Finite Group Databasebeta

← Group #72311639

Character table — Group #72311639

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11111111222222224444444444444444448888888888888888888888888888888816161616161616161616161616161616161616161616161616163232323232323232
order1222444422444444222222444444444444222244444444444444444444444444442222244444444444448888888844444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111111111111111-1-1-1-1
χ91111111111-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-11-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11-11-1-11-11-1-111-1-1111111-1-1-1-1-1-111-1-111
χ111111111111-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ121111111111-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-111-11-111-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ131111111111-1-1-1-111-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11-11-1-11-11-111-1-111-1-1-1-1-1-11111-1-111-1-111
χ141111111111-1-1-1-111-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11-11-1-11-11-1-111-1-111-1-1-1-1111111-1-111-1-1
χ151111111111-1-1-1-111-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ161111111111-1-1-1-111-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-11-111-1-1-11111-1-11111-1-1-1-111-1-1-1-111
χ171111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-11-1-1-11-111-11-11-11-111-1-111-1-11-11-11-11-1
χ181111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-11-11-11-11-1-11-11-11-1111-1-111-1-1-11-11-11-11
χ191111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-11-1-111-111-11-11-1-11-11-1-111-1-1111-11-1-11-11
χ201111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-111-1-11-11-111-11-1-1-111-1-111-11-111-11-1
χ211111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1111111-1-111-1-111-11-1-1-11-111-11-11-11-1-1-111-1-111-11-11-11-11
χ221111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1111111-1-111-1-11-11-11-11-11-1-11-11-11-11-1-111-1-1111-11-11-11-1
χ231111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-111-1-111-11-1-111-111-11-11-1-11-1111-1-111-1-1-11-111-11-1
χ241111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-111-1-111-1-111-111-1-11-11-111-11-111-1-111-1-11-11-1-11-11
χ251111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-111111-1-1-1-11-1-111-1-1111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-111111-111-1-111-111-1-1-1-111-111-1-111-1
χ271111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1111-1-1-1-1-1111-1-11-111-1-1-11111-1-11-1-11-111-1
χ281111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-11-1-111-111-1-1-111-11-1-11-1-11111-1-1-111-11-1-11
χ291111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-111111-1-1-1-11-1-111-1-11-1-11111-1-1-111-1-111-1
χ301111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-111111-111-1-111-1-1-11111-1-11-1-111-1-11
χ311111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-1111-1-11-111-111-1-1-1-111-111-11-1-11
χ321111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-111-1-1-111-11-1-1111-1-1-1-1111-1-11-111-1
χ33222222222222222222-2-2-2-22222-2-2-2-222220000-2-2-2-20000000022220000-2-2-2-2-2-2-2-22000020000000000000000000000000000
χ34222222222222222222-2-2-2-22222-2-2-2-222220000-2-2-2-200000000-2-2-2-2000022222222-20000-20000000000000000000000000000
χ352222222222222222-2-222-2-2-2-22222-2-2-2-2-2-200002-22-200000000000000000000000000022000220000-2-2-2-20000000000000000
χ362222222222222222-2-222-2-2-2-22222-2-2-2-2-2-200002-22-2000000000000000000000000000-2-2000-2-2000022220000000000000000
χ372222222222222222-2-2-2-222-2-222-2-222-2-2-2-20000-22-220000000000000000000000000220002200-2-2-2-200000000000000000000
χ382222222222222222-2-2-2-222-2-222-2-222-2-2-2-20000-22-220000000000000000000000000-2-2000-2-200222200000000000000000000
χ392222222222-2-2-2-2222222-2-2-2-2-2-222-2-222-2-20000-22-220000000000000000000000000002-20002-20000-2-2220000000000000000
