Finite Group Databasebeta

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C₄₃⋊#7050 #24983209

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

332 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=d,b^2=e,c^2=fh,d^2=h,e^2=fgh,b^a=bc,c^a=cf,e^a=efgh,c^b=cg,d^b=dh,i^b=i^42

Conjugacy classes & character table

1228 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 56180);