Finite Group Databasebeta

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#34059702

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,149|a^2=d,c^2=f,d^2=efg,e^2=g,b^a=bc,c^a=ce,e^a=eg,f^a=fg,h^a=h^105,c^b=cf,d^b=defg,e^b=eg,h^b=h^148,h^d=h^148

Conjugacy classes & character table

541 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19072, 19521);