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C₂×C₂²⋊D₂₅ #87750

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

81 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

106 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(400, 44);