Finite Group Databasebeta

← Group #352263

Character table — Group #352263

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111222222222222222222444444444444444444444488888888888888883232323232323232
order12222244444444888888884488888888888888888888244488888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ911111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ1011111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ1111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11
χ1211111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ1722222222-2-2-2-2-2-2000000002-20000000000002222-2-2-2-200002i2i−2i−2i2i2i−2i−2i000000000000
χ1822222222-2-2-2-2-2-2000000002-20000000000002222-2-2-2-20000−2i−2i2i2i−2i−2i2i2i000000000000
χ1922222222-2-2-2-2-2-2000000002-2000000000000-2-2-2-2222200002i2i−2i−2i−2i−2i2i2i000000000000
χ2022222222-2-2-2-2-2-2000000002-2000000000000-2-2-2-222220000−2i−2i2i2i2i2i−2i−2i000000000000
χ21222222-2-222-2-2222222-2-2-2-2-2-222-2-200000000000000002-22-22-22-20000000000000000
χ22222222-2-222-2-2222222-2-2-2-2-2-222-2-20000000000000000-22-22-22-220000000000000000
χ23222222-2-222-2-222-2-2-2-22222-2-2-2-22200000000000000002-22-2-22-220000000000000000
χ24222222-2-222-2-222-2-2-2-22222-2-2-2-2220000000000000000-22-222-22-20000000000000000
χ25222222-2-2-2-222-2-200000000-2200002222-2-2-2-20000000000002i−2i−2i2i00002i2i−2i−2i00000000
χ26222222-2-2-2-222-2-200000000-2200002222-2-2-2-2000000000000−2i2i2i−2i0000−2i−2i2i2i00000000
χ27222222-2-2-2-222-2-200000000-220000-2-2-2-222220000000000002i−2i−2i2i0000−2i−2i2i2i00000000
χ28222222-2-2-2-222-2-200000000-220000-2-2-2-22222000000000000−2i2i2i−2i00002i2i−2i−2i00000000
χ292222-2-2222222-2-222222222-2-2-2-2-2-222-2-222-2-222-2-222-2-2000000000000000000000000
χ302222-2-2222222-2-222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-222000000000000000000000000
χ312222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-2-2-222-2-222000000000000000000000000
χ322222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-22222-2-222-2-2000000000000000000000000
χ332222-2-222-2-2-2-22200000000-2200000000000022-2-2-2-22222-2-2000000002-22-200000000
χ342222-2-222-2-2-2-22200000000-2200000000000022-2-2-2-222-2-22200000000-22-2200000000
χ352222-2-222-2-2-2-22200000000-22000000000000-2-22222-2-222-2-200000000-22-2200000000
χ362222-2-222-2-2-2-22200000000-22000000000000-2-22222-2-2-2-222000000002-22-200000000
χ372222-2-2-2-222-2-2-2-22222-2-2-2-222-2-2220000000000000000000000002i−2i2i−2i2i−2i−2i2i00000000
χ382222-2-2-2-222-2-2-2-22222-2-2-2-222-2-222000000000000000000000000−2i2i−2i2i−2i2i2i−2i00000000
χ392222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-20000000000000000000000002i−2i2i−2i−2i2i2i−2i00000000
χ402222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2000000000000000000000000−2i2i−2i2i2i−2i−2i2i00000000
χ412222-2-2-2-2-2-22222000000002-2000022-2-2-2-222000000002-2-220000-222-2000000000000
χ422222-2-2-2-2-2-22222000000002-2000022-2-2-2-22200000000-222-200002-2-22000000000000
χ432222-2-2-2-2-2-22222000000002-20000-2-22222-2-2000000002-2-2200002-2-22000000000000
χ442222-2-2-2-2-2-22222000000002-20000-2-22222-2-200000000-222-20000-222-2000000000000
χ4544-4-4004-40000002222−22−222222−22−220000000022−220022−22004-40000000000000000000000000000
χ4644-4-4004-40000002222−22−222222−22−2200000000−222200−222200-440000000000000000000000000000
χ4744-4-4004-4000000−22−222222−22−2222220000000022−220022−2200-440000000000000000000000000000
χ4844-4-4004-4000000−22−222222−22−22222200000000−222200−2222004-40000000000000000000000000000
χ4944-4-400-440000002222−22−22−22−2222220000000022−2200−22220000004-4000000000000000000000000
χ5044-4-400-440000002222−22−22−22−22222200000000−22220022−22000000-44000000000000000000000000
χ5144-4-400-44000000−22−2222222222−22−220000000022−2200−2222000000-44000000000000000000000000
χ5244-4-400-44000000−22−2222222222−22−2200000000−22220022−220000004-4000000000000000000000000
χ534-44-40000004-4002i2−2i22i2−2i22i2−2i22i2−2i200000000004i−4i0022−220022−2200000000000000000000000000
χ544-44-40000004-4002i2−2i22i2−2i22i2−2i22i2−2i20000000000−4i4i00−222200−222200000000000000000000000000
χ554-44-40000004-400−2i22i2−2i22i2−2i22i2−2i22i200000000004i−4i00−222200−222200000000000000000000000000
χ564-44-40000004-400−2i22i2−2i22i2−2i22i2−2i22i20000000000−4i4i0022−220022−2200000000000000000000000000
χ574-44-4000000-44002i2−2i22i2−2i2−2i22i2−2i22i20000004i−4i00000022−2200−222200000000000000000000000000
χ584-44-4000000-44002i2−2i22i2−2i2−2i22i2−2i22i2000000−4i4i000000−22220022−2200000000000000000000000000
χ594-44-4000000-4400−2i22i2−2i22i22i2−2i22i2−2i20000004i−4i000000−22220022−2200000000000000000000000000
χ604-44-4000000-4400−2i22i2−2i22i22i2−2i22i2−2i2000000−4i4i00000022−2200−222200000000000000000000000000
χ614-4-444-4004-4004-400004i−4i−4i4i00004i−4i0000000000000000000000000000000000000000
χ624-4-444-4004-4004-40000−4i4i4i−4i0000−4i4i0000000000000000000000000000000000000000
χ634-4-444-400-4400-444i−4i−4i4i0000004i−4i000000000000000000000000000000000000000000
χ644-4-444-400-4400-44−4i4i4i−4i000000−4i4i000000000000000000000000000000000000000000
χ654-4-44-44004-400-4400004i−4i−4i4i0000−4i4i0000000000000000000000000000000000000000
χ664-4-44-44004-400-440000−4i4i4i−4i00004i−4i0000000000000000000000000000000000000000
χ674-4-44-4400-44004-44i−4i−4i4i000000−4i4i000000000000000000000000000000000000000000
χ684-4-44-4400-44004-4−4i4i4i−4i0000004i−4i000000000000000000000000000000000000000000

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