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Dic₁₄₇₂ #19212124

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

42 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,23|a^2=h,b^2=h,c^2=de,d^2=ef,e^2=fg,f^2=gh,g^2=h,b^a=bc,c^a=cd,d^a=de,e^a=ef,f^a=fg,g^a=gh,i^a=i^22,c^b=cd,d^b=de,e^b=ef,f^b=fg,g^b=gh,i^b=i^22

Conjugacy classes & character table

1475 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5888, 57486);