Finite Group Databasebeta

← Group #322011

Character table — Group #322011

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order12222222444444448888888888888888448888888888888888222244444444444488888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-11-11
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11-1-11
χ1722222222222-2-2-2-220000000022222222-2-20000-2-2-2-200000000000022-2-222-2-2000000000000000000000000
χ1822222222222-2-2-2-220000000022222222-2-20000-2-2-2-2000000000000-2-222-2-222000000000000000000000000
χ1922222222222-2-2-2-2200000000-2-2-2-2-2-2-2-2-2-20000222200000000000022-2-2-2-222000000000000000000000000
χ2022222222222-2-2-2-2200000000-2-2-2-2-2-2-2-2-2-200002222000000000000-2-22222-2-2000000000000000000000000
χ2122222222-2-2-22222-22222222200000000-2-2-2-2-2-200000000000022-2-200000000-2-22200000000000000000000
χ2222222222-2-2-22222-22222222200000000-2-2-2-2-2-2000000000000-2-2220000000022-2-200000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2-2-200000000-2-22222000000000000222200000000-2-2-2-200000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-200000000-2-22222000000000000-2-2-2-200000000222200000000000000000000
χ25222-2-22-2-22-2-2000022222−2−2−2−22222-2-2-2-20022−2−200002222−2−2−2−20000002i−2i002i−2i0000i2i2−i2−i2i2i2−i2−i2000000000000
χ26222-2-22-2-22-2-2000022222−2−2−2−22222-2-2-2-20022−2−200002222−2−2−2−2000000−2i2i00−2i2i0000−i2−i2i2i2−i2−i2i2i2000000000000
χ27222-2-22-2-22-2-2000022222−2−2−2−2-2-2-2-222220022−2−20000−2−2−2−222220000002i−2i00−2i2i0000i2i2−i2−i2−i2−i2i2i2000000000000
χ28222-2-22-2-22-2-2000022222−2−2−2−2-2-2-2-222220022−2−20000−2−2−2−22222000000−2i2i002i−2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ29222-2-22-2-22-2-200002−2−2−2−222222222-2-2-2-200−2−2220000−2−2−2−222220000002i−2i002i−2i0000−i2−i2i2i2−i2−i2i2i2000000000000
χ30222-2-22-2-22-2-200002−2−2−2−222222222-2-2-2-200−2−2220000−2−2−2−22222000000−2i2i00−2i2i0000i2i2−i2−i2i2i2−i2−i2000000000000
χ31222-2-22-2-22-2-200002−2−2−2−22222-2-2-2-2222200−2−22200002222−2−2−2−20000002i−2i00−2i2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ32222-2-22-2-22-2-200002−2−2−2−22222-2-2-2-2222200−2−22200002222−2−2−2−2000000−2i2i002i−2i0000i2i2−i2−i2−i2−i2i2i2000000000000
χ3322-22-2-22-20002-22-202i2i−2i−2i2i2i−2i−2ii2i2−i2−i2i2i2−i2−i2000000i2i2−i2−i222−2−222−2−2002-2000000002i−2i000000000022−2−2i2i2−i2−i20000
χ3422-22-2-22-20002-22-202i2i−2i−2i2i2i−2i−2ii2i2−i2−i2i2i2−i2−i2000000i2i2−i2−i222−2−222−2−200-2200000000−2i2i0000000000−2−222−i2−i2i2i20000
χ3522-22-2-22-20002-22-202i2i−2i−2i2i2i−2i−2i−i2−i2i2i2−i2−i2i2i2000000−i2−i2i2i2−2−222−2−222002-2000000002i−2i0000000000−2−222−i2−i2i2i20000
χ3622-22-2-22-20002-22-202i2i−2i−2i2i2i−2i−2i−i2−i2i2i2−i2−i2i2i2000000−i2−i2i2i2−2−222−2−22200-2200000000−2i2i000000000022−2−2i2i2−i2−i20000
χ3722-22-2-22-20002-22-20−2i−2i2i2i−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2000000i2i2−i2−i2−2−222−2−222002-200000000−2i2i0000000000−2−222i2i2−i2−i20000
χ3822-22-2-22-20002-22-20−2i−2i2i2i−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2000000i2i2−i2−i2−2−222−2−22200-22000000002i−2i000000000022−2−2−i2−i2i2i20000
