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SD₁₆⋊(C₇₁⋊C₁₆) #31909264

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,71|a^2=e,c^2=e,d^2=f,e^2=g,g^2=h,b^a=bd,c^a=cf,d^a=df,i^a=i^70,d^b=df,i^c=i^70

Conjugacy classes & character table

2048 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 81380);