Finite Group Databasebeta

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C₂×#6398 #89908

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 25 points:

(3,4,6,8,9,7,5)(10,12,13,19,14,20,22,25)(11,15,16,23,17,18,21,24);(4,5)(6,7)(8,9)(10,11,14,17)(12,18,20,15)(13,21,22,16)(19,23,25,24);(1,2)

Conjugacy classes & character table

82 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 670);