Finite Group Databasebeta

← Group #72310499

Character table — Group #72310499

Order 8192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161
size112224444444444444488888888888888881616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464646464646464646464646464128128128128128128128128128128128128128128128128128128128128128128128128256256256256
order12222222222222222222222222222222244222222222224444444444444444444442222224444444444444444444444444444444444444444444444444444444444444444444444444444444488884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ7111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111111111111-1-1-1-111111-1-1-11111-1-1-11-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−i
χ10111111111111111111111111111-1-1-1-111111-1-1-11111-1-1-11-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−ii−ii
χ11111111111111111111111111111-1-1-1-111111-1-1-11111-1-1-11-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−ii−ii
χ12111111111111111111111111111-1-1-1-111111-1-1-11111-1-1-11-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiii−ii−i
χ13111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1111-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iii−ii−ii
χ14111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1111-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−ii−ii−i
χ15111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iiii−ii−i
χ16111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−i−ii−ii
χ171111111111111-1-111-1-11111-1-1-1-111-1-1-1-111111-111-1-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11-1111-1-1-11111-1-1ii−i−iii−i−i111-1-1i−ii−i11-1-111-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−iii−i−i1111−i−iiiii−i−i-1-1-1-1−i−iii11-1-1
χ181111111111111-1-111-1-11111-1-1-1-111-1-1-1-111111-111-1-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11-1111-1-1-11111-1-1ii−i−iii−i−i111-1-1i−ii−i11-1-111-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i−i−iii-1-1-1-1ii−i−i−i−iii1111ii−i−i-1-111
χ191111111111111-1-111-1-11111-1-1-1-111-1-1-1-111111-111-1-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11-1111-1-1-11111-1-1−i−iii−i−iii111-1-1−ii−ii11-1-111-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iiiii−i−i-1-1-1-1−i−iiiii−i−i1111−i−iii-1-111
χ201111111111111-1-111-1-11111-1-1-1-111-1-1-1-111111-111-1-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11-1111-1-1-11111-1-1−i−iii−i−iii111-1-1−ii−ii11-1-111-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii−i−iii1111ii−i−i−i−iii-1-1-1-1ii−i−i11-1-1
χ211111111111111-1-111-1-11111-1-1-1-111-1-1-1-111111-1-1-1111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-1111-11-1-111-1-111ii−i−iii−i−i111-1-1−ii−ii-1-111-1-111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iiiii−i−i1111−i−iii−i−iii-1-1-1-1ii−i−i-1-111
χ221111111111111-1-111-1-11111-1-1-1-111-1-1-1-111111-1-1-1111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-1111-11-1-111-1-111ii−i−iii−i−i111-1-1−ii−ii-1-111-1-111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii−i−iii-1-1-1-1ii−i−iii−i−i1111−i−iii11-1-1
χ231111111111111-1-111-1-11111-1-1-1-111-1-1-1-111111-1-1-1111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-1111-11-1-111-1-111−i−iii−i−iii111-1-1i−ii−i-1-111-1-111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−iii−i−i-1-1-1-1−i−iii−i−iii1111ii−i−i11-1-1
χ241111111111111-1-111-1-11111-1-1-1-111-1-1-1-111111-1-1-1111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-1111-11-1-111-1-111−i−iii−i−iii111-1-1i−ii−i-1-111-1-111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i−i−iii1111ii−i−iii−i−i-1-1-1-1−i−iii-1-111
χ251111111111111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-1111-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-11-1-1-1-1-1-111ii−i−i−i−iii-111-11i−i−ii11-1-1-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1111−i−iii-1-1-1-11111ii−i−i-1-1-1-1−iii−i
χ261111111111111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-1111-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-11-1-1-1-1-1-111ii−i−i−i−iii-111-11i−i−ii11-1-1-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-1-1-1ii−i−i1111-1-1-1-1−i−iii1111i−i−ii
χ271111111111111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-1111-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-11-1-1-1-1-1-111−i−iiiii−i−i-111-11−iii−i11-1-1-1-111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1111ii−i−i-1-1-1-11111−i−iii-1-1-1-1i−i−ii
χ281111111111111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-1111-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-11-1-1-1-1-1-111−i−iiiii−i−i-111-11−iii−i11-1-1-1-111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1−i−iii1111-1-1-1-1ii−i−i1111−iii−i
χ291111111111111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-11-1-111-1111111-1-111-1-1-1-1-1-1-1-111111-1111-1-1-11-1-1-1-1-111-1-1ii−i−i−i−iii-111-11−iii−i-1-11111-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1111−i−iii-1-1-1-1-1-1-1-1ii−i−i1111i−i−ii
χ301111111111111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-11-1-111-1111111-1-111-1-1-1-1-1-1-1-111111-1111-1-1-11-1-1-1-1-111-1-1ii−i−i−i−iii-111-11−iii−i-1-11111-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1-1-1-1ii−i−i11111111−i−iii-1-1-1-1−iii−i
