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C₂×C₇⋊C₃₂ #89293

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

34 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 41 points:

(1,2)(4,5)(6,7)(8,9)(10,11,12,16,13,17,20,26,14,18,21,27,23,29,32,36,15,19,22,28,24,30,33,37,25,31,34,38,35,39,40,41);(1,2)(3,4,6,8,9,7,5)

Conjugacy classes & character table

160 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 55);