Finite Group Databasebeta

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C₂²×#994 #87531

• solvable

Aliases

Splittings

Subgroups

1335 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 28 points:

(1,2)(3,4)(5,15,25,13,8,23,10,22,16,7,19,28)(6,20,24,9,12,27,14,18,21,11,17,26);(7,13)(8,18)(9,11)(12,22)(15,17)(16,28)(19,20)(21,27)(23,25)(24,26);(3,4);(1,2)

Conjugacy classes & character table

76 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 20107);