Finite Group Databasebeta

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#34059597

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,149|a^2=d,b^2=e,d^2=g,e^2=f,b^a=bc,c^a=cf,e^a=eg,h^a=h^44,c^b=cg,d^b=df,h^b=h^105,h^d=h^148,h^e=h^148

Conjugacy classes & character table

766 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19072, 19416);