Finite Group Databasebeta

← Group #490739

Character table — Group #490739

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444444444444444444441616161616161616161616161616161632323232
order1222224444444488884488888888888888888888882444888816161616161616164444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ101111-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-11-11
χ111111-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-11-11
χ121111-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111-11-1
χ131111-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-11
χ141111-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-111-1
χ161111-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000
χ1922222222-2-222-2-22222-2-2-2-222-2-200000000000000002-22-20000000000000000
χ2022222222-2-222-2-22222-2-2-2-222-2-20000000000000000-22-220000000000000000
χ2122222222-2-222-2-2-2-2-2-2-2-222-2-222000000000000000000002i−2i2i−2i000000000000
χ2222222222-2-222-2-2-2-2-2-2-2-222-2-22200000000000000000000−2i2i−2i2i000000000000
χ23222222-2-2-2-2-2-22200002-200000022-2-222-2-200000000000000002−22−22−22−20000
χ24222222-2-2-2-2-2-22200002-200000022-2-222-2-20000000000000000−22−22−22−220000
χ25222222-2-2-2-2-2-22200002-2000000-2-222-2-22200000000000000002−22−2−22−220000
χ26222222-2-2-2-2-2-22200002-2000000-2-222-2-2220000000000000000−22−222−22−20000
χ272222-2-22222-2-2220000-2-200000022-2-2-2-22200000000000000002−2−222−2−220000
χ282222-2-22222-2-2220000-2-200000022-2-2-2-2220000000000000000−222−2−222−20000
χ292222-2-22222-2-2220000-2-2000000-2-22222-2-200000000000000002−2−22−222−20000
χ302222-2-22222-2-2220000-2-2000000-2-22222-2-20000000000000000−222−22−2−220000
χ312222-2-2-2-22222-2-222222-2-2-2-2-22200000000000000002-2-220000000000000000
χ322222-2-2-2-22222-2-222222-2-2-2-2-2220000000000000000-222-20000000000000000
χ332222-2-2-2-22222-2-2-2-2-2-22-22222-2-2000000000000000000002i−2i−2i2i000000000000
χ342222-2-2-2-22222-2-2-2-2-2-22-22222-2-200000000000000000000−2i2i2i−2i000000000000
χ352222-2-2-2-2-2-22222-2-2-2-2-22-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000
χ362222-2-2-2-2-2-22222-2-2-2-2-22-2-22222-2-2-2-222222222-2-2-2-200000000000000000000
χ37444444-4-444-4-4-4-40000-44000000000000000000000000000000000000000000
χ384444-4-444-4-4-4-4-4-4000044000000000000000000000000000000000000000000
χ3944-4-4000000004-42222−22−220022−22000000004-40000002222−22−2200000000000000000000
χ4044-4-4000000004-42222−22−220022−2200000000-44000000−22−22222200000000000000000000
χ4144-4-4000000004-4−22−22222200−2222000000004-4000000−22−22222200000000000000000000
χ4244-4-4000000004-4−22−22222200−222200000000-440000002222−22−2200000000000000000000
χ4344-4-400000000-442222−22−2200−22220000004-400002222−22−22000000000000000000000000
χ4444-4-400000000-442222−22−2200−2222000000-440000−22−222222000000000000000000000000
χ4544-4-400000000-44−22−2222220022−220000004-40000−22−222222000000000000000000000000
χ4644-4-400000000-44−22−2222220022−22000000-4400002222−22−22000000000000000000000000
χ474-44-44-44-4004-4000000000000000000000022−2222−2222−2222−2200000000000000000000
χ484-44-44-44-4004-40000000000000000000000−2222−2222−2222−222200000000000000000000
χ494-44-44-4-4400-44004-44-400004-400000000000000000000000000000000000000
χ504-44-44-4-4400-4400-44-440000-4400000000000000000000000000000000000000
χ514-44-4-444-400-44004-44-40000-4400000000000000000000000000000000000000
χ524-44-4-444-400-4400-44-4400004-400000000000000000000000000000000000000
χ534-44-4-44-44004-4000000000000000000000022−2222−22−2222−222200000000000000000000
χ544-44-4-44-44004-40000000000000000000000−2222−222222−2222−2200000000000000000000
χ554-4-4400004-4000022−22−222200000022−2222−22000022−222-2-222-2-2200000000000000000000
χ564-4-4400004-4000022−22−222200000022−22−22220000−2222-222-2-222-200000000000000000000
χ574-4-4400004-40000−222222−22000000−222222−22000022−22-222-2-222-200000000000000000000
χ584-4-4400004-40000−222222−22000000−2222−22220000−22222-2-222-2-2200000000000000000000
χ594-4-440000-44000022−22−2222000000−222222−220000−22222-2-22-222-200000000000000000000
χ604-4-440000-44000022−22−2222000000−2222−2222000022−22-222-22-2-2200000000000000000000
χ614-4-440000-440000−222222−2200000022−2222−220000−2222-222-22-2-2200000000000000000000
χ624-4-440000-440000−222222−2200000022−22−2222000022−222-2-22-222-200000000000000000000

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