Finite Group Databasebeta

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#27135056

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

64 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^6,193|a^2=d,c^2=f,d^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^192,c^b=cf,d^b=def,d^c=df

Conjugacy classes & character table

1357 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12352, 346);