Finite Group Databasebeta

← Group #512103

Character table — Group #512103

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222224444444444444444444488888888888888888888161616161616161632323232
order1222224444224444444444888888882222444444444444888816161616161616164444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ91111111111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ101111111111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-11-11
χ111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-111-1-1-11-11
χ121111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1111-11-1
χ131111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-11
χ141111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-111-1
χ151111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1
χ161111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11
χ172222222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000000000000
χ18222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222000000000000
χ192222222222-2-222-2-2-2-222-2-22222-2-2-2-20000000000000000-2-222000000000000
χ202222222222-2-2-2-222-2-2-2-2222222-2-2-2-2000000000000000022-2-2000000000000
χ21222222-2-2-2-22222-2-2-2-2-2-22200000000000000000000000000002−22−22−22−20000
χ22222222-2-2-2-22222-2-2-2-2-2-2220000000000000000000000000000−22−22−22−220000
χ23222222-2-2-2-222-2-222-2-222-2-200000000000000000000000000002−22−2−22−220000
χ24222222-2-2-2-222-2-222-2-222-2-20000000000000000000000000000−22−222−22−20000
χ25222222-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000002−2−222−2−220000
χ26222222-2-2-2-2-2-2222222-2-2-2-20000000000000000000000000000−222−2−222−20000
χ27222222-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000002−2−22−222−20000
χ28222222-2-2-2-2-2-2-2-2-2-22222220000000000000000000000000000−222−22−2−220000
χ292222-2-2-2-2222-200002-2000022-2-222-2-2000022220000-2-2-2-20000000000000000
χ302222-2-2-2-2222-200002-2000022-2-222-2-20000-2-2-2-2000022220000000000000000
χ312222-2-2-2-2222-200002-20000-2-222-2-22222-2-20000-2-22200000000000000000000
χ322222-2-2-2-2222-200002-20000-2-222-2-222-2-222000022-2-200000000000000000000
χ332222-2-2-2-222-220000-22000022-2-2-2-22222220000-2-2-2-200000000000000000000
χ342222-2-2-2-222-220000-22000022-2-2-2-222-2-2-2-20000222200000000000000000000
χ352222-2-2-2-222-220000-220000-2-22222-2-2000022-2-20000-2-2220000000000000000
χ362222-2-2-2-222-220000-220000-2-22222-2-20000-2-222000022-2-20000000000000000
χ372-22-22-22-22-200002i−2i00002i−2i00002-22-2002-22i−2i00002-22i−2i00002i−2i000000000000
χ382-22-22-22-22-200002i−2i00002i−2i00002-22-200-22−2i2i0000-22−2i2i00002i−2i000000000000
χ392-22-22-22-22-200002i−2i00002i−2i0000-22-222-200002i−2i2-200002i−2i00−2i2i000000000000
χ402-22-22-22-22-200002i−2i00002i−2i0000-22-22-220000−2i2i-220000−2i2i00−2i2i000000000000
χ412-22-22-22-22-20000−2i2i0000−2i2i00002-22-2002-2−2i2i00002-2−2i2i0000−2i2i000000000000
χ422-22-22-22-22-20000−2i2i0000−2i2i00002-22-200-222i−2i0000-222i−2i0000−2i2i000000000000
χ432-22-22-22-22-20000−2i2i0000−2i2i0000-22-222-20000−2i2i2-20000−2i2i002i−2i000000000000
χ442-22-22-22-22-20000−2i2i0000−2i2i0000-22-22-2200002i−2i-2200002i−2i002i−2i000000000000
χ452-22-2-22-222-2002i−2i00002i−2i0000002-2-222-2002i−2i00-2200−2i2i002i−2i00000000000000
χ462-22-2-22-222-2002i−2i00002i−2i0000002-2-22-2200−2i2i002-2002i−2i002i−2i00000000000000
χ472-22-2-22-222-2002i−2i00002i−2i000000-222-2002-200−2i2i00-22002i−2i−2i2i00000000000000
χ482-22-2-22-222-2002i−2i00002i−2i000000-222-200-22002i−2i002-200−2i2i−2i2i00000000000000
χ492-22-2-22-222-200−2i2i0000−2i2i0000002-2-222-200−2i2i00-22002i−2i00−2i2i00000000000000
χ502-22-2-22-222-200−2i2i0000−2i2i0000002-2-22-22002i−2i002-200−2i2i00−2i2i00000000000000
χ512-22-2-22-222-200−2i2i0000−2i2i000000-222-2002-2002i−2i00-2200−2i2i2i−2i00000000000000
χ522-22-2-22-222-200−2i2i0000−2i2i000000-222-200-2200−2i2i002-2002i−2i2i−2i00000000000000
χ534444-4-444-4-44-40000-4400000000000000000000000000000000000000000000
χ544444-4-444-4-4-4400004-400000000000000000000000000000000000000000000
χ554-44-44-4-44-4400004i−4i0000−4i4i0000000000000000000000000000000000000000
χ564-44-44-4-44-440000−4i4i00004i−4i0000000000000000000000000000000000000000
χ574-44-4-444-4-44004i−4i0000−4i4i000000000000000000000000000000000000000000
χ584-44-4-444-4-4400−4i4i00004i−4i000000000000000000000000000000000000000000
χ5988-8-800000000000000000042−4200000000000000000000000000000000000000
χ6088-8-8000000000000000000−424200000000000000000000000000000000000000
χ618-8-88000000000000000000004i2−4i2000000000000000000000000000000000000
χ628-8-8800000000000000000000−4i24i2000000000000000000000000000000000000

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