Finite Group Databasebeta

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#30657666

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

40 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^6,257|a^2=d,b^2=ce,c^2=ef,d^2=f,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^241,g^b=g^256,g^d=g^256

Conjugacy classes & character table

1046 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16448, 1478);