Finite Group Databasebeta

← Group #72310453

Character table — Group #72310453

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145
size1122222224444444444444488888888888888888888816161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128
order1222222222222222222222222222222222222222444422222222222224444444444444444444422444444444444444444444444444444444444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1111111-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1111111-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111111-1-111111-1-11111111-1-1-111111-1-1-111-1-1-1-11111111111-11-1-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111111111111111111-1-111111-1-11111111-1-1-111111-1-1-111-1-1-1-11111111111-11-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ711111111111111111111111111111111111-1-111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1
χ811111111111111111111111111111111111-1-111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ91111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111111111111-1-1-1-11-11-111111-1-1-1-111-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ101111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111111111111-1-1-1-11-11-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111-1-1111111-1-11111-1-1-1-1-1-1-1-111-11-111-1-11111-1-1-1-1-1-111-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ121111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111-1-1111111-1-11111-1-1-1-1-1-1-1-111-11-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111-1-1-1-1
χ131111111111111111111111111111111-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1
χ141111111111111111111111111111111-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-111
χ151111111111111111111111111111111-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111
χ161111111111111111111111111111111-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ1711111111111-1-1-1-111-1-111-1-111111-1-1-1111111-1-1-11111111-1-1-1-11-1-111-11-11-1-11111-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i1-1-1-1ii−i−i-1-111ii−i−iii−i−iii−i−ii−ii−i
χ1811111111111-1-1-1-111-1-111-1-111111-1-1-1111111-1-1-11111111-1-1-1-11-1-111-11-11-1-11111-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii1-1-1-1−i−iii-1-111−i−iii−i−iii−i−iii−ii−ii
χ1911111111111-1-1-1-111-1-111-1-111111-1-1-1111111-1-1-11111111-1-1-1-11-1-1-1-1-11-11-1-1-1-111-1-111111111-1-1-1-1-11-111111111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1111ii−i−i-1-1-1-1ii−i−i−i−iii−i−iii−ii−ii
χ2011111111111-1-1-1-111-1-111-1-111111-1-1-1111111-1-1-11111111-1-1-1-11-1-1-1-1-11-11-1-1-1-111-1-111111111-1-1-1-1-11-111111111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1111−i−iii-1-1-1-1−i−iiiii−i−iii−i−ii−ii−i
χ2111111111111-1-1-1-111-1-111-1-111111-1-1-11111-1-1-1-1-111-1-1111-1-1-1-1-11111-11-1-11111-1-111-1-1-1-11111-11-11-1-11-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1111ii−i−i11-1-1−i−iiiii−i−i−i−iii−iii−i
χ2211111111111-1-1-1-111-1-111-1-111111-1-1-11111-1-1-1-1-111-1-1111-1-1-1-1-11111-11-1-11111-1-111-1-1-1-11111-11-11-1-11-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1111−i−iii11-1-1ii−i−i−i−iiiii−i−ii−i−ii
χ2311111111111-1-1-1-111-1-111-1-111111-1-1-11111-1-1-1-1-111-1-1111-1-1-1-1-111-1-1-11-1-111-1-1-1-11111111111-1-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-1-1ii−i−i1111−i−iii−i−iiiii−i−ii−i−ii
χ2411111111111-1-1-1-111-1-111-1-111111-1-1-11111-1-1-1-1-111-1-1111-1-1-1-1-111-1-1-11-1-111-1-1-1-11111111111-1-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1−i−iii1111ii−i−iii−i−i−i−iii−iii−i
χ2511111111111-1-1-1-111-1-111-1-111111-1-1-1-1-1-1-111-1-1-111111-1-111111-1-111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11111-1-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-111−i−iii11-1-1−i−iiiii−i−iii−i−i−ii−ii
