Finite Group Databasebeta

← Group #72262433

Character table — Group #72262433

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133
size1111224444448888888888888888888888888888881616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222244444444444444442222222224444444444444444442244444444444444444444444444444444444444444444448888888844448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1
χ91111111111111111-1-1-1-111111111-1-1-1-1111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-1111-11-11111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ101111111111111111-1-1-1-111111111-1-1-1-1111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-111-11-1111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ111111111111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ121111111111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-11-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-111
χ131111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-111111111111-11-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ141111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-11111111111-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ151111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-111111111111-11-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ161111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-11111111111-11-11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ171111-1-11-11-1-1111-1-111-1-11111-1-11111-1-1iiii−i−i−i−i-1-11-11-111-1-1-11-11-1ii−i−iiiii−i−i−i−i-1111-111-11-1-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-111-1-111-1-1i−i11-1-1ii−i−iii−i−iii−i−i1-1i−i1-1i−i
χ181111-1-11-11-1-1111-1-111-1-11111-1-11111-1-1iiii−i−i−i−i-1-11-11-111-1-1-11-11-1ii−i−iiiii−i−i−i−i-11-1-11-11-1-1111i−ii−i11-1-1ii−i−iii−i−i11-1-1-1-111-1-111i−i11-1-1ii−i−i−i−iii−i−iii-11−ii-11−ii
χ191111-1-11-11-1-1111-1-111-1-11111-1-11111-1-1iiii−i−i−i−i-1-11-11-1-1-111-11-11-1ii−i−iiiii−i−i−i−i-1111-11-111-1-1-1−ii−ii-1-111ii−i−i−i−iii11-1-111-1-111-1-1i−i-1-111−i−iiiii−i−iii−i−i-11−ii-11−ii
χ201111-1-11-11-1-1111-1-111-1-11111-1-11111-1-1iiii−i−i−i−i-1-11-11-1-1-111-11-11-1ii−i−iiiii−i−i−i−i-11-1-11-1-11-1111−ii−ii-1-111ii−i−i−i−iii11-1-1-1-111-1-111i−i-1-111−i−iii−i−iii−i−iii1-1i−i1-1i−i
χ211111-1-11-11-1-1111-1-111-1-11111-1-11111-1-1−i−i−i−iiiii-1-11-11-111-1-1-11-11-1−i−iii−i−i−i−iiiii-1111-111-11-1-1-1−ii−ii11-1-1−i−iii−i−iii11-1-111-1-111-1-1−ii11-1-1−i−iii−i−iii−i−iii1-1−ii1-1−ii
χ221111-1-11-11-1-1111-1-111-1-11111-1-11111-1-1−i−i−i−iiiii-1-11-11-111-1-1-11-11-1−i−iii−i−i−i−iiiii-11-1-11-11-1-1111−ii−ii11-1-1−i−iii−i−iii11-1-1-1-111-1-111−ii11-1-1−i−iiiii−i−iii−i−i-11i−i-11i−i
χ231111-1-11-11-1-1111-1-111-1-11111-1-11111-1-1−i−i−i−iiiii-1-11-11-1-1-111-11-11-1−i−iii−i−i−i−iiiii-1111-11-111-1-1-1i−ii−i-1-111−i−iiiii−i−i11-1-111-1-111-1-1−ii-1-111ii−i−i−i−iii−i−iii-11i−i-11i−i