χ402222222222-2-2-2-2222222-2-2-2-2-2-222-2-222-2-20000-22-22000000000000000000000000000-22000-22000022-2-20000000000000000
χ412222222222-2-2-2-22222-2-222-2-2-2-2-2-22222-2-200002-22-200000000000000000000000002-20002-200-2-22200000000000000000000
χ422222222222-2-2-2-22222-2-222-2-2-2-2-2-22222-2-200002-22-20000000000000000000000000-22000-220022-2-200000000000000000000
χ432222222222-2-2-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-222000022220000000022220000-2-2-2-22222-20000-20000000000000000000000000000
χ442222222222-2-2-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-2220000222200000000-2-2-2-200002222-2-2-2-22000020000000000000000000000000000
χ452222-2-2-2-22222-2-2-2-222-2-2-2-2-2-22-22222-2-2220000-2-2220000000022-2-20000-2-222-2-22220000-20000000000000000000000000000
χ462222-2-2-2-22222-2-2-2-222-2-2-2-2-2-22-22222-2-2220000-2-22200000000-2-222000022-2-222-2-2-2000020000000000000000000000000000
χ472222-2-2-2-22222-2-2-2-2-2-222-2-2222-2-2-22222-2-200002-2-220000000000000000000000000002-2000-220000-22-220000000000000000
χ482222-2-2-2-22222-2-2-2-2-2-222-2-2222-2-2-22222-2-200002-2-22000000000000000000000000000-220002-200002-22-20000000000000000
χ492222-2-2-2-22222-2-2-2-2-2-2-2-222222-222-2-222-2-20000-222-200000000000000000000000002-2000-2200-22-2200000000000000000000
χ502222-2-2-2-22222-2-2-2-2-2-2-2-222222-222-2-222-2-20000-222-20000000000000000000000000-220002-2002-22-200000000000000000000
χ512222-2-2-2-222-2-222-2-22222-2-222-22-2-222-2-2-2-20000-222-200000000000000000000000000022000-2-20000-222-20000000000000000
χ522222-2-2-2-222-2-222-2-22222-2-222-22-2-222-2-2-2-20000-222-2000000000000000000000000000-2-20002200002-2-220000000000000000
χ532222-2-2-2-222-2-222-2-222-2-22222-2222-2-2-2-2-2-200002-2-22000000000000000000000000022000-2-200-222-200000000000000000000
χ542222-2-2-2-222-2-222-2-222-2-22222-2222-2-2-2-2-2-200002-2-220000000000000000000000000-2-200022002-2-2200000000000000000000
χ552222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2222222222000022-2-20000000022-2-20000-2-22222-2-2-2000020000000000000000000000000000
χ562222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2222222222000022-2-200000000-2-222000022-2-2-2-22220000-20000000000000000000000000000
χ5722-2-22i2i−2i−2i2-200002i−2i002-22-22i−2i002i−2i2i−2i002-2002-2000000002-22i−2i2-22i−2i002i−2i2-22i−2i000000000000000000000000002-22i−2i00000000
χ5822-2-22i2i−2i−2i2-200002i−2i002-22-22i−2i002i−2i2i−2i002-2002-2000000002-22i−2i-22−2i2i002i−2i-22−2i2i00000000000000000000000000-22−2i2i00000000
χ5922-2-22i2i−2i−2i2-200002i−2i002-22-22i−2i002i−2i2i−2i002-200-2200000000-22−2i2i2-22i−2i00−2i2i2-22i−2i00000000000000000000000000-22−2i2i00000000
χ6022-2-22i2i−2i−2i2-200002i−2i002-22-22i−2i002i−2i2i−2i002-200-2200000000-22−2i2i-22−2i2i00−2i2i-22−2i2i000000000000000000000000002-22i−2i00000000
χ6122-2-22i2i−2i−2i2-200002i−2i00-22-222i−2i00−2i2i−2i2i002-22-20000002-22i−2i00002-22i−2i2i−2i00-22−2i2i00000000000000000000002-22i−2i000000000000
χ6222-2-22i2i−2i−2i2-200002i−2i00-22-222i−2i00−2i2i−2i2i002-22-20000002-22i−2i0000-22−2i2i2i−2i002-22i−2i0000000000000000000000-22−2i2i000000000000
χ6322-2-22i2i−2i−2i2-200002i−2i00-22-222i−2i00−2i2i−2i2i002-2-22000000-22−2i2i00002-22i−2i−2i2i00-22−2i2i0000000000000000000000-22−2i2i000000000000
χ6422-2-22i2i−2i−2i2-200002i−2i00-22-222i−2i00−2i2i−2i2i002-2-22000000-22−2i2i0000-22−2i2i−2i2i002-22i−2i00000000000000000000002-22i−2i000000000000
χ6522-2-2−2i−2i2i2i2-20000−2i2i002-22-2−2i2i00−2i2i−2i2i002-2002-2000000002-2−2i2i2-2−2i2i00−2i2i2-2−2i2i000000000000000000000000002-2−2i2i00000000
χ6622-2-2−2i−2i2i2i2-20000−2i2i002-22-2−2i2i00−2i2i−2i2i002-2002-2000000002-2−2i2i-222i−2i00−2i2i-222i−2i00000000000000000000000000-222i−2i00000000
χ6722-2-2−2i−2i2i2i2-20000−2i2i002-22-2−2i2i00−2i2i−2i2i002-200-2200000000-222i−2i2-2−2i2i002i−2i2-2−2i2i00000000000000000000000000-222i−2i00000000
χ6822-2-2−2i−2i2i2i2-20000−2i2i002-22-2−2i2i00−2i2i−2i2i002-200-2200000000-222i−2i-222i−2i002i−2i-222i−2i000000000000000000000000002-2−2i2i00000000
