Finite Group Databasebeta

← Group #436207

Character table — Group #436207

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11111111111111112222222244444444444444444444444444448888888888888888888888161616161616161616161616
order12222222222222224444444422224444444488888888888888884444444444444488888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-222-2-20000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-2220000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-2220000000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-20000000000000000000000000000
χ21222-222-2222-2-2-2-2-2-222-2-2-22-220000000000002222-2-2-2-20000000000000000002i2i−2i−2i00000000000000002i−2i00
χ22222-222-2222-2-2-2-2-2-222-2-2-22-220000000000002222-2-2-2-2000000000000000000−2i−2i2i2i0000000000000000−2i2i00
χ23222-222-2222-2-2-2-2-2-222-2-2-22-22000000000000-2-2-2-222220000000000000000002i2i−2i−2i0000000000000000−2i2i00
χ24222-222-2222-2-2-2-2-2-222-2-2-22-22000000000000-2-2-2-22222000000000000000000−2i−2i2i2i00000000000000002i−2i00
χ2522-222-2-22-2-222-2-2-220000000000002i2i−2i−2i22-2-2i2i2−i2−i2i2i2−i2−i22222−2−2−2−200002i−2i00000000i2i2−i2−i222−2−2000000000000
χ2622-222-2-22-2-222-2-2-220000000000002i2i−2i−2i22-2-2−i2−i2i2i2−i2−i2i2i2−2−2−2−2222200002i−2i00000000−i2−i2i2i2−2−222000000000000
χ2722-222-2-22-2-222-2-2-220000000000002i2i−2i−2i-2-222i2i2−i2−i2i2i2−i2−i22222−2−2−2−20000−2i2i00000000−i2−i2i2i2−2−222000000000000
χ2822-222-2-22-2-222-2-2-220000000000002i2i−2i−2i-2-222−i2−i2i2i2−i2−i2i2i2−2−2−2−222220000−2i2i00000000i2i2−i2−i222−2−2000000000000
χ2922-222-2-22-2-222-2-2-22000000000000−2i−2i2i2i22-2-2i2i2−i2−i2i2i2−i2−i2−2−2−2−222220000−2i2i00000000i2i2−i2−i2−2−222000000000000
χ3022-222-2-22-2-222-2-2-22000000000000−2i−2i2i2i22-2-2−i2−i2i2i2−i2−i2i2i22222−2−2−2−20000−2i2i00000000−i2−i2i2i222−2−2000000000000
χ3122-222-2-22-2-222-2-2-22000000000000−2i−2i2i2i-2-222i2i2−i2−i2i2i2−i2−i2−2−2−2−2222200002i−2i00000000−i2−i2i2i222−2−2000000000000
χ3222-222-2-22-2-222-2-2-22000000000000−2i−2i2i2i-2-222−i2−i2i2i2−i2−i2i2i22222−2−2−2−200002i−2i00000000i2i2−i2−i2−2−222000000000000
χ3322-2-2-2-22-2222-22-2-22222-2-2-22-2000000000000000000002i2i−2i−2i2i2i−2i−2i0000002i2i−2i−2i0000000000000000002-20000
χ3422-2-2-2-22-2222-22-2-22222-2-2-22-2000000000000000000002i2i−2i−2i2i2i−2i−2i000000−2i−2i2i2i000000000000000000-220000
χ3522-2-2-2-22-2222-22-2-22222-2-2-22-200000000000000000000−2i−2i2i2i−2i−2i2i2i0000002i2i−2i−2i000000000000000000-220000
χ3622-2-2-2-22-2222-22-2-22222-2-2-22-200000000000000000000−2i−2i2i2i−2i−2i2i2i000000−2i−2i2i2i0000000000000000002-20000
χ372-222-2-2-222-22-222-2-22-222-2-2-22000000002i−2i2i−2i000000002-22-22-22-22i−2i00000000000000002i−2i2i−2i000000000000
χ382-222-2-2-222-22-222-2-22-222-2-2-22000000002i−2i2i−2i00000000-22-22-22-222i−2i0000000000000000−2i2i−2i2i000000000000
χ392-222-2-2-222-22-222-2-22-222-2-2-2200000000−2i2i−2i2i000000002-22-22-22-2−2i2i0000000000000000−2i2i−2i2i000000000000
χ402-222-2-2-222-22-222-2-22-222-2-2-2200000000−2i2i−2i2i00000000-22-22-22-22−2i2i00000000000000002i−2i2i−2i000000000000
χ412-222-2-2-222-22-222-2-2-22-2-2222-2000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000−2i2i0000000000002-22-20000000000000000
χ422-222-2-2-222-22-222-2-2-22-2-2222-2000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000−2i2i000000000000-22-220000000000000000
χ432-222-2-2-222-22-222-2-2-22-2-2222-200000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000002i−2i000000000000-22-220000000000000000
χ442-222-2-2-222-22-222-2-2-22-2-2222-200000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000002i−2i0000000000002-22-20000000000000000
χ452-22-2-2-2222-2-22-2-222-2222-22-2-20000000000002i−2i2i−2i−2i2i−2i2i000000000000002-22-200000000000000002i−2i000000
χ462-22-2-2-2222-2-22-2-222-2222-22-2-20000000000002i−2i2i−2i−2i2i−2i2i00000000000000-22-220000000000000000−2i2i000000
χ472-22-2-2-2222-2-22-2-222-2222-22-2-2000000000000−2i2i−2i2i2i−2i2i−2i000000000000002-22-20000000000000000−2i2i000000
χ482-22-2-2-2222-2-22-2-222-2222-22-2-2000000000000−2i2i−2i2i2i−2i2i−2i00000000000000-22-2200000000000000002i−2i000000
