Finite Group Databasebeta

← Group #72317229

Character table — Group #72317229

Order 8192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149
size112224444448888888888888816161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128256256256256
order12222222222222222222222222222222222222222222444444444444444422222224444444444444444444444444444444444444444444444444444444444444444444444888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ51111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1111111-1-111111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1111111-1-111111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ71111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ911111111111111111-1-11111-1-11111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-11-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−i
χ1011111111111111111-1-11111-1-11111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-11-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−ii−ii
χ1111111111111111111-1-11111-1-11111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiii−ii−i
χ1211111111111111111-1-11111-1-11111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−ii−ii
χ1311111111111111111-1-11111-1-11111111-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iii−ii−ii
χ1411111111111111111-1-11111-1-11111111-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−ii−ii−i
χ1511111111111111111-1-11111-1-11111111-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1ii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−ii−ii
χ1611111111111111111-1-11111-1-11111111-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiii−ii−i
χ17111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1111-1-1-1-11111111-1-1-1-111-1-111-1-111-1-1-11-111-11-11-111-1-111-1-111-1-111-1-111-1-1ii−i−i−i−iiii−ii−ii−ii−ii−ii−ii−ii−ii−i−ii
χ18111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1111-1-1-1-11111111-1-1-1-111-1-111-1-111-1-1-11-111-11-11-111-1-111-1-111-1-111-1-111-1-1−i−iiiii−i−i−ii−ii−ii−ii−ii−ii−ii−ii−iii−i
χ19111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-11-1-111-1-11111111-1-1-1-111-1-111-1-1-1-111-1-111-11-11-1111-1-111-1-1-1-111-1-111-1-111ii−i−i−i−iii−ii−ii−ii−ii−ii−ii−ii−iii−i−ii
χ20111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-11-1-111-1-11111111-1-1-1-111-1-111-1-1-1-111-1-111-11-11-1111-1-111-1-1-1-111-1-111-1-111−i−iiiii−i−ii−ii−ii−ii−ii−ii−ii−ii−i−iii−i
χ21111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1-11-111-1-1-11-1111111-1-1-1-1-1-111-1-11111-1-1-11-111-11-11-1-1-111-1-11111-1-1-1-111-1-111ii−i−i−i−iiii−ii−i−ii−iii−ii−i−ii−ii−iii−i
χ22111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1-11-111-1-1-11-1111111-1-1-1-1-1-111-1-11111-1-1-11-111-11-11-1-1-111-1-11111-1-1-1-111-1-111−i−iiiii−i−i−ii−iii−ii−i−ii−iii−ii−ii−i−ii
χ23111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1-11-1-1-111-11-1111111-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11-1-111-1-111-1-11111-1-111-1-1ii−i−i−i−iii−ii−iii−ii−i−ii−iii−ii−i−iii−i
χ24111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1-11-1-1-111-11-1111111-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11-1-111-1-111-1-11111-1-111-1-1−i−iiiii−i−ii−ii−i−ii−iii−ii−i−ii−iii−i−ii
χ25111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11-11-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-111-1-1111-1-1
χ26111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11-11-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-111-1-111-1-111-1-111-1-1-111
χ27111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-11-11-1-11-111-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-1-111-1-111-1-111-111-1-1
χ28111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-11-11-1-11-111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-111-1-111-1-111-1-11-1-111
χ29111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-111-1-11111-1-1-1-11111-1-11-11-1-11-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-11-1-11-111-11-1-11-111-1-1-111
χ30111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-111-1-11111-1-1-1-11111-1-11-11-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-111-11-1-11-111-11-1-1111-1-1
χ31111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-111-1-11111-1-111-1-11-11-1-11-111-1-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-111-11-1-11-111-11-1-11-1-111
χ32111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-111-1-11111-1-111-1-11-11-1-11-111-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111111-1-11-111-11-1-11-111-111-1-1
χ3322222222222222222222222-2-2222-2-2-2-2222-2-2222222-22222222222222222220000-222-2-2-2-2-2-2-2-222222222220000-200-2000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ3422222222222222222222222-2-2222-2-2-2-2222-2-2-2-2-2-222-2222222-2-2-2-2222222-2-20000-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000-200-2000000222222220000000000000000000000000000000000000000
