Finite Group Databasebeta

← Group #72337740

Character table — Group #72337740

Order 8192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158
size11222444444448888888888816161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464646464646464646464646464128128128128128128128128128128128128128128128128256256256256256256
order12222222222222222222224422222222222444442222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444448888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111
χ5111111111111111111111111111111111111111111-1-1-1111-1-1-1-1-1-1111-1-1-1111-1-111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111-1-111-1-1-1-11111-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-1-1111-1-1-1-1-1-1111-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111-1-111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1
χ91111111111111111-1-11111111111111-1-1-1111111-1-111-111-111-111-111-111-11111111111111-1-1-1-1-1-11111-1-11111-1-11111-1-11111-11-11-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ101111111111111111-1-11111111111111-1-1-1111111-1-111-111-111-111-111-111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111-11-11-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ111111111111111111-1-11111111111111-1-1-1111111-1-111-1-1-11-1-1111-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11-111111-1-1-1-111-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ121111111111111111-1-11111111111111-1-1-1111111-1-111-1-1-11-1-1111-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11-11-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1
χ131111111111111111-1-11111111111111-1-1-1111111-1-1-1-1111-1-1-11-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-1111-1-11111-1-1-1-1111111-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ141111111111111111-1-11111111111111-1-1-1111111-1-1-1-1111-1-1-11-1-1111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1111-1-1-11111111-1-1-1-111111111-1-111-1-1
χ151111111111111111-1-11111111111111-1-1-1111111-1-1-1-11-1-1111-1-1-11-1-1111-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-11-111-111-1-111-1-11111-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ161111111111111111-1-11111111111111-1-1-1111111-1-1-1-11-1-1111-1-1-11-1-1111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-11-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-111
χ1711111-1111-1111-1-1-111-1-1-1-1-1-111111-1-1111-1111-1-1-1-11-111-111-1-11-111-111-1-1111-1-1-1-111ii−i−i-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-11-11-1-11i−i1-1111-1111-1-1-1ii−i−i1111-1-11-1-111-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−i
χ1811111-1111-1111-1-1-111-1-1-1-1-1-111111-1-1111-1111-1-1-1-11-111-111-1-11-111-111-1-1111-1-1-1-111−i−iii-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-11-11-1-11−ii1-1111-1111-1-1-1−i−iii1111-1-11-1-111-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii
χ1911111-1111-1111-1-1-111-1-1-1-1-1-111111-1-1111-1111-1-1-1-11-11-11-1-1111-11-11-1-111111-1-111-1-1ii−i−i-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-1i−i1-111-11-1-1-1111ii−i−i1111-1-1-111-1-11ii−i−i−i−iiiii−i−i−i−iiii−i−ii−ii
χ2011111-1111-1111-1-1-111-1-1-1-1-1-111111-1-1111-1111-1-1-1-11-11-11-1-1111-11-11-1-111111-1-111-1-1−i−iii-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-1−ii1-111-11-1-1-1111−i−iii1111-1-1-111-1-11−i−iiiii−i−i−i−iiiii−i−i−iii−ii−i