χ311111111111111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-11-1-111-1111111-1-111-1-1-1-1-1-1-1-111111-1111-1-1-11-1-1-1-1-111-1-1−i−iiiii−i−i-111-11i−i−ii-1-11111-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1111ii−i−i-1-1-1-1-1-1-1-1−i−iii1111−iii−i
χ321111111111111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-11-1-111-1111111-1-111-1-1-1-1-1-1-1-111111-1111-1-1-11-1-1-1-1-111-1-1−i−iiiii−i−i-111-11i−i−ii-1-11111-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1-1-1-1−i−iii11111111ii−i−i-1-1-1-1i−i−ii
χ3322222222222222222222222222222-2-22222222-222222-2-22-2-2-22222222222222222-2-222-2-22-2-2-2-2-2-2-2-2-2-2-2000000002-2-2-220000-2-2-2-222220000000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222-2-22222222-2-2-2-2-22-2-22-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222222-222-2-2-2-22222000000002-2-2-2200002222-2-2-2-20000000000000000000000000000000000000000000000000000
χ35222222222222222222222222222-2-22222222-2-222222-2222222222222222222222222-2-222-2222-2-222222200000000-2-2-2-2-20000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ36222222222222222222222222222-2-22222222-2-22-2-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-2-22-2-2-2-222-2-2-2-200000000-2-2-2-2-20000222222220000000000000000000000000000000000000000000000000000
χ37222222222222222222222-2-22222222222-2-2-222-2000022-2-222-20000-2-2-2-200000000-222200-220022-2-2000022222222-2-22-2-200000000000022220000-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ38222222222222222222222-2-22222222222-2-2-222-2000022-2-222-20000-2-2-2-200000000-222200-220022-2-20000-2-2-2-2-2-2-2-2-2-22-2-2000000000000-2-2-2-2000022222222000000000000000000000000000000000000
χ39222222222222222222222-2-2222222-2-222-2-2-222200002-22-2-2-220000-2-2-2-2000000002-22200-2-200-2-222000000000000-22-22-222-2-200000000000022-2-200000000-2-2-2-222220000000000000000000000000000
χ40222222222222222222222-2-2222222-2-222-2-2-222200002-22-2-2-220000-2-2-2-2000000002-22200-2-200-2-222000000000000-22-22-2-2-222000000000000-2-222000000002222-2-2-2-20000000000000000000000000000
χ41222222222222222222222-2-22222-2-22222-2-2-2-2-2-20000-22-2-222-20000-2-2-2-200000000-22-2-2002200-2-2-2-200000000000022-2222222000000000000222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ42222222222222222222222-2-22222-2-22222-2-2-2-2-2-20000-22-2-222-20000-2-2-2-200000000-22-2-2002200-2-2-2-200000000000022-222-2-2-2-2000000000000-2-2-2-200000000222222220000000000000000000000000000
χ43222222222222222222222-2-22222-2-2-2-222-2-2-2-2-220000-2-22-2-2-220000-2-2-2-2000000002-2-2-2002-200222200002222-2-2-2-22-22-2200000000000022-2-20000-2-2-2-22222000000000000000000000000000000000000
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χ472222222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2222-2-2-222-2-2-2-2-22-2-2-222-2-2-2-2-2-22222-2-2-2-2-22222-2-222-2222222-2-200000000-2-2-2220000-2-222-2-2220000000000000000000000000000000000000000000000000000
χ482222222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-222-2-2-22-2-2-2-2-222-2-2-2-2-2-2-2-22222-2222-22-22-222222-2-22200000000-2-2-222000022-2-222-2-20000000000000000000000000000000000000000000000000000
χ492222222222222-2-222-2-222-2-2-2-2-2-22222-2-2-2-2-222-2000022-2-222-20000222200000000-2-2-2-200-2-2002222000000000000-22-2-222i−2i−2i2i0000000000002i−2i−2i2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ502222222222222-2-222-2-222-2-2-2-2-2-22222-2-2-2-2-222-2000022-2-222-20000222200000000-2-2-2-200-2-2002222000000000000-22-2-22−2i2i2i−2i000000000000−2i2i2i−2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ512222222222222-2-222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-222200002-22-2-2-22000022220000000022-2-200-2200-2-2-2-200002i2i−2i−2i2i2i−2i−2i-2-22220000000000002i−2i2i−2i0000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ522222222222222-2-222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-222200002-22-2-2-22000022220000000022-2-200-2200-2-2-2-20000−2i−2i2i2i−2i−2i2i2i-2-2222000000000000−2i2i−2i2i00002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ532222222222222-2-222-2-222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000-22-2-222-20000222200000000-2-222002-200-2-22200002i2i−2i−2i−2i−2i2i2i2-222-20000000000002i−2i−2i2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ542222222222222-2-222-2-222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000-22-2-222-20000222200000000-2-222002-200-2-2220000−2i−2i2i2i2i2i−2i−2i2-222-2000000000000−2i2i2i−2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ552222222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220000-2-22-2-2-220000222200000000222200220022-2-200000000000022-2-2-22i−2i2i−2i0000000000002i−2i2i−2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ562222222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220000-2-22-2-2-220000222200000000222200220022-2-200000000000022-2-2-2−2i2i−2i2i000000000000−2i2i−2i2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
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Here i is the imaginary unit (i² = −1).