χ492-2-22222-22-2-2-2-22-222-2-22-222-222-2-22-22-20000000000000000000000000000002i−2i2i−2i00000000002i−2i00000000
χ502-2-22222-22-2-2-2-22-222-2-22-222-222-2-22-22-2000000000000000000000000000000−2i2i−2i2i0000000000−2i2i00000000
χ512-2-22222-22-2-2-2-22-222-2-22-222-2-2-222-22-220000000000000000000000000000002i−2i2i−2i0000000000−2i2i00000000
χ522-2-22222-22-2-2-2-22-222-2-22-222-2-2-222-22-22000000000000000000000000000000−2i2i−2i2i00000000002i−2i00000000
χ532-2-22222-22-2-2-2-22-22-222-22-2-2222-2-2-22-22000000000000000000000000002i−2i−2i2i0000000000002i−2i0000000000
χ542-2-22222-22-2-2-2-22-22-222-22-2-2222-2-2-22-2200000000000000000000000000−2i2i2i−2i000000000000−2i2i0000000000
χ552-2-22222-22-2-2-2-22-22-222-22-2-22-2-2222-22-2000000000000000000000000002i−2i−2i2i000000000000−2i2i0000000000
χ562-2-22222-22-2-2-2-22-22-222-22-2-22-2-2222-22-200000000000000000000000000−2i2i2i−2i0000000000002i−2i0000000000
χ572-2-22-2222-222-2-2-22-2000000002-22-200002i−2i−2i2i2−2−222−2−222−22−2−22−22002i−2i0000000000−i2i2i2−i2i2−i2−i2i2000000000000
χ582-2-22-2222-222-2-2-22-2000000002-22-200002i−2i−2i2i−222−2−222−2−22−222−22−2002i−2i0000000000i2−i2−i2i2−i2i2i2−i2000000000000
χ592-2-22-2222-222-2-2-22-2000000002-22-20000−2i2i2i−2i2−2−222−2−222−22−2−22−2200−2i2i0000000000i2−i2−i2i2−i2i2i2−i2000000000000
χ602-2-22-2222-222-2-2-22-2000000002-22-20000−2i2i2i−2i−222−2−222−2−22−222−22−200−2i2i0000000000−i2i2i2−i2i2−i2−i2i2000000000000
χ612-2-22-2222-222-2-2-22-200000000-22-2200002i−2i−2i2i2−2−222−2−22−22−222−22−200−2i2i0000000000−i2i2i2−i2−i2i2i2−i2000000000000
χ622-2-22-2222-222-2-2-22-200000000-22-2200002i−2i−2i2i−222−2−222−22−22−2−22−2200−2i2i0000000000i2−i2−i2i2i2−i2−i2i2000000000000
χ632-2-22-2222-222-2-2-22-200000000-22-220000−2i2i2i−2i2−2−222−2−22−22−222−22−2002i−2i0000000000i2−i2−i2i2i2−i2−i2i2000000000000
χ642-2-22-2222-222-2-2-22-200000000-22-220000−2i2i2i−2i−222−2−222−22−22−2−22−22002i−2i0000000000−i2i2i2−i2−i2i2i2−i2000000000000
χ652-2-2-222-2-22-2222-22-22-22-222-2-2000000000000000000002i−2i−2i2i2i−2i−2i2i00000000002-2-220000000000000000002i−2i
χ662-2-2-222-2-22-2222-22-22-22-222-2-2000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000-222-2000000000000000000−2i2i
χ672-2-2-222-2-22-2222-22-22-22-222-2-200000000000000000000−2i2i2i−2i−2i2i2i−2i00000000002-2-22000000000000000000−2i2i
χ682-2-2-222-2-22-2222-22-22-22-222-2-200000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000-222-20000000000000000002i−2i
χ694444-444-4-4-4-444-4-4-4000000004-4-440000000000000000000000000000000000000000000000000000000000
χ704444-444-4-4-4-444-4-4-400000000-444-40000000000000000000000000000000000000000000000000000000000
χ71444-444-4444-4-4-4-4-4-4-4-4444-44-400000000000000000000000000000000000000000000000000000000000000
χ72444-4-44-4-4-4-44-4-444400000000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ73444-4-44-4-4-4-44-4-44440000000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ7444-44-4-4-4-444-44-444-444-444-4-4-400000000000000000000000000000000000000000000000000000000000000
χ7544-44-4-4-4-444-44-444-4-4-44-4-444400000000000000000000000000000000000000000000000000000000000000
χ7644-4-44-444-4-4-4-4444-4000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ7744-4-44-444-4-4-4-4444-400000000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ7844-4-4-4-44-4444-44-4-44-4-4-4444-4400000000000000000000000000000000000000000000000000000000000000
χ794-4444-4-4-4-44-4-44-4440000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ804-4444-4-4-4-44-4-44-444000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ814-44-44-44-4-4444-44-4-400000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ824-44-44-44-4-4444-44-4-40000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ834-44-4-4-4444-4-44-4-4444-4-4-44-44400000000000000000000000000000000000000000000000000000000000000
χ844-4-4-444-4-44-4444-44-4-44-44-4-44400000000000000000000000000000000000000000000000000000000000000
χ854-4-4-4-44-44-44-4444-440000000000000000000022−22−2222−222222−22000000000000000000000000000000000000000000
χ864-4-4-4-44-44-44-4444-4400000000000000000000−222222−2222−22−2222000000000000000000000000000000000000000000

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