χ2611111111111-1-1-1-111-1-111-1-111111-1-1-1-1-1-1-111-1-1-111111-1-111111-1-111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11111-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-111ii−i−i11-1-1ii−i−i−i−iii−i−iiii−ii−i
χ2711111111111-1-1-1-111-1-111-1-111111-1-1-1-1-1-1-111-1-1-111111-1-111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-1-1-11-11-11-111-1-1-1-11111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-1−i−iii1111−i−iii−i−iii−i−iiii−ii−i
χ2811111111111-1-1-1-111-1-111-1-111111-1-1-1-1-1-1-111-1-1-111111-1-111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-1-1-11-11-11-111-1-1-1-11111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-1ii−i−i1111ii−i−iii−i−iii−i−i−ii−ii
χ2911111111111-1-1-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-11111-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-1-1−i−iii-1-111ii−i−iii−i−i−i−iiii−i−ii
χ3011111111111-1-1-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-11111-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-1-1ii−i−i-1-111−i−iii−i−iiiii−i−i−iii−i
χ3111111111111-1-1-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-111-1-1-11-1-111-1-1-1-1111111-1-1-1-1-11111-1111-1-1-1-1-1-111-1-1111111iiii−i−i−i−i−i−i−i−iiiii1-111−i−iii-1-1-1-1ii−i−i−i−iiiii−i−i−iii−i
χ3211111111111-1-1-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-111-1-1-11-1-111-1-1-1-1111111-1-1-1-1-11111-1111-1-1-1-1-1-111-1-1111111−i−i−i−iiiiiiiii−i−i−i−i1-111ii−i−i-1-1-1-1−i−iiiii−i−i−i−iiii−i−ii
χ3322222222222222222222222222-2-22222222222-2-2-2-222-2222222-22-200-2-2-2-22-20022220000-2-2-2-2-20000-2-200000000-2-2000022-2-20000000000000000000000002-2000000000000000000
χ3422222222222222222222222222-2-22222222-2-22-2-2-2-2-2-2-22222222-2200-2-2-22-2200-2-2-2-20000-2-2-2-2-200002200000000-2-20000-2-222000000000000000000000000-22000000000000000000
χ3522222222222222222222222222-2-2222-2-2-2-2222-2-2-2-222-2-2-2-2-2-2-2-22-200-2-2-2-22-200222200002222-20000-2-200000000220000-2-222000000000000000000000000-22000000000000000000
χ3622222222222222222222222222-2-2222-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2-22-2200-2-2-22-2200-2-2-2-200002222-20000220000000022000022-2-20000000000000000000000002-2000000000000000000
χ372222222222222-2-2-2-222-2-2-2-22-2-2-2-222-2000000-2-2-22200-20000000002-2-2220002-2000022-2-2000020000002-2000000002-2000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i0000
χ382222222222222-2-2-2-222-2-2-2-22-2-2-2-222-2000000-2-2-22200-20000000002-2-2220002-2000022-2-2000020000002-2000000002-200000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i−2i2i0000
χ392222222222222-2-2-2-222-2-2-2-22-2-2-2-222-2000000-2-2-22200-2000000000-22-222000-220000-2-22200002000000-2200000000-22000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i0000
χ402222222222222-2-2-2-222-2-2-2-22-2-2-2-222-2000000-2-2-22200-2000000000-22-222000-220000-2-22200002000000-2200000000-2200000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i0000
χ4122222222222-2-222-2-2-2-2-2-2222-2-2-2-2-2-220000002222200-20000000002-222-20002-20000-2-2220000-2000000-22000000002-20000000000000022-2-2-2-222000000000000000000002-2-220000
χ4222222222222-2-222-2-2-2-2-2-2222-2-2-2-2-2-220000002222200-20000000002-222-20002-20000-2-2220000-2000000-22000000002-200000000000000-2-22222-2-200000000000000000000-222-20000
χ4322222222222-2-222-2-2-2-2-2-2222-2-2-2-2-2-220000002222200-2000000000-2222-2000-22000022-2-20000-20000002-200000000-220000000000000022-2-2-2-22200000000000000000000-222-20000
χ4422222222222-2-222-2-2-2-2-2-2222-2-2-2-2-2-220000002222200-2000000000-2222-2000-22000022-2-20000-20000002-200000000-2200000000000000-2-22222-2-2000000000000000000002-2-220000
χ4522222222222-2-2-2-222-2-222-2-2222-2-2-2-2-2222222-222-2-222-222-2-2-2-2-2-22002-22-2-220022-2-20000-2-2-2-220000-220000000022000022-2-2000000000000000000000000-22000000000000000000