χ3922-22-2-22-20002-22-20−2i−2i2i2i−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000000−i2−i2i2i222−2−222−2−2002-200000000−2i2i000000000022−2−2−i2−i2i2i20000
χ4022-22-2-22-20002-22-20−2i−2i2i2i−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000000−i2−i2i2i222−2−222−2−200-22000000002i−2i0000000000−2−222i2i2−i2−i20000
χ412-22-22-22-20002-2-2202i−2i2i−2i2i−2i2i−2ii2−i2i2−i2i2−i2i2−i2000000i2−i2i2−i22−22−22−22−22-20000000000002i−2i00000000i2−i2i2−i22−22−20000
χ422-22-22-22-20002-2-2202i−2i2i−2i2i−2i2i−2ii2−i2i2−i2i2−i2i2−i2000000i2−i2i2−i22−22−22−22−2-22000000000000−2i2i00000000−i2i2−i2i2−22−220000
χ432-22-22-22-20002-2-2202i−2i2i−2i2i−2i2i−2i−i2i2−i2i2−i2i2−i2i2000000−i2i2−i2i2−22−22−22−222-20000000000002i−2i00000000−i2i2−i2i2−22−220000
χ442-22-22-22-20002-2-2202i−2i2i−2i2i−2i2i−2i−i2i2−i2i2−i2i2−i2i2000000−i2i2−i2i2−22−22−22−22-22000000000000−2i2i00000000i2−i2i2−i22−22−20000
χ452-22-22-22-20002-2-220−2i2i−2i2i−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2000000i2−i2i2−i2−22−22−22−222-2000000000000−2i2i00000000i2−i2i2−i2−22−220000
χ462-22-22-22-20002-2-220−2i2i−2i2i−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2000000i2−i2i2−i2−22−22−22−22-220000000000002i−2i00000000−i2i2−i2i22−22−20000
χ472-22-22-22-20002-2-220−2i2i−2i2i−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2000000−i2i2−i2i22−22−22−22−22-2000000000000−2i2i00000000−i2i2−i2i22−22−20000
χ482-22-22-22-20002-2-220−2i2i−2i2i−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2000000−i2i2−i2i22−22−22−22−2-220000000000002i−2i00000000i2−i2i2−i2−22−220000
χ492-2-2222-2-2-22-2000022−2−22−222−22-2-22-222-2002−22−200002−2−22−222−200002i−2i002i−2i000000i2−i2i2−i2i2−i2i2−i2000000000000
χ502-2-2222-2-2-22-2000022−2−22−222−22-2-22-222-2002−22−200002−2−22−222−20000−2i2i00−2i2i000000−i2i2−i2i2−i2i2−i2i2000000000000
χ512-2-2222-2-2-22-2000022−2−22−222−2-222-22-2-22002−22−20000−222−22−2−2200002i−2i00−2i2i000000i2−i2i2−i2−i2i2−i2i2000000000000
χ522-2-2222-2-2-22-2000022−2−22−222−2-222-22-2-22002−22−20000−222−22−2−220000−2i2i002i−2i000000−i2i2−i2i2i2−i2i2−i2000000000000
χ532-2-2222-2-2-22-200002−222−22−2−222-2-22-222-200−22−220000−222−22−2−2200002i−2i002i−2i000000−i2i2−i2i2−i2i2−i2i2000000000000
χ542-2-2222-2-2-22-200002−222−22−2−222-2-22-222-200−22−220000−222−22−2−220000−2i2i00−2i2i000000i2−i2i2−i2i2−i2i2−i2000000000000
χ552-2-2222-2-2-22-200002−222−22−2−22-222-22-2-2200−22−2200002−2−22−222−200002i−2i00−2i2i000000−i2i2−i2i2i2−i2i2−i2000000000000
χ562-2-2222-2-2-22-200002−222−22−2−22-222-22-2-2200−22−2200002−2−22−222−20000−2i2i002i−2i000000i2−i2i2−i2−i2i2−i2i2000000000000
χ572-2-2-2-222222-222-2-2-22-2-222-2-22000000002-2-222-20000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000
χ582-2-2-2-222222-222-2-2-22-2-222-2-22000000002-2-222-2000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000
χ592-2-2-2-222222-222-2-2-2-222-2-222-2000000002-22-2-220000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000
χ602-2-2-2-222222-222-2-2-2-222-2-222-2000000002-22-2-22000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000
χ612-2-2-2-2222-2-2222-2-222-2-222-2-222-2-222-2-22-222-2-222-2-222-2-222-2-22000000000000000000000000000000000000