χ241111-1-11-11-1-1111-1-111-1-11111-1-11111-1-1−i−i−i−iiiii-1-11-11-1-1-111-11-11-1−i−iii−i−i−i−iiiii-11-1-11-1-11-1111i−ii−i-1-111−i−iiiii−i−i11-1-1-1-111-1-111−ii-1-111ii−i−iii−i−iii−i−i1-1−ii1-1−ii
χ251111-1-11-11-1-1111-1-1-1-1111111-1-111-1-111iiii−i−i−i−i-1-11-1-1111-1-1-11-1-11ii−i−i−i−i−i−iiiii-111-1-1-11-11-111i−ii−i11-1-1ii−i−iii−i−i-1-11111-1-1-1-111−ii-1-111−i−iiiii−i−i−i−iii1-1−ii-11i−i
χ261111-1-11-11-1-1111-1-1-1-1111111-1-111-1-111iiii−i−i−i−i-1-11-1-1111-1-1-11-1-11ii−i−i−i−i−i−iiiii-11-11111-1-11-1-1i−ii−i11-1-1ii−i−iii−i−i-1-111-1-11111-1-1−ii-1-111−i−iii−i−iiiii−i−i-11i−i1-1−ii
χ271111-1-11-11-1-1111-1-1-1-1111111-1-111-1-111iiii−i−i−i−i-1-11-1-11-1-111-11-1-11ii−i−i−i−i−i−iiiii-111-1-1-1-111-111−ii−ii-1-111ii−i−i−i−iii-1-11111-1-1-1-111−ii11-1-1ii−i−iii−i−i−i−iii-11i−i1-1−ii
χ281111-1-11-11-1-1111-1-1-1-1111111-1-111-1-111iiii−i−i−i−i-1-11-1-11-1-111-11-1-11ii−i−i−i−i−i−iiiii-11-1111-11-11-1-1−ii−ii-1-111ii−i−i−i−iii-1-111-1-11111-1-1−ii11-1-1ii−i−i−i−iiiii−i−i1-1−ii-11i−i
χ291111-1-11-11-1-1111-1-1-1-1111111-1-111-1-111−i−i−i−iiiii-1-11-1-1111-1-1-11-1-11−i−iiiiiii−i−i−i−i-111-1-1-11-11-111−ii−ii11-1-1−i−iii−i−iii-1-11111-1-1-1-111i−i-1-111ii−i−i−i−iiiii−i−i1-1i−i-11−ii
χ301111-1-11-11-1-1111-1-1-1-1111111-1-111-1-111−i−i−i−iiiii-1-11-1-1111-1-1-11-1-11−i−iiiiiii−i−i−i−i-11-11111-1-11-1-1−ii−ii11-1-1−i−iii−i−iii-1-111-1-11111-1-1i−i-1-111ii−i−iii−i−i−i−iii-11−ii1-1i−i
χ311111-1-11-11-1-1111-1-1-1-1111111-1-111-1-111−i−i−i−iiiii-1-11-1-11-1-111-11-1-11−i−iiiiiii−i−i−i−i-111-1-1-1-111-111i−ii−i-1-111−i−iiiii−i−i-1-11111-1-1-1-111i−i11-1-1−i−iii−i−iiiii−i−i-11−ii1-1i−i
χ321111-1-11-11-1-1111-1-1-1-1111111-1-111-1-111−i−i−i−iiiii-1-11-1-11-1-111-11-1-11−i−iiiiiii−i−i−i−i-11-1111-11-11-1-1i−ii−i-1-111−i−iiiii−i−i-1-111-1-11111-1-1i−i11-1-1−i−iiiii−i−i−i−iii1-1i−i-11−ii
χ332222222222222222222222-2-2222222222222222222-2-2220000-2-2-222222222222222-2-2000000000000000000-2-2-2-20000-2-2-2-200000000-2-2000000000000000000000000
χ342222222222222222222222-2-222222222-2-2-2-2-2-2-2-222-2-2220000-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000022220000-2-2-2-20000000022000000000000000000000000
χ352222222222222222-2-2-2-222-2-22222-2-2-2-22222222222-2-2-2-20000-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2000022220000000022000000000000000000000000
χ362222222222222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-20000-2-2-2-2-2-2-2-2-222222222-2-200000000000000000022220000222200000000-2-2000000000000000000000000
χ37222222222222-2-2-2-20000-2-222-2-222000022-2-222-2-222-22000000-22-2002-22-2000000002-22020002200000000002-22-200000000-2-2-2-2000000000000002-22-2000000000000
χ38222222222222-2-2-2-20000-2-222-2-222000022-2-222-2-222-22000000-22-2002-22-2000000002-2-20-2000-2-200000000002-22-200000000222200000000000000-22-22000000000000
