Finite Group Databasebeta

← Group #304490

Character table — Group #304490

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442244444448888888822224444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ91111111111111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-111-1-1-1-1-111-11-111-1-111-1-1
χ101111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-11111-1-111-1-1-111-11-1-1-111-1-111
χ111111111111111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-111-11-1-1-11-1111-1-1-1-111
χ121111111111111-1-1-1-1-1-11111111-1-1-111-1-1-1-1111111-1-1-11-1-1-11-11-1-11111-1-1
χ131111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1-1111-111-11-11-1-11111-1-1
χ141111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1111111-1-11-111-11-1111-1-1-1-111
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-11-11-1-1-111-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-111111-11-11-111-1-111-1-1
χ17222222222222-22222-2-2-2-2-2000022-2220000000000000-20-2000000000000
χ18222222222222-22222-2-2-2-2-20000-2-2-2-2-20000000000000202000000000000
χ19222222222222-2-2-2-2-222-2-2-20000222-2-2000000000000020-2000000000000
χ20222222222222-2-2-2-2-222-2-2-20000-2-22220000000000000-202000000000000
χ2122222222-2-2-2-2222-2-222-2-2222-2-200-200000000000000-2020000000000000
χ2222222222-2-2-2-2222-2-222-2-22-2-22200-20000000000000020-20000000000000
χ2322222222-2-2-2-22-2-222-2-2-2-2222-2-20020000000000000020-20000000000000
χ2422222222-2-2-2-22-2-222-2-2-2-22-2-22200200000000000000-2020000000000000
χ2522222222-2-2-2-2-222-2-2-2-222-200000020000000000000000002-2-2200000000
χ2622222222-2-2-2-2-222-2-2-2-222-20000002000000000000000000-222-200000000
χ2722222222-2-2-2-2-2-2-2222222-2000000-200000000000000000022-2-200000000
χ2822222222-2-2-2-2-2-2-2222222-2000000-2000000000000000000-2-22200000000
χ292222-2-2-2-22-22-2-20000002-222-22-20000000002i2i−2i−2i000000000000002i−2i0000
χ302222-2-2-2-22-22-2-20000002-222-22-2000000000−2i−2i2i2i00000000000000−2i2i0000
χ312222-2-2-2-22-22-2-20000002-22-22-220000000002i2i−2i−2i00000000000000−2i2i0000
χ322222-2-2-2-22-22-2-20000002-22-22-22000000000−2i−2i2i2i000000000000002i−2i0000
χ332222-2-2-2-2-22-22-2000000-2222-2-22000002i2i−2i−2i00000000000000002i−2i000000
χ342222-2-2-2-2-22-22-2000000-2222-2-2200000−2i−2i2i2i0000000000000000−2i2i000000
χ352222-2-2-2-2-22-22-2000000-222-222-2000002i2i−2i−2i0000000000000000−2i2i000000
χ362222-2-2-2-2-22-22-2000000-222-222-200000−2i−2i2i2i00000000000000002i−2i000000
χ372-22-222-2-222-2-202-22-20000000002i−2i02i−2ii2−i2i2−i2i2−i2i2−i200000000000000002−22−2
χ382-22-222-2-222-2-202-22-20000000002i−2i02i−2i−i2i2−i2i2−i2i2−i2i20000000000000000−22−22
χ392-22-222-2-222-2-202-22-2000000000−2i2i0−2i2ii2−i2i2−i2i2−i2i2−i20000000000000000−22−22
χ402-22-222-2-222-2-202-22-2000000000−2i2i0−2i2i−i2i2−i2i2−i2i2−i2i200000000000000002−22−2
χ412-22-222-2-222-2-20-22-220000000002i−2i0−2i2ii2−i2i2−i2−i2i2−i2i200000000000000002−2−22
χ422-22-222-2-222-2-20-22-220000000002i−2i0−2i2i−i2i2−i2i2i2−i2i2−i20000000000000000−222−2
χ432-22-222-2-222-2-20-22-22000000000−2i2i02i−2ii2−i2i2−i2−i2i2−i2i20000000000000000−222−2
χ442-22-222-2-222-2-20-22-22000000000−2i2i02i−2i−i2i2−i2i2i2−i2i2−i200000000000000002−2−22
χ454444-4-4-4-44-44-44000000-44-40000000000000000000000000000000000000
χ464444-4-4-4-4-44-4440000004-4-40000000000000000000000000000000000000
χ474-44-444-4-4-4-44404-4-44000000000000000000000000000000000000000000
χ484-44-444-4-4-4-4440-444-4000000000000000000000000000000000000000000
χ494-44-4-4-4444-4-440000000000000000000000022−22−222200000000000000000000
χ504-44-4-4-4444-4-4400000000000000000000000−222222−2200000000000000000000
χ514-44-4-4-444-444-4000000000000000000022−22−2222000000000000000000000000
χ524-44-4-4-444-444-40000000000000000000−222222−22000000000000000000000000
χ534-4-44-44-440000000004-4000000000000000000002-22-20000000000000000
χ544-4-44-44-440000000004-400000000000000000000-22-220000000000000000
χ554-4-44-44-44000000000-44000000000000000000002-2-220000000000000000
χ564-4-44-44-44000000000-4400000000000000000000-222-20000000000000000
χ5788-8-88-8-88000000000000000000000000000000000000000000000000000
χ5888-8-8-888-8000000000000000000000000000000000000000000000000000
χ598-8-888-88-8000000000000000000000000000000000000000000000000000

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