A group of order 21 has conjugacy classes of sizes 1, 3, 3, 7, and 7, and it has a normal subgroup of order 7. Find its character table.

Asked Nov 25 '19 at 21:46

Active Nov 26 '19 at 11:43

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I’m trying to find the character table of a group of order 21 with conjugacy classes of sizes 1, 3, 3, 7, and 7, and a normal subgroup of order 7.

I’m really confused because I’ve only ever been taught how to find character tables of symmetric groups, so I don’t really know where to start with this group.

edited Nov 25 '19 at 22:12

Shaun

44,997

asked Nov 25 '19 at 21:46

Jonahhill

possible duplicate of https://math.stackexchange.com/questions/970660/character-table-of-the-non-abelian-group-of-order-21?rq=1 – GreginGre Nov 26 '19 at 12:15

A group of order 21 has conjugacy classes of sizes 1, 3, 3, 7, and 7, and it has a normal subgroup of order 7. Find its character table.

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