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C₇×#6039 #13063784

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 25 points:

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

Conjugacy classes & character table

203 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1400, 73);