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C₂×C₃²×Dic₆ #89053

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

292 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 19 points:

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

Conjugacy classes & character table

162 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 700);