Finite Group Databasebeta

← Group #72331045

Character table — Group #72331045

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111122222222222222222222222222444444444444444444444444448888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232
order12222222222222222222222222222222222222222222222222222222222222222222222244442222224444444444444444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ121111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ131111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ141111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ151111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ161111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1711111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1811111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ1911111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ2011111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ2111111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii−i−iii−i−iiiii−i−i−i−iii
χ2211111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−iii−i−iii−i−i−i−iiiii−i−i
χ2311111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−i−iii−i−iii−i−iiiii−i−i
χ2411111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−iii−i−i−i−iii
χ2511111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111ii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii
χ2611111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i
χ2711111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i
χ2811111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iii
χ2911111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ3011111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ3111111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ3211111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ332222222222222-2-2-2-222222222-2-2-2-22-2-2-2-2-2-2222-2-2-2-22222222222-2-2222-2-2-2-222-2-2-2-222-2-222-2-22-20000000000002-2000022-2-222-2-2000000000000000000000000000000000000000000000000
χ342222222222222-2-2-2-222222222-2-2-2-22-2-2-2-2-2-2222-2-2-2-22222222222-2-2222-2-2-2-222-2-2-2-2-2-222-2-222-22000000000000-220000-2-222-2-222000000000000000000000000000000000000000000000000
χ352222222222222-2-2-2-222222222-2-2-2-22-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-22-2-22222-2-2222222-2-222-2-22-20000000000002-20000-2-222-2-222000000000000000000000000000000000000000000000000
χ362222222222222-2-2-2-222222222-2-2-2-22-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-22-2-22222-2-22222-2-222-2-222-22000000000000-22000022-2-222-2-2000000000000000000000000000000000000000000000000
χ372222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-222-2-2-2-2-2-2222222-2-222-2-2-22000000000000-22000022-2-2-2-222000000000000000000000000000000000000000000000000
χ382222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-222-2-2-2-2-2-22222-2-222-2-2222-20000000000002-20000-2-22222-2-2000000000000000000000000000000000000000000000000
χ392222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222-2-2-2222222-2-2-2-222-2-222-2-2-22000000000000-220000-2-22222-2-2000000000000000000000000000000000000000000000000
χ402222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222-2-2-2222222-2-2-2-2-2-222-2-2222-20000000000002-2000022-2-2-2-222000000000000000000000000000000000000000000000000
χ41222222222-2-2-2-222222222-2-2-2-22222222-2-2-2-222-222-2-200000000-2-2-2-2-20000000000002222-2-2-2-222000000000000-2-2000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i00000000
χ42222222222-2-2-2-222222222-2-2-2-22222222-2-2-2-222-222-2-200000000-2-2-2-2-20000000000002222-2-2-2-222000000000000-2-200000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i−2i2i00000000
χ43222222222-2-2-2-222222222-2-2-2-22222222-2-2-2-222-222-2-200000000-2-2-2-2-2000000000000-2-2-2-22222-2-200000000000022000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i00000000
χ44222222222-2-2-2-222222222-2-2-2-22222222-2-2-2-222-222-2-200000000-2-2-2-2-2000000000000-2-2-2-22222-2-20000000000002200000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i00000000
χ45222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-22-2-22200000000222220000000000002222-2-2-2-2-2-2000000000000220000000000000000000022-2-2-2-222000000000000000000002-2-2200000000
χ46222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-22-2-22200000000222220000000000002222-2-2-2-2-2-20000000000002200000000000000000000-2-22222-2-200000000000000000000-222-200000000
χ47222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-22-2-2220000000022222000000000000-2-2-2-2222222000000000000-2-20000000000000000000022-2-2-2-22200000000000000000000-222-200000000
χ48222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-22-2-2220000000022222000000000000-2-2-2-2222222000000000000-2-200000000000000000000-2-22222-2-2000000000000000000002-2-2200000000
χ49222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22-2-2222222-2-2-22200000000-2-222-200000000000022-2-2-2-2222-2000000000000-220000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i2i−2i000000000000
χ50222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22-2-2222222-2-2-22200000000-2-222-200000000000022-2-2-2-2222-2000000000000-22000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i−2i2i000000000000
χ51222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22-2-2222222-2-2-22200000000-2-222-2000000000000-2-22222-2-2-220000000000002-20000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i000000000000
χ52222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22-2-2222222-2-2-22200000000-2-222-2000000000000-2-22222-2-2-220000000000002-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i000000000000
χ53222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-22222-2-2222-2-20000000022-2-2200000000000022-2-2-2-222-220000000000002-200000000000022-2-2-2-2220000000000000000000000002-2-22000000000000
χ54222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-22222-2-2222-2-20000000022-2-2200000000000022-2-2-2-222-220000000000002-2000000000000-2-22222-2-2000000000000000000000000-222-2000000000000
χ55222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-22222-2-2222-2-20000000022-2-22000000000000-2-22222-2-22-2000000000000-2200000000000022-2-2-2-222000000000000000000000000-222-2000000000000
χ56222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-22222-2-2222-2-20000000022-2-22000000000000-2-22222-2-22-2000000000000-22000000000000-2-22222-2-20000000000000000000000002-2-22000000000000
χ57222222-2-2-222-2-2222222-2-222-2-222-2-2-2-2-222-2-22-222-222000000002-2-2-2-200000000000000000000000022000022-2-20000-2-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000002i−2i2i−2i
χ58222222-2-2-222-2-2222222-2-222-2-222-2-2-2-2-222-2-22-222-222000000002-2-2-2-200000000000000000000000022000022-2-20000-2-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i
χ59222222-2-2-222-2-2222222-2-222-2-222-2-2-2-2-222-2-22-222-222000000002-2-2-2-2000000000000000000000000-2-20000-2-22200002200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000−2i2i−2i2i
χ60222222-2-2-222-2-2222222-2-222-2-222-2-2-2-2-222-2-22-222-222000000002-2-2-2-2000000000000000000000000-2-20000-2-2220000220000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000002i−2i2i−2i
χ61222222-2-2-222-2-22222-2-22222-2-2-2-222-2-2-222-2-2-22-2-22-2-200000000-22222000000000000000000000000220000-2-2220000-2-200000000000000002-22-2-22-2200000000000000000000000000002-2-22
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Here i is the imaginary unit (i² = −1).