Finite Group Databasebeta

← Group #423652

Character table — Group #423652

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222222244448888888888888888888888161616161616161616161616161616161616
order12222222224444444488882244444444444444888888222244444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1-1-111-1-1-1-111111111111-1-1-11-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-11111-1-1-1-111-1-1
χ51111111111111111111111-1-111-1-1-1-111-1-11111111111-1111-1111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-11-1-111111111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ81111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111
χ9111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1111-1-111-1-11111
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1111-11-1-111-1-111-1-111
χ13111111111111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11-1111-1-1-1-1-1-1-1111111
χ14111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11-1-1-11-1111111-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1
χ172222222222-2-2-2-2-2-2-2-2000000002-200002-222-2-2000000000000002-200000000
χ182222222222-2-2-2-2-2-2-2-2000000002-200002-2-2-22200000000000000-2200000000
χ192222222222-2-2-2-2-2-2-2-200000000-220000-2222-2-200000000000000-2200000000
χ202222222222-2-2-2-2-2-2-2-200000000-220000-22-2-222000000000000002-200000000
χ2122222-2-22-2-222-2-2-22-22222200220000-2-20000000000-2-20-20002000000000000
χ2222222-2-22-2-222-2-2-22-22222200-2-20000220000000000-2-202000-2000000000000
χ2322222-2-22-2-222-2-2-22-22-2-2-2-200220000-2-200000000002202000-2000000000000
χ2422222-2-22-2-222-2-2-22-22-2-2-2-200-2-20000220000000000220-20002000000000000
χ252222-22-2-22-22-22-2-2-22222-2-2220000-2-20000000000002-22000-20000000000000
χ262222-22-2-22-22-22-2-2-22222-2-2-2-20000220000000000002-2-200020000000000000
χ272222-22-2-22-22-22-2-2-222-2-222220000-2-2000000000000-22-200020000000000000
χ282222-22-2-22-22-22-2-2-222-2-222-2-2000022000000000000-222000-20000000000000
χ292222-2-22-2-222-2-222-2-2222-2-200002-20000-2200000000-2200000000000000002-2
χ302222-2-22-2-222-2-222-2-2222-2-20000-2200002-200000000-220000000000000000-22
χ312222-2-22-2-222-2-222-2-22-2-22200002-20000-22000000002-20000000000000000-22
χ322222-2-22-2-222-2-222-2-22-2-2220000-2200002-2000000002-200000000000000002-2
χ332222-2-22-2-22-222-2-222-200000000220000-2-2000022-2-200000000000000002-200
χ342222-2-22-2-22-222-2-222-200000000220000-2-20000-2-2220000000000000000-2200
χ352222-2-22-2-22-222-2-222-200000000-2-2000022000022-2-20000000000000000-2200
χ362222-2-22-2-22-222-2-222-200000000-2-20000220000-2-22200000000000000002-200
χ372-22-222-2-2-222-222-22-2-20000002i−2i00002i−2i0000002-22-2000000002i−2i0000000000
χ382-22-222-2-2-222-222-22-2-20000002i−2i00002i−2i000000-22-2200000000−2i2i0000000000
χ392-22-222-2-2-222-222-22-2-2000000−2i2i0000−2i2i0000002-22-200000000−2i2i0000000000
χ402-22-222-2-2-222-222-22-2-2000000−2i2i0000−2i2i000000-22-22000000002i−2i0000000000
χ412-22-22-22-22-22-2-2-2222-20000002i−2i0000−2i2i002i−2i2i−2i000000002-200000000000000
χ422-22-22-22-22-22-2-2-2222-20000002i−2i0000−2i2i00−2i2i−2i2i00000000-2200000000000000
χ432-22-22-22-22-22-2-2-2222-2000000−2i2i00002i−2i002i−2i2i−2i00000000-2200000000000000
χ442-22-22-22-22-22-2-2-2222-2000000−2i2i00002i−2i00−2i2i−2i2i000000002-200000000000000
χ452-22-22-22-22-2-2222-2-2-2200002-200002-200002i−2i−2i2i00000000000000002i−2i000000
χ462-22-22-22-22-2-2222-2-2-2200002-200002-20000−2i2i2i−2i0000000000000000−2i2i000000
χ472-22-22-22-22-2-2222-2-2-220000-220000-2200002i−2i−2i2i0000000000000000−2i2i000000
χ482-22-22-22-22-2-2222-2-2-220000-220000-220000−2i2i2i−2i00000000000000002i−2i000000
χ492-22-2-2-2-2222-2-22-222-2200002-20000-22000000002-2-22000000000000002-20000
χ502-22-2-2-2-2222-2-22-222-2200002-20000-2200000000-222-200000000000000-220000
χ512-22-2-2-2-2222-2-22-222-220000-2200002-2000000002-2-2200000000000000-220000
χ522-22-2-2-2-2222-2-22-222-220000-2200002-200000000-222-2000000000000002-20000
χ5344444-4-44-4-4-4-4444-44-400000000000000000000000000000000000000000000
χ544444-44-4-44-4-44-4444-4-400000000000000000000000000000000000000000000
χ554-44-444-4-4-44-44-4-44-44400000000000000000000000000000000000000000000
χ564-44-4-4444-4-4444-44-4-4-400000000000000000000000000000000000000000000
χ574-44-4-4444-4-4-4-4-44-444400000000000000000000000000000000000000000000
χ584-44-4-4-4-444444-44-4-44-400000000000000000000000000000000000000000000
χ5988-8-800000000000000004i2−4i20000000000000000000000000000000000000000
χ6088-8-80000000000000000−4i24i20000000000000000000000000000000000000000
χ618-8-880000000000000042−42000000000000000000000000000000000000000000
χ628-8-8800000000000000−4242000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).