χ39222222222222-2-2-2-20000-2-222-2-2220000-2-222-2-22222-22000000-22-200-22-22000000002-2202000220000000000-22-2200000000-2-2-2-200000000000000-22-22000000000000
χ40222222222222-2-2-2-20000-2-222-2-2220000-2-222-2-22222-22000000-22-200-22-22000000002-2-20-2000-2-20000000000-22-22000000002222000000000000002-22-2000000000000
χ41222222222222-2-2-2-20000-2-2-2-2-2-222000022-2-222-2-2222-20000002-22002-22-200000000-22020200002200000000-22-22000000000000-2-2-2-2000000000000002-22-200000000
χ42222222222222-2-2-2-20000-2-2-2-2-2-222000022-2-222-2-2222-20000002-22002-22-200000000-220-20-20000-2-200000000-22-22000000000000222200000000000000-22-2200000000
χ43222222222222-2-2-2-20000-2-2-2-2-2-2220000-2-222-2-222222-20000002-2200-22-2200000000-220202000022000000002-22-2000000000000-2-2-2-200000000000000-22-2200000000
χ44222222222222-2-2-2-20000-2-2-2-2-2-2220000-2-222-2-222222-20000002-2200-22-2200000000-220-20-20000-2-2000000002-22-20000000000002222000000000000002-22-200000000
χ45222222222222-2-2-2-22222222222-2-2-2-2-2-200000000-2-2-22-2-22222-2-2222000000000000-2200002200000000-2-2-2-2000000002-22-200000000002-22-200000000000000000000
χ46222222222222-2-2-2-22222222222-2-2-2-2-2-200000000-2-2-22-2-2-2-2-2-2-2-2222000000000000-220000-2-2000000002222000000002-22-20000000000-22-2200000000000000000000
χ47222222222222-2-2-2-2222222-2-222-2-2-2-2-2-200000000-2-22-2-2-2000022-2220000000000002-20000000000222200000000-2-2-2-2-22-22000000000000002-22-20000000000000000
χ48222222222222-2-2-2-2222222-2-222-2-2-2-2-2-200000000-2-22-2-2-2000022-2220000000000002-20000000000-2-2-2-2000000002222-22-2200000000000000-22-220000000000000000
χ49222222222222-2-2-2-2-2-2-2-2222222-2-2222200000000-2-2-22222222-2-22-2-2000000000000-2200002200000000-2-2-2-200000000-22-220000000000-22-2200000000000000000000
χ50222222222222-2-2-2-2-2-2-2-2222222-2-2222200000000-2-2-2222-2-2-2-2-2-22-2-2000000000000-220000-2-200000000222200000000-22-2200000000002-22-200000000000000000000
χ51222222222222-2-2-2-2-2-2-2-222-2-222-2-2222200000000-2-22-222000022-2-2-20000000000002-20000000000222200000000-2-2-2-22-22-200000000000000-22-220000000000000000
χ52222222222222-2-2-2-2-2-2-2-222-2-222-2-2222200000000-2-22-222000022-2-2-20000000000002-20000000000-2-2-2-20000000022222-22-2000000000000002-22-20000000000000000
χ532222-2-22-22-2-2222-2-222-2-222-2-2-2-22222-2-22i2i2i2i−2i−2i−2i−2i-2-2-222-200002-222-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-2000000000000000000−2i−2i2i2i0000-2-22200000000−2i2i000000000000000000000000
χ542222-2-22-22-2-2222-2-222-2-222-2-2-2-22222-2-2−2i−2i−2i−2i2i2i2i2i-2-2-222-200002-222-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2-20000000000000000002i2i−2i−2i0000-2-222000000002i−2i000000000000000000000000
χ552222-2-22-22-2-2222-2-2-2-22222-2-2-2-222-2-2222i2i2i2i−2i−2i−2i−2i-2-2-22-2200002-22-222i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2-2000000000000000000−2i−2i2i2i000022-2-2000000002i−2i000000000000000000000000
