Finite Group Databasebeta

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#26268114

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

708 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=efh,b^2=ef,c^2=h,d^2=eh,g^2=h,b^a=be,c^a=cf,d^a=de,i^a=i^46,c^b=cg,g^b=gh,i^b=i^46,d^c=dh,g^c=gh,i^c=i^46,i^d=i^46

Conjugacy classes & character table

920 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 221404);