χ622-2-2-2-2222-2-2222-2-222-2-222-2-22-222-2-222-2-222-2-22-222-2-222-2-222-2000000000000000000000000000000000000
χ632-2-2-2-2222-2-2222-2-22-222-2-222-22-2-222-2-22-22-222-22-2-22-222-2-222-2000000000000000000000000000000000000
χ642-2-2-2-2222-2-2222-2-22-222-2-222-2-222-2-222-2-22-222-2-222-22-2-222-2-22000000000000000000000000000000000000
χ652-2-2-2-2222-2-22-2-2222000000002-2-222-2-222-20000-222-20000000000000000000000002-2-222-2-22000000000000
χ662-2-2-2-2222-2-22-2-2222000000002-2-222-2-222-20000-222-2000000000000000000000000-222-2-222-2000000000000
χ672-2-2-2-2222-2-22-2-222200000000-222-2-222-22-200002-2-220000000000000000000000002-2-22-222-2000000000000
χ682-2-2-2-2222-2-22-2-222200000000-222-2-222-22-200002-2-22000000000000000000000000-222-22-2-22000000000000
χ6944444444-4-4-4-4-4-4-4-40000000000000000440000000000000000000000000000000000000000000000000000
χ70444-4-44-4-4-4440000-422222222−22−22−22−220000000000−22−222222000000000000000000000000000000000000000000000000
χ71444-4-44-4-4-4440000-4−22−22−22−222222222200000000002222−22−22000000000000000000000000000000000000000000000000
χ7244-44-4-44-4000-44-440000000002i22i2−2i2−2i22i22i2−2i2−2i2000000−2i2−2i22i22i200000000000000000000000000000000000000000000
χ7344-44-4-44-4000-44-44000000000−2i2−2i22i22i2−2i2−2i22i22i20000002i22i2−2i2−2i200000000000000000000000000000000000000000000
χ7444-4-44-4-44000000002i22i2−2i2−2i2−2i2−2i22i22i22i22i2−2i2−2i2−2i2−2i22i22i2000000000022-2-2-2-222000000000000000000000000000000000000
χ7544-4-44-4-44000000002i22i2−2i2−2i2−2i2−2i22i22i2−2i2−2i22i22i22i22i2−2i2−2i20000000000-2-22222-2-2000000000000000000000000000000000000
χ7644-4-44-4-4400000000−2i2−2i22i22i22i22i2−2i2−2i22i22i2−2i2−2i2−2i2−2i22i22i20000000000-2-22222-2-2000000000000000000000000000000000000
χ7744-4-44-4-4400000000−2i2−2i22i22i22i22i2−2i2−2i2−2i2−2i22i22i22i22i2−2i2−2i2000000000022-2-2-2-222000000000000000000000000000000000000
χ784-444-4-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i200000000002-22-2-22-22000000000000000000000000000000000000
χ794-444-4-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i2−2i22i2−2i22i22i2−2i22i2−2i20000000000-22-222-22-2000000000000000000000000000000000000
χ804-444-4-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i22i2−2i22i2−2i2−2i22i2−2i22i20000000000-22-222-22-2000000000000000000000000000000000000
χ814-444-4-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i200000000002-22-2-22-22000000000000000000000000000000000000
χ824-44-44-44-4000-444-40000000002i2−2i22i2−2i22i2−2i22i2−2i2000000−2i22i2−2i22i200000000000000000000000000000000000000000000
χ834-44-44-44-4000-444-4000000000−2i22i2−2i22i2−2i22i2−2i22i20000002i2−2i22i2−2i200000000000000000000000000000000000000000000
χ844-4-4444-4-44-440000-422−22−2222−222222−220000000000−2222−2222000000000000000000000000000000000000000000000000
χ854-4-4444-4-44-440000-4−222222−2222−22−2222000000000022−2222−22000000000000000000000000000000000000000000000000
χ864-4-4-4-444444-4-4-444-40000000000000000-440000000000000000000000000000000000000000000000000000

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