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C₂×#4740 #78683

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

788 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

66 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 11259);