χ2111111-1111-1111-1-1-111-1-1-1-1-1-111111-1-1111-1111-1-1-1-1-11-11-11-111-11-11-11-11111111-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-11-1i−i-11-1-11-111-1111ii−i−i111-1111-1-1-1-11−i−iiiii−i−iii−i−i−i−iii−iii−i−ii
χ2211111-1111-1111-1-1-111-1-1-1-1-1-111111-1-1111-1111-1-1-1-1-11-11-11-111-11-11-11-11111111-1-1-1-1−i−iii-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-11-1−ii-11-1-11-111-1111−i−iii111-1111-1-1-1-11ii−i−i−i−iii−i−iiiii−i−ii−i−iii−i
χ2311111-1111-1111-1-1-111-1-1-1-1-1-111111-1-1111-1111-1-1-1-1-11-1-11-11-1-1-11-1-11-11-1-1111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11-11-11i−i-11-1-1-11-1-11-1-1-1ii−i−i111-111-11111-1−i−iii−i−iiiii−i−iii−i−i−ii−iii−i
χ2411111-1111-1111-1-1-111-1-1-1-1-1-111111-1-1111-1111-1-1-1-1-11-1-11-11-1-1-11-1-11-11-1-1111111111−i−iii-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11-11-11−ii-11-1-1-11-1-11-1-1-1−i−iii111-111-11111-1ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii
χ2511111-1111-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1111-1-11-1-11-111-1-11-1-11-11111-1-1-1-111ii−i−i11111111-1-11111-1-11111-1-1-1-1-1-1-11111-1-1i−i1-1-1-11-1-1-11-111ii−i−i-1-1-1-111-111-1-11ii−i−iii−i−i−i−iiiii−i−i−ii−ii−ii
χ2611111-1111-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1111-1-11-1-11-111-1-11-1-11-11111-1-1-1-111−i−iii11111111-1-11111-1-11111-1-1-1-1-1-1-11111-1-1−ii1-1-1-11-1-1-11-111−i−iii-1-1-1-111-111-1-11−i−iii−i−iiiii−i−i−i−iiii−ii−ii−i
χ2711111-1111-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1111-1-1-111-11-11-1-1-111-11-1111-1-111-1-1ii−i−i11111111-1-111-1-111-1-1-1-11111-1-1-111-1-111i−i1-1-1-1-1111-11-1-1ii−i−i-1-1-1-1111-1-111-1ii−i−i−i−iii−i−iii−i−iii−iii−ii−i
χ2811111-1111-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1111-1-1-111-11-11-1-1-111-11-1111-1-111-1-1−i−iii11111111-1-111-1-111-1-1-1-11111-1-1-111-1-111−ii1-1-1-1-1111-11-1-1−i−iii-1-1-1-1111-1-111-1−i−iiiii−i−iii−i−iii−i−ii−i−ii−ii
χ2911111-1111-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-111-1111-1-1-11-1-1111-1-1-11-111111-1-1-1-1ii−i−i111111-1-111-1-111-1-111-1-11111-1-1-1-1-11111i−i-11111-1-1-1-11-1-1ii−i−i-1-1-11-1-1-11111-1−i−iiiii−i−i−i−iii−i−iiii−i−iii−i
χ3011111-1111-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-111-1111-1-1-11-1-1111-1-1-11-111111-1-1-1-1−i−iii111111-1-111-1-111-1-111-1-11111-1-1-1-1-11111−ii-11111-1-1-1-11-1-1−i−iii-1-1-11-1-1-11111-1ii−i−i−i−iiiii−i−iii−i−i−iii−i−ii
χ3111111-1111-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-111-111-1111-11-111-1111-11111111111ii−i−i111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1i−i-1111-11111-111ii−i−i-1-1-11-1-11-1-1-1-11−i−iii−i−iii−i−iiiii−i−ii−ii−i−ii
χ3211111-1111-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-111-111-1111-11-111-1111-11111111111−i−iii111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1−ii-1111-11111-111−i−iii-1-1-11-1-11-1-1-1-11ii−i−iii−i−iii−i−i−i−iii−ii−iii−i
χ33222222222222222200222222222-2-22-2000-22222200220220-2-20220220-2-20-2-2-22222-2-20000000000-2-2-2-200-2-2-2-200222200-2-2-22020-2000-2-200-2-200220000000000000000000000000000000000000000
