Finite Group Databasebeta

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C₃⋊#27130800 #49137104

• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

56 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^2,3,5,11^2,5|a^2=b,d^5=g^4,c^a=c^2,d^a=d^4g,e^a=e^6f^6,f^a=e^3f^5,g^a=g^4,e^b=e^10,f^b=f^10,e^d=e^9f^3,f^d=f^5

Conjugacy classes & character table

168 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36300, 240);