χ562222-2-22-22-2-2222-2-2-2-22222-2-2-2-222-2-222−2i−2i−2i−2i2i2i2i2i-2-2-22-2200002-22-22−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i2-20000000000000000002i2i−2i−2i000022-2-200000000−2i2i000000000000000000000000
χ572222-2-22-22-2-22-2-2220000-2-222222200002i2i−2i−2i−2i−2i2i2i-2-2-2-2000000222002i−2i−2i2i00000000-2-220-20002-200000000002i−2i−2i2i00000000-2-222000000000000002i−2i−2i2i000000000000
χ582222-2-22-22-2-22-2-2220000-2-222222200002i2i−2i−2i−2i−2i2i2i-2-2-2-2000000222002i−2i−2i2i00000000-2-2-202000-2200000000002i−2i−2i2i0000000022-2-200000000000000−2i2i2i−2i000000000000
χ592222-2-22-22-2-22-2-2220000-2-22222220000−2i−2i2i2i2i2i−2i−2i-2-2-2-200000022200−2i2i2i−2i00000000-2-220-20002-20000000000−2i2i2i−2i00000000-2-22200000000000000−2i2i2i−2i000000000000
χ602222-2-22-22-2-22-2-2220000-2-22222220000−2i−2i2i2i2i2i−2i−2i-2-2-2-200000022200−2i2i2i−2i00000000-2-2-202000-220000000000−2i2i2i−2i0000000022-2-2000000000000002i−2i−2i2i000000000000
χ612222-2-22-22-2-22-2-2220000-2-2-2-2222200002i2i−2i−2i−2i−2i2i2i-2-222000000-2-2-2002i−2i−2i2i000000002202020000-2-200000000−2i2i2i−2i000000000000-2-222000000000000002i−2i−2i2i00000000
χ622222-2-22-22-2-22-2-2220000-2-2-2-2222200002i2i−2i−2i−2i−2i2i2i-2-222000000-2-2-2002i−2i−2i2i00000000220-20-200002200000000−2i2i2i−2i00000000000022-2-200000000000000−2i2i2i−2i00000000
χ632222-2-22-22-2-22-2-2220000-2-2-2-222220000−2i−2i2i2i2i2i−2i−2i-2-222000000-2-2-200−2i2i2i−2i000000002202020000-2-2000000002i−2i−2i2i000000000000-2-22200000000000000−2i2i2i−2i00000000
χ642222-2-22-22-2-22-2-2220000-2-2-2-222220000−2i−2i2i2i2i2i−2i−2i-2-222000000-2-2-200−2i2i2i−2i00000000220-20-2000022000000002i−2i−2i2i00000000000022-2-2000000000000002i−2i−2i2i00000000
χ652222-2-22-22-2-22-2-22222-2-22222-2-2-2-2-2-2220000000022-2-2-2222-2-22-2-22-20000000000002200002-200000000-2-222000000002-2-2200000000002-2-2200000000000000000000
χ662222-2-22-22-2-22-2-22222-2-22222-2-2-2-2-2-2220000000022-2-2-22-2-2222-2-22-2000000000000220000-220000000022-2-2000000002-2-220000000000-222-200000000000000000000
χ672222-2-22-22-2-22-2-22222-2-222-2-2-2-2-2-2-2-222000000002222-220000-2222-2000000000000-2-200000000002i−2i2i−2i00000000−2i−2i2i2i-222-2000000000000002i−2i−2i2i0000000000000000
χ682222-2-22-22-2-22-2-22222-2-222-2-2-2-2-2-2-2-222000000002222-220000-2222-2000000000000-2-20000000000−2i2i−2i2i000000002i2i−2i−2i-222-200000000000000−2i2i2i−2i0000000000000000
χ692222-2-22-22-2-22-2-222-2-2222222-2-2-2-222-2-20000000022-2-22-222-2-22-2-2-220000000000002200002-200000000-2-22200000000-222-20000000000-222-200000000000000000000
χ702222-2-22-22-2-22-2-222-2-2222222-2-2-2-222-2-20000000022-2-22-2-2-2222-2-2-22000000000000220000-220000000022-2-200000000-222-200000000002-2-2200000000000000000000
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Here i is the imaginary unit (i² = −1).