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(C₂²⋊C₂₄₃)⋊C₂ #14515706

• solvable
• monomial
• stem
• ambivalent

Aliases

Splittings

Subgroups

39 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2,3^5,2^2|b^3=c,c^3=d,d^3=e,e^3=f,b^a=b^2c^2d^2e^2f^2,c^a=c^2d^2e^2f^2,d^a=d^2e^2f^2,e^a=e^2f^2,f^a=f^2,g^a=gh,g^b=h,h^b=gh

Conjugacy classes & character table

165 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 100);