χ352222222222222222222-2-2-2-2222-2-22222222220000222-2-222-2-20000-2-2-2-222000000-200-2-22222-2-2-2-2000000000000-200-2000000000000000000000000000000000022220000-2-2-2-200000000
χ362222222222222222222-2-2-2-2222-2-22222222220000222-2-222-2-20000-2-2-2-222000000-200-2-22222-2-2-2-2000000000000-200-20000000000000000000000000000000000-2-2-2-20000222200000000
χ372222222222222222222-2-2-2-2-2-22-2-2-2-2-2-2222-2-2000022-2-2-222-2-20000-2-2-2-22200000020022-2-2-2-222-2-200000000000020020000000000000000000000000000000000000022220000-2-2-2-20000
χ382222222222222222222-2-2-2-2-2-22-2-2-2-2-2-2222-2-2000022-2-2-222-2-20000-2-2-2-22200000020022-2-2-2-222-2-2000000000000200200000000000000000000000000000000000000-2-2-2-2000022220000
χ3922222222222222222-2-2222222222-2-2-2-2-2-2-22222-2-2-2-2222222222-2-2-2-2-2-2-2-22-2000022-2-2-2-2-222-2-2-2-22222-2-2-2-200002002000000-2-2-2-222220000000000000000000000000000000000000000
χ4022222222222222222-2-2222222222-2-2-2-2-2-2-222-2-222-2-22222222-2-222-2-2-2-2-2-2-2200002-22-2-2-2-222-2-2-2-2-2-2-2-22222000020020000002222-2-2-2-20000000000000000000000000000000000000000
χ4122222222222222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2220000-2-22-2-222-2-200002222-2-2000000-20022-2-2222222000000000000-200-2000000000000000000000000000000000000002i2i−2i−2i0000−2i−2i2i2i0000
χ4222222222222222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2220000-2-22-2-222-2-200002222-2-2000000-20022-2-2222222000000000000-200-200000000000000000000000000000000000000−2i−2i2i2i00002i2i−2i−2i0000
χ4322222222222222222-2-2-2-2-2-2-2-22-2-22222-2-2-2-2-20000-2-2-2-2-222-2-200002222-2-2000000200-2-222-2-2-2-222000000000000200200000000000000000000000000000000002i2i−2i−2i0000−2i−2i2i2i00000000
χ4422222222222222222-2-2-2-2-2-2-2-22-2-22222-2-2-2-2-20000-2-2-2-2-222-2-200002222-2-2000000200-2-222-2-2-2-22200000000000020020000000000000000000000000000000000−2i−2i2i2i00002i2i−2i−2i00000000
χ45222222222222222-2-222222222-2-2-222222222222-2-2-2-2222-2-2-2-222-2-22222-2-2-2200002-22-2-2-2-2-2-222-2-222-2-222-2-20000200-2000000-2-222-2-2220000000000000000000000000000000000000000
χ46222222222222222-2-222222222-2-2-2222222222-2-222-2-2222-2-2-2-2-2-2222222-2-22-2000022-2-2-2-2-2-2-222-2-2-2-222-2-2220000200-200000022-2-222-2-20000000000000000000000000000000000000000
χ47222222222222222-2-222-2-2-2-222-2222222222220000-2-22-2-2-2-2220000-2-2-2-2-2-2000000-20022-2-2-2-2-2-222000000000000-2002000000000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000
χ48222222222222222-2-222-2-2-2-222-2222222222220000-2-22-2-2-2-2220000-2-2-2-2-2-2000000-20022-2-2-2-2-2-222000000000000-200200000000000000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i0000
χ49222222222222222-2-222-2-2-2-2-2-2-222-2-2-2-2222-2-20000-2-2-2-2-2-2-2220000-2-2-2-2-2-2000000200-2-222222222000000000000200-200000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i00000000
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χ51222222222222222-2-2-2-22222-2-2-2-2-22222-2-2-2-2-2222222-222-2-2-2-22222-2-2-2-222-2-20000-2-2-2-2-2-2-222222222-2-2-2-2220000-2002000000-2-22222-2-20000000000000000000000000000000000000000
χ52222222222222222-2-2-2-22222-2-2-2-2-22222-2-2-2-2-2-2-2-2-222-222-2-2-2-2-2-2-2-2-2-2-2-222220000-222-2-2-2-2222222-2-22222-2-20000-200200000022-2-2-2-2220000000000000000000000000000000000000000
χ53222222222222222-2-2-2-2-2-2-2-222-222-2-2-2-2-2-2-2220000222-2-2-2-2220000222222000000-200-2-222-2-222-2-2000000000000-200200000000000000000000000000000000002-2-220000-222-200000000
χ54222222222222222-2-2-2-2-2-2-2-222-222-2-2-2-2-2-2-2220000222-2-2-2-2220000222222000000-200-2-222-2-222-2-2000000000000-20020000000000000000000000000000000000-222-200002-2-2200000000
χ55222222222222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2000022-2-2-2-2-222000022222200000020022-2-222-2-2-2-2000000000000200-2000000000000000000000000000000000000002-2-220000-222-20000
χ56222222222222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2000022-2-2-2-2-222000022222200000020022-2-222-2-2-2-2000000000000200-200000000000000000000000000000000000000-222-200002-2-220000
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χ6022222-2-222222-2-2-2000022222200000000002-22-2-22-22-2-2-200002-2-220000-2200-2-200200-22-220000-222-20000-2200-2-2-220020-2002-2200002-200-22-220000-220000000000000000000000000000
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χ6322222-2-222222-2-2-2000022222200000000002-2-22-222-2-2-2-20000-22-2200002-20000222002-22-200002-2-220000-222200-20-200-202-20-220000-222-20000-22-22000000000000000000000000000000
χ6422222-2-222222-2-2-2000022222200000000002-2-22-222-2-2-2-20000-22-2200002-20000-2-22002-22-200002-2-220000-22-2-200-2020020-220-220000-22-2200002-22-2000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).