χ6922-2-2−2i−2i2i2i2-20000−2i2i00-22-22−2i2i002i−2i2i−2i002-22-20000002-2−2i2i00002-2−2i2i−2i2i00-222i−2i00000000000000000000002-2−2i2i000000000000
χ7022-2-2−2i−2i2i2i2-20000−2i2i00-22-22−2i2i002i−2i2i−2i002-22-20000002-2−2i2i0000-222i−2i−2i2i002-2−2i2i0000000000000000000000-222i−2i000000000000
χ7122-2-2−2i−2i2i2i2-20000−2i2i00-22-22−2i2i002i−2i2i−2i002-2-22000000-222i−2i00002-2−2i2i2i−2i00-222i−2i0000000000000000000000-222i−2i000000000000
χ7222-2-2−2i−2i2i2i2-20000−2i2i00-22-22−2i2i002i−2i2i−2i002-2-22000000-222i−2i0000-222i−2i2i−2i002-2−2i2i00000000000000000000002-2−2i2i000000000000
χ7344444444-4-44444-4-400000000-4-40000000022-2-20000-2-2-2-22222000022-2-2000000000000000000000000000000000000000000
χ7444444444-4-44444-4-400000000-4-400000000-2-22200002222-2-2-2-20000-2-222000000000000000000000000000000000000000000
χ7544444444-4-4-4-4-4-4-4-400000000440000000022220000-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000000000
χ7644444444-4-4-4-4-4-4-4-4000000004400000000-2-2-2-20000222222220000-2-2-2-2000000000000000000000000000000000000000000
χ774444-4-4-4-4-4-444-4-44400000000-440000000022-2-20000-2-22222-2-20000-2-222000000000000000000000000000000000000000000
χ784444-4-4-4-4-4-444-4-44400000000-4400000000-2-222000022-2-2-2-222000022-2-2000000000000000000000000000000000000000000
χ794444-4-4-4-4-4-4-4-44444000000004-40000000022220000-2-222-2-2220000-2-2-2-2000000000000000000000000000000000000000000
χ804444-4-4-4-4-4-4-4-44444000000004-400000000-2-2-2-2000022-2-222-2-200002222000000000000000000000000000000000000000000
χ8144-4-44i4i−4i−4i4-400004i−4i004-4-44−4i4i004i−4i−4i4i00-44000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-44i4i−4i−4i4-400004i−4i00-444-4−4i4i00−4i4i4i−4i00-44000000000000000000000000000000000000000000000000000000000000000000
χ8344-4-44i4i−4i−4i-440000−4i4i4-40000000000004i−4i002-22-20000-22−2i2i-22−2i2i00002i−2i2i−2i000000000000000000000000000000000000000000
χ8444-4-44i4i−4i−4i-440000−4i4i4-40000000000004i−4i00-22-2200002-22i−2i2-22i−2i0000−2i2i−2i2i000000000000000000000000000000000000000000
χ8544-4-44i4i−4i−4i-440000−4i4i-44000000000000−4i4i002-2-220000-22−2i2i2-22i−2i00002i−2i−2i2i000000000000000000000000000000000000000000
χ8644-4-44i4i−4i−4i-440000−4i4i-44000000000000−4i4i00-222-200002-22i−2i-22−2i2i0000−2i2i2i−2i000000000000000000000000000000000000000000
χ8744-4-4−4i−4i4i4i4-40000−4i4i004-4-444i−4i00−4i4i4i−4i00-44000000000000000000000000000000000000000000000000000000000000000000
χ8844-4-4−4i−4i4i4i4-40000−4i4i00-444-44i−4i004i−4i−4i4i00-44000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4−4i−4i4i4i-4400004i−4i4-4000000000000−4i4i002-22-20000-222i−2i-222i−2i0000−2i2i−2i2i000000000000000000000000000000000000000000
χ9044-4-4−4i−4i4i4i-4400004i−4i4-4000000000000−4i4i00-22-2200002-2−2i2i2-2−2i2i00002i−2i2i−2i000000000000000000000000000000000000000000
χ9144-4-4−4i−4i4i4i-4400004i−4i-440000000000004i−4i002-2-220000-222i−2i2-2−2i2i0000−2i2i2i−2i000000000000000000000000000000000000000000
χ9244-4-4−4i−4i4i4i-4400004i−4i-440000000000004i−4i00-222-200002-2−2i2i-222i−2i00002i−2i−2i2i000000000000000000000000000000000000000000
χ938-88-88i−8i8i−8i008i−8i8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-88i−8i8i−8i00−8i8i-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8−8i8i−8i8i008i−8i-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8−8i8i−8i8i00−8i8i8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-888-8-880000000000000000000000000000000000000000000000000000004-44-40000000000000000000000000000000000
χ988-8-888-8-88000000000000000000000000000000000000000000000000000000-44-440000000000000000000000000000000000
χ998-8-88-888-80000000000000000000000000000000000000000000000000000004-4-440000000000000000000000000000000000
χ1008-8-88-888-8000000000000000000000000000000000000000000000000000000-444-40000000000000000000000000000000000

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