χ34222222222222222200222222222-2-22-2000-22222200220-2-20220220-2-20220-2-2-222-2-2220000000000-2-2-2-200222200-2-2-2-200-2-2-220-202000-2-2002200-2-20000000000000000000000000000000000000000
χ35222222222222222200222222222-2-22-2000-22222200-2-20220220-2-20220220-2-2-2-2-222220000000000222200-2-2-2-200-2-2-2-200-2-2-2-202020002200-2-200-2-20000000000000000000000000000000000000000
χ36222222222222222200222222222-2-22-2000-22222200-2-20-2-20-2-20-2-20-2-20-2-20-2-2-2-2-2-2-2-2-20000000000222200222200222200-2-2-2-20-20-200022002200220000000000000000000000000000000000000000
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χ3822222222222222220022-2-2-2-22-2-2-2-2-2-2000-22-2-22-200002-220002002-22000222-200-2-20000000000000000-2-22222000000-2-222-202200200002-2-2-20000-220000000-22-2000-22-20000000000000000000000
χ3922222222222222220022-2-2-2-22-2-2-2-2-2-2000-22-2-22-20000-22-2000200-22-2000222-20022000000000000000022-2-2-2-2000000-2-222-20-2-20020000-22220000-2200000002-22000-22-20000000000000000000000
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χ5022222222222222222222-2-2-2-22-2-222-2222222-2-22-222000-22-2000000-22-2000-2-2200-2-200000022-2-2-2-2000000-2-2-2-2-2-2000000-2-22002-2000000002222000000002-2-2000-2220000000000000000000000000
χ51222222222222222222-2-222-2-2-22-222-222222-22-2-22222-220000002-22000000-22-22200000000-2-222-2-2222222000000000000-22-2-22000000-2-2-2-2000000000000-22-22-2-20000000000000000000000000000
χ52222222222222222222-2-222-2-2-22-222-222222-22-2-2222-22-2000000-22-2000000-22-2-2-200000000-2-222-2-2-2-2-2-2-2-2000000000000-22-22-20000002222000000000000-22-2-2220000000000000000000000000000
χ53222222222222222222-2-2-2-222-2-2222222222-2-22-2-2220000002-2-20000002-2-22-2-20000-2-20000-2-2-2-222000000000000-2-2-2-2-2-22-2-200002-2000000000022220000-2-2200000022-20000000000000000000000
χ54222222222222222222-2-2-2-222-2-2222222222-2-22-2-222000000-222000000-2222-2-20000220000-2-2-2-2220000000000002222222-2-20000-220000000000-2-2-2-20000-2-22000000-2-220000000000000000000000
χ552222222222222222-2-222-2-2-2-22-2-222-22-2-2-222-2-22-2-2-20002-2-20000002-2-2000-2-220022000000-2-222220000002222-2-2000000-2-2200-2-200000000-2-22200000000-222000-2220000000000000000000000000
χ562222222222222222-2-222-2-2-2-22-2-222-22-2-2-222-2-22-2-2-2000-222000000-222000-2-2200-2-2000000-2-22222000000-2-2-2-222000000-2-2200220000000022-2-200000000-2220002-2-20000000000000000000000000
χ572222222222222222-2-2-2-222-2-2-22-222-22-2-2-22-22-2-22-2-22-2-20000002-2-2000000-22-2220000000022-2-2222222-2-2000000000000-22-2-2-2000000-2-2220000000000002-22-2220000000000000000000000000000
χ582222222222222222-2-2-2-222-2-2-22-222-22-2-2-22-22-2-22-2-2-222000000-222000000-22-2-2-20000000022-2-222-2-2-2-222000000000000-22-22200000022-2-20000000000002-222-2-20000000000000000000000000000
χ592222222222222222-2-2-2-2-2-222-2-222222-2-2-22-2-22-2-2-2-20000002-220000002-222-2-20000-2-200002222-2-2000000000000-2-2-2-2222-2-2000022000000000022-2-2000022-2000000-2-220000000000000000000000
χ602222222222222222-2-2-2-2-2-222-2-222222-2-2-22-2-22-2-2-2-2000000-22-2000000-22-22-2-200002200002222-2-20000000000002222-2-22-2-20000-2-20000000000-2-222000022-200000022-20000000000000000000000
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Here i is the imaginary unit (i² = −1).