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C₂×#4978 #82148

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

712 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 21 points:

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

Conjugacy classes & character table

96 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 14724);