Finite Group Databasebeta

← Group #263602

Character table — Group #263602

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222222222444444444444488888888888888888888881616161616161616161616163232
order12222244444488884444444888888222444888888888888888824444444444488
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-11-1-11111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111-1-11-1-11111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ9111111111111-1-1-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-11-11-1-11111-1-11-1
χ13111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-1111-1
χ14111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1-11
χ15111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-1-1-11111-1-1-11
χ16111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1111-1-1-1-1111-1
χ1722222222-222-20000-222-222-2000000-222-2-2-222-2-200000000000000000000000000
χ1822222222-222-20000-222-222-2000000-2-2-222-2-2-22200000000000000000000000000
χ1922222222-222-20000-2-2-2-2-2-2-2000000222-2-22-2-22200000000000000000000000000
χ2022222222-222-20000-2-2-2-2-2-2-20000002-2-222222-2-200000000000000000000000000
χ21222222-2-22-2-222222200-200-2-2-2-2-222000000000000000000000000002-22-2000000
χ22222222-2-22-2-222222200-200-2-2-2-2-22200000000000000000000000000-22-22000000
χ23222222-2-22-2-22-2-2-2-2200-200-22222-2-2000000000000000000000000002-2-22000000
χ24222222-2-22-2-22-2-2-2-2200-200-22222-2-200000000000000000000000000-222-2000000
χ252222-2-2222-2-222222-222-2-2-2222-2-2-2-220000-20000-2-2220000000000000000000000
χ262222-2-2222-2-222222-2-2-2-222222-2-2-2-2-200002000022-2-20000000000000000000000
χ272222-2-2222-2-22-2-2-2-2-222-2-2-22-2-2222220000-2000022-2-20000000000000000000000
χ282222-2-2222-2-22-2-2-2-2-2-2-2-2222-2-22222-2000020000-2-2220000000000000000000000
χ292222-2-222-2-2-2-200002222-2-2-2000000-200002000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ302222-2-222-2-2-2-200002222-2-2-2000000-20000200000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ312222-2-222-2-2-2-200002-2-2222-200000020000-2000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ322222-2-222-2-2-2-200002-2-2222-200000020000-200000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ332222-2-2-2-222222222-200200-2-2-222-2-2000000000000000000000022-2-20000000000
χ342222-2-2-2-222222222-200200-2-2-222-2-20000000000000000000000-2-2220000000000
χ352222-2-2-2-22222-2-2-2-2-200200-222-2-22200000000000000000000002-2-220000000000
χ362222-2-2-2-22222-2-2-2-2-200200-222-2-2220000000000000000000000-222-20000000000
χ372-22-22-22-202-20i2i2−i2−i202i−2i02i−2i0i2−i2i2−i2i2−i20002i−2i0002-22−22−22−22−2i2−i2i2−i200000000000000
χ382-22-22-22-202-20i2i2−i2−i202i−2i02i−2i0i2−i2i2−i2i2−i2000−2i2i000-222−22−2−22−22−i2i2−i2i200000000000000
χ392-22-22-22-202-20i2i2−i2−i20−2i2i0−2i2i0i2−i2i2−i2i2−i20002i−2i000-22−22−222−22−2−i2i2−i2i200000000000000
χ402-22-22-22-202-20i2i2−i2−i20−2i2i0−2i2i0i2−i2i2−i2i2−i2000−2i2i0002-2−22−22−22−22i2−i2i2−i200000000000000
χ412-22-22-22-202-20−i2−i2i2i202i−2i02i−2i0−i2i2−i2i2−i2i20002i−2i0002-2−22−22−22−22−i2i2−i2i200000000000000
χ422-22-22-22-202-20−i2−i2i2i202i−2i02i−2i0−i2i2−i2i2−i2i2000−2i2i000-22−22−222−22−2i2−i2i2−i200000000000000
χ432-22-22-22-202-20−i2−i2i2i20−2i2i0−2i2i0−i2i2−i2i2−i2i20002i−2i000-222−22−2−22−22i2−i2i2−i200000000000000
χ442-22-22-22-202-20−i2−i2i2i20−2i2i0−2i2i0−i2i2−i2i2−i2i2000−2i2i0002-22−22−22−22−2−i2i2−i2i200000000000000
χ452-22-2-222-20-220i2i2−i2−i202i−2i0−2i2i0i2−i2−i2i2−i2i202-20002i−2i00−222−2i2−i2−i2i2−222−200000000000000
χ462-22-2-222-20-220i2i2−i2−i202i−2i0−2i2i0i2−i2−i2i2−i2i20-22000−2i2i00−222−2−i2i2i2−i22−2−2200000000000000
χ472-22-2-222-20-220i2i2−i2−i20−2i2i02i−2i0i2−i2−i2i2−i2i202-2000−2i2i002−2−22i2−i2−i2i22−2−2200000000000000
χ482-22-2-222-20-220i2i2−i2−i20−2i2i02i−2i0i2−i2−i2i2−i2i20-220002i−2i002−2−22−i2i2i2−i2−222−200000000000000
χ492-22-2-222-20-220−i2−i2i2i202i−2i0−2i2i0−i2i2i2−i2i2−i202-20002i−2i002−2−22−i2i2i2−i22−2−2200000000000000
χ502-22-2-222-20-220−i2−i2i2i202i−2i0−2i2i0−i2i2i2−i2i2−i20-22000−2i2i002−2−22i2−i2−i2i2−222−200000000000000
χ512-22-2-222-20-220−i2−i2i2i20−2i2i02i−2i0−i2i2i2−i2i2−i202-2000−2i2i00−222−2−i2i2i2−i2−222−200000000000000
χ522-22-2-222-20-220−i2−i2i2i20−2i2i02i−2i0−i2i2i2−i2i2−i20-220002i−2i00−222−2i2−i2−i2i22−2−2200000000000000
χ53444444-4-4-4-4-4-40000-4004004000000000000000000000000000000000000000000
χ544444-4-4-4-4-444-40000400-4004000000000000000000000000000000000000000000
χ5544-4-40000-40044-44-400000000000000000000000000000000000000000002i−2i2i−2i00
χ5644-4-40000-40044-44-40000000000000000000000000000000000000000000−2i2i−2i2i00
χ5744-4-40000-4004-44-4400000000000000000000000000000000000000000002i−2i−2i2i00
χ5844-4-40000-4004-44-440000000000000000000000000000000000000000000−2i2i2i−2i00
χ594-44-44-4-440-4402i22i2−2i2−2i20000000−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000
χ604-44-44-4-440-440−2i2−2i22i22i200000002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000
χ614-44-4-44-4404-402i22i2−2i2−2i20000000−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000
χ624-44-4-44-4404-40−2i2−2i22i22i200000002i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000
χ6388-8-80000800-800000000000000000000000000000000000000000000000000000
χ648-8-88000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000000
χ658-8-8800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000000

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