χ4622222222222-2-2-2-222-2-222-2-2222-2-2-2-2-22222-2-2-222-2-2-2-2-222-2-2-2-222-2002-2222-200-2-2220000-2-2-2-2200002-200000000220000-2-2220000000000000000000000002-2000000000000000000
χ4722222222222-2-2-2-222-2-222-2-2222-2-2-2-2-2-2-2-2-222-222-2-222-2-2-22222-2-22002-22-2-220022-2-20000222220000-2200000000-2-20000-2-2220000000000000000000000002-2000000000000000000
χ4822222222222-2-2-2-222-2-222-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2222222-2002-2222-200-2-22200002222200002-200000000-2-2000022-2-2000000000000000000000000-22000000000000000000
χ49222222222-2-2222222-2-22222-2-2-2222-2-2000022-2222222-200000022222-2-2222222-2-2-2-222220000-20202-2-2-2-200002200-2-20000000000000000000000-2-200000000000000000000000000
χ50222222222-2-2222222-2-22222-2-2-2222-2-2000022-2222222-2000000222-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000-20-20-2-2-2220000-2-2002200000000000000000000002200000000000000000000000000
χ51222222222-2-2222222-2-22222-2-2-2222-2-20000-2-2-22222-2-2-2000000-2-2-222-2-22-2-2-222222222220000-20-20-222-2-20000-2-200-2-200000000000000000000002200000000000000000000000000
χ52222222222-2-2222222-2-22222-2-2-2222-2-20000-2-2-22222-2-2-2000000-2-2-2-2-2-2-22-2-2-2-2-22222-2-2-2-20000-20202222200002200220000000000000000000000-2-200000000000000000000000000
χ53222222222-2-2222222-2-22222-2-2-2-2-22-2-2000022-2-2-2-2-2222000000-22-20022-2-22-200-2-2-2-200000000220202200-2-222000000-2-200000000000000000000002-20000002-20000000000000000
χ54222222222-2-2222222-2-22222-2-2-2-2-22-2-2000022-2-2-2-2-2222000000-22-20022-2-22-200-2-2-2-2000000002-20-20220022-2-2000000220000000000000000000000-22000000-220000000000000000
χ55222222222-2-2222222-2-22222-2-2-2-2-22-2-20000-2-2-2-2-2-2-2-2-220000002-220022-22-220022220000000022020-2-200-2-222000000-2-20000000000000000000000-22000000-220000000000000000
χ56222222222-2-2222222-2-22222-2-2-2-2-22-2-20000-2-2-2-2-2-2-2-2-220000002-220022-22-22002222000000002-20-20-2-20022-2-20000002200000000000000000000002-20000002-20000000000000000
χ57222222222-2-222-2-2-2-2-2-2-2-2-2-2-222-2-22-220000002-2-2220020000000002-22-220002-2000022-2-20000-2000000-2200000000-220000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i2i−2i00000000
χ58222222222-2-222-2-2-2-2-2-2-2-2-2-2-222-2-22-220000002-2-2220020000000002-22-220002-2000022-2-20000-2000000-2200000000-22000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i−2i2i00000000
χ59222222222-2-222-2-2-2-2-2-2-2-2-2-2-222-2-22-220000002-2-222002000000000-222-22000-220000-2-2220000-20000002-2000000002-20000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i00000000
χ60222222222-2-222-2-2-2-2-2-2-2-2-2-2-222-2-22-220000002-2-222002000000000-222-22000-220000-2-2220000-20000002-2000000002-2000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i00000000
χ61222222222-2-2-2-222-2-222-2-222-222-2-2-22-2000000-222220020000000002-2-2-2-20002-20000-2-222000020000002-200000000-2200000022-2-2-2-2220000000000000000000000002-2-2200000000
χ62222222222-2-2-2-222-2-222-2-222-222-2-2-22-2000000-222220020000000002-2-2-2-20002-20000-2-222000020000002-200000000-22000000-2-22222-2-2000000000000000000000000-222-200000000
χ63222222222-2-2-2-222-2-222-2-222-222-2-2-22-2000000-22222002000000000-22-2-2-2000-22000022-2-200002000000-22000000002-200000022-2-2-2-222000000000000000000000000-222-200000000
χ64222222222-2-2-2-222-2-222-2-222-222-2-2-22-2000000-22222002000000000-22-2-2-2000-22000022-2-200002000000-22000000002-2000000-2-22222-2-20000000000000000000000002-2-2200000000
χ65222222222-2-2-2-2-2-2222222-2-2-2-2-222-2220000222-2-22222-20000002-2-2222-2-22-2-222-2-222-2-2-2-2000020202-22220000-2-200-2-20000000000000000000000-2200000000000000000000000000
χ66222222222-2-2-2-2-2-2222222-2-2-2-2-222-2220000222-2-22222-20000002-2-2-2-22-2-22-2-2-2-2-2-2222222000020-20-2-22-2-2000022002200000000000000000000002-200000000000000000000000000
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Here i is the imaginary unit (i² = −1).