Finite Group Databasebeta

← Group #491521

Character table — Group #491521

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111222222222222222222444444444444444444444488888888888888883232323232323232
order122222444444448888888844888888888888888888881616161616161616161616161616161622244444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-11
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1111
χ91111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-11-1-1
χ101111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11-111
χ111111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111-11
χ121111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-11-1
χ131111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-11-11-11-1
χ141111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-11-11-11
χ151111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1-11-1-111
χ161111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-111-111-1-1
χ1722222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2222222-2-2-2-2-2-222-2-200000000000000000000000022-2-222-2-200000000
χ2022222222-2-2-2-2222222-2-2-2-2-2-222-2-2000000000000000000000000-2-222-2-22200000000
χ2122222222-2-2-2-222-2-2-2-22222-2-2-2-222000000000000000022-2-222-2-20000000000000000
χ2222222222-2-2-2-222-2-2-2-22222-2-2-2-2220000000000000000-2-222-2-2220000000000000000
χ23222222-2-222-2-2-2-2000000002-20000000022-2-2000022-2-22−22−22−22−22−22−22−22−200000000
χ24222222-2-222-2-2-2-2000000002-20000000022-2-2000022-2-2−22−22−22−22−22−22−22−2200000000
χ25222222-2-222-2-2-2-2000000002-200000000-2-2220000-2-2222−22−22−22−2−22−22−22−2200000000
χ26222222-2-222-2-2-2-2000000002-200000000-2-2220000-2-222−22−22−22−222−22−22−22−200000000
χ27222222-2-2-2-222-2-200000000-22000022-2-2000022-2-200002−2−222−2−222−2−222−2−2200000000
χ28222222-2-2-2-222-2-200000000-22000022-2-2000022-2-20000−222−2−222−2−222−2−222−200000000
χ29222222-2-2-2-222-2-200000000-220000-2-2220000-2-22200002−2−222−2−22−222−2−222−200000000
χ30222222-2-2-2-222-2-200000000-220000-2-2220000-2-2220000−222−2−222−22−2−222−2−2200000000
χ312222-2-22222-2-2-2-200000000-220000000022-2-20000-2-2222−22−2−22−222−22−2−22−2200000000
χ322222-2-22222-2-2-2-200000000-220000000022-2-20000-2-222−22−222−22−2−22−222−22−200000000
χ332222-2-22222-2-2-2-200000000-2200000000-2-222000022-2-22−22−2−22−22−22−222−22−200000000
χ342222-2-22222-2-2-2-200000000-2200000000-2-222000022-2-2−22−222−22−22−22−2−22−2200000000
χ352222-2-222-2-222-2-2000000002-2000022-2-20000-2-22200002−2−22−222−22−2−22−222−200000000
χ362222-2-222-2-222-2-2000000002-2000022-2-20000-2-2220000−222−22−2−22−222−22−2−2200000000
χ372222-2-222-2-222-2-2000000002-20000-2-222000022-2-200002−2−22−222−2−222−22−2−2200000000
χ382222-2-222-2-222-2-2000000002-20000-2-222000022-2-20000−222−22−2−222−2−22−222−200000000
χ392222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222000000000000000000000000
χ402222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000
χ412222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-22200000000000000000000000022-2-2-2-22200000000
χ422222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-222000000000000000000000000-2-22222-2-200000000
χ432222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2000000000000000022-2-2-2-2220000000000000000
χ442222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-20000000000000000-2-22222-2-20000000000000000
χ4544-4-40000004-4002222−22−222222−22−2200000000000000004i−4i2i2−2i22i2−2i2000000000000000000000000
χ4644-4-40000004-4002222−22−222222−22−220000000000000000−4i4i−2i22i2−2i22i2000000000000000000000000
χ4744-4-40000004-400−22−222222−22−22222200000000000000004i−4i−2i22i2−2i22i2000000000000000000000000
χ4844-4-40000004-400−22−222222−22−2222220000000000000000−4i4i2i2−2i22i2−2i2000000000000000000000000
χ4944-4-4000000-44002222−22−22−22−222222000000000000004i−4i002i2−2i2−2i22i2000000000000000000000000
χ5044-4-4000000-44002222−22−22−22−22222200000000000000−4i4i00−2i22i22i2−2i2000000000000000000000000
χ5144-4-4000000-4400−22−2222222222−22−22000000000000004i−4i00−2i22i22i2−2i2000000000000000000000000
χ5244-4-4000000-4400−22−2222222222−22−2200000000000000−4i4i002i2−2i2−2i22i2000000000000000000000000
χ534-44-400004-4000022−2222−2222−2222−220000002i2−2i22i2−2i2004i−4i00000000000000000000000000000000
χ544-44-400004-4000022−2222−2222−2222−22000000−2i22i2−2i22i200−4i4i00000000000000000000000000000000
χ554-44-400004-40000−2222−2222−2222−22220000002i2−2i22i2−2i200−4i4i00000000000000000000000000000000
χ564-44-400004-40000−2222−2222−2222−2222000000−2i22i2−2i22i2004i−4i00000000000000000000000000000000
χ574-44-40000-44000022−2222−22−2222−22220000002i2−2i2−2i22i24i−4i0000000000000000000000000000000000
χ584-44-40000-44000022−2222−22−2222−2222000000−2i22i22i2−2i2−4i4i0000000000000000000000000000000000
χ594-44-40000-440000−2222−222222−2222−220000002i2−2i2−2i22i2−4i4i0000000000000000000000000000000000
χ604-44-40000-440000−2222−222222−2222−22000000−2i22i22i2−2i24i−4i0000000000000000000000000000000000
χ614-4-444-44-400004-400004-4-4400004-40000000000000000000000000000000000000000
χ624-4-444-44-400004-40000-444-40000-440000000000000000000000000000000000000000
χ634-4-444-4-440000-444-4-440000004-4000000000000000000000000000000000000000000
χ644-4-444-4-440000-44-444-4000000-44000000000000000000000000000000000000000000
χ654-4-44-444-40000-444-4-44000000-44000000000000000000000000000000000000000000
χ664-4-44-444-40000-44-444-40000004-4000000000000000000000000000000000000000000
χ674-4-44-44-4400004-400004-4-440000-440000000000000000000000000000000000000000
χ684-4-44-44-4400004-40000-444-400004-40000000000000000000000000000000000000000

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