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(C₂×D₃)⋊#95 #69425

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

1088 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Polycyclic presentation:

2^7,3|a^2=f,b^2=g,b^a=bd,c^a=ce,h^c=h^2

Conjugacy classes & character table

96 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 2001);