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Dic₁₂₅₁ #19097475

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

18 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2,3,139,2,3|a^2=d,b^3=e^2,b^a=b^2e,c^a=c^138,e^a=e^2

Conjugacy classes & character table

1254 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5004, 6);