(7,11)(8,14)(13,17)(16,18);(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, 1324);