Finite Group Databasebeta

← Group #260296

Character table — Group #260296

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444444444444444888888888888888844444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111-1-11-1-1-1-1111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111
χ71111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111
χ81111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1111111-1-1-1-1
χ911111111-1-1-1-111111111-1-111111-1-11-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-1
χ1011111111-1-1-1-111111111-1-111111-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-1-111
χ1111111111-1-1-1-111111111-1-111111-1-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-111
χ1211111111-1-1-1-111111111-1-111111-1-11-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-1-11111-1-1
χ1311111111-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-111
χ1411111111-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1-1
χ1511111111-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1-111
χ1722222222222222-2-222-2-2222222-2-2-2-222-2-2-2-2-20000000000000000000000000000000000
χ1822222222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000
χ19222222222222-2-222-2-222-2-20000-222-200-2000022220000000000000000-200-20000000000
χ20222222222222-2-222-2-222-2-20000-222-200-20000-2-2-2-2000000000000000020020000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-200002-2-2200200000000000000000000000002-202-200000000
χ22222222222222-2-2-2-2-2-2-2-2-2-200002-2-220020000000000000000000000000-220-2200000000
χ2322222222-2-2-2-222-2-222-2-2-2-22222-222-2-2-22-2-2220000000000000000000000000000000000
χ2422222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-222-222222-2-20000000000000000000000000000000000
χ2522222222-2-2-2-2-2-222-2-222220000-2-2-2-2002000022-2-20000000000000000200-20000000000
χ2622222222-2-2-2-2-2-222-2-222220000-2-2-2-20020000-2-2220000000000000000-20020000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2220000222200-200000000000000000000000002-20-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2220000222200-20000000000000000000000000-2202-200000000
χ292222-2-2-2-222-2-22200-2-2002-222-2-200002-20000000000000000022−2−222−2−200000000002−22−2
χ302222-2-2-2-222-2-22200-2-2002-222-2-200002-200000000000000000−2−222−2−2220000000000−22−22
χ312222-2-2-2-222-2-22200-2-2002-2-2-2220000-220000000000000000022−2−222−2−20000000000−22−22
χ322222-2-2-2-222-2-22200-2-2002-2-2-2220000-2200000000000000000−2−222−2−22200000000002−22−2
χ332222-2-2-2-2-2-2222200-2-200-2222-2-20000-220000000000000000022−2−2−2−22200000000002−2−22
χ342222-2-2-2-2-2-2222200-2-200-2222-2-20000-2200000000000000000−2−22222−2−20000000000−222−2
χ352222-2-2-2-2-2-2222200-2-200-22-2-22200002-20000000000000000022−2−2−2−2220000000000−222−2
χ362222-2-2-2-2-2-2222200-2-200-22-2-22200002-200000000000000000−2−22222−2−200000000002−2−22
χ372-22-22-22-200002-2222-2-2-2002i−2i2i−2i-20020002i−2i00000000002i2i−2i−2i00000000000000002-20000
χ382-22-22-22-200002-2222-2-2-2002i−2i2i−2i-20020002i−2i0000000000−2i−2i2i2i0000000000000000-220000
χ392-22-22-22-200002-2222-2-2-200−2i2i−2i2i-2002000−2i2i00000000002i2i−2i−2i0000000000000000-220000
χ402-22-22-22-200002-2222-2-2-200−2i2i−2i2i-2002000−2i2i0000000000−2i−2i2i2i00000000000000002-20000
χ412-22-22-22-200002-2-2-22-222002i−2i2i−2i200-2000−2i2i00000022-2-20000000000000000002i−2i000000
χ422-22-22-22-200002-2-2-22-222002i−2i2i−2i200-2000−2i2i000000-2-222000000000000000000−2i2i000000
χ432-22-22-22-200002-2-2-22-22200−2i2i−2i2i200-20002i−2i00000022-2-2000000000000000000−2i2i000000
χ442-22-22-22-200002-2-2-22-22200−2i2i−2i2i200-20002i−2i000000-2-2220000000000000000002i−2i000000
χ452-2-22-222-22i−2i2i−2i002-2002-200000002i−2i000000002-22i−2ii2−i2i2−i22−22−2i2−i2i2−i22−22−200000000000000
χ462-2-22-222-22i−2i2i−2i002-2002-200000002i−2i000000002-22i−2i−i2i2−i2i2−22−22−i2i2−i2i2−22−2200000000000000
χ472-2-22-222-22i−2i2i−2i002-2002-200000002i−2i00000000-22−2i2ii2−i2i2−i22−22−2−i2i2−i2i2−22−2200000000000000
χ482-2-22-222-22i−2i2i−2i002-2002-200000002i−2i00000000-22−2i2i−i2i2−i2i2−22−22i2−i2i2−i22−22−200000000000000
χ492-2-22-222-2−2i2i−2i2i002-2002-20000000−2i2i000000002-2−2i2ii2−i2i2−i2−22−22i2−i2i2−i2−22−2200000000000000
χ502-2-22-222-2−2i2i−2i2i002-2002-20000000−2i2i000000002-2−2i2i−i2i2−i2i22−22−2−i2i2−i2i22−22−200000000000000
χ512-2-22-222-2−2i2i−2i2i002-2002-20000000−2i2i00000000-222i−2ii2−i2i2−i2−22−22−i2i2−i2i22−22−200000000000000
χ522-2-22-222-2−2i2i−2i2i002-2002-20000000−2i2i00000000-222i−2i−i2i2−i2i22−22−2i2−i2i2−i2−22−2200000000000000
χ534444-4-4-4-444-4-4-4-4004400-440000000000000000000000000000000000000000000000000
χ544444-4-4-4-4-4-444-4-40044004-40000000000000000000000000000000000000000000000000
χ5544-4-4-4-4440000004-400-4400000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5644-4-4-4-4440000004-400-440000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ5744-4-4-4-444000000-44004-40000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ5844-4-4-4-444000000-44004-4000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ594-44-44-44-40000-4444-44-4-4000000400-400000000000000000000000000000000000000000
χ604-44-44-44-40000-44-4-4-4444000000-400400000000000000000000000000000000000000000
χ614-44-4-44-4400004-400-4400004i−4i−4i4i000000000000000000000000000000000000000000000
χ624-44-4-44-4400004-400-440000−4i4i4i−4i000000000000000000000000000000000000000000000
χ634-44-4-44-440000-44004-4000000000000000004i−4i0000000000000000000000000000000000
χ644-44-4-44-440000-44004-400000000000000000−4i4i0000000000000000000000000000000000
χ654-4-444-4-444i−4i−4i4i00000000000000000000000000000000000002i−2i−2i2i2-2-2200000000000000
χ664-4-444-4-444i−4i−4i4i0000000000000000000000000000000000000−2i2i2i−2i-222-200000000000000
χ674-4-444-4-44−4i4i4i−4i00000000000000000000000000000000000002i−2i−2i2i-222-200000000000000
χ684-4-444-4-44−4i4i4i−4i0000000000000000000000000000000000000−2i2i2i−2i2-2-2200000000000000
χ694-4-44-444-44i−4i4i−4i00-4400-440000000−4i4i000000000000000000000000000000000000000000
χ704-4-44-444-4−4i4i−4i4i00-4400-4400000004i−4i000000000000000000000000000000000000000000
χ7188-8-888-8-8000000000000000000000000000000000000000000000000000000000000000

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