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C₂⁴×Dic₇ #90621

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

1362 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 19 points:

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

Conjugacy classes & character table

160 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 1383);