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C₂×#6107 #88197

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 31 points:

(3,4,6,8,10,12,14,15,13,11,9,7,5)(16,18,20,26)(17,21,23,30)(19,28,29,25)(22,31,27,24);(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(16,17,20,23)(18,24,26,31)(19,27,29,22)(21,28,30,25);(1,2)

Conjugacy classes & character table

74 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(416, 164);