Finite Group Databasebeta

← Group #72287481

Character table — Group #72287481

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size112224444444444444488888888888888888888881616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464128128128128128128
order12244222224444488882444444444888888161616161616888888888888888888888888161616161622222244444444448888888888888816161616161616161616161632323232323232321616161632323232323232323232323244881616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ91111111111111-1-111-1-1-11-111-1-1-1-1-1111-1-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1-11111-1-1-1-11111-1-1-1-1iiiiiii−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1-11-1i−i
χ101111111111111-1-111-1-1-11-111-1-1-1-1-1111-1-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1-11111-1-1-1-11111-1-1-1-1iiiiiii−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−iii-1-111−i−i−i−iiiii-11-11−ii
χ111111111111111-1-111-1-1-11-111-1-1-1-1-1111-1-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii11-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−iiiiiiii11-1-1iiii−i−i−i−i1111-1-1-1-1−i−iii11-1-1iiii−i−i−i−i-11-11−ii
χ121111111111111-1-111-1-1-11-111-1-1-1-1-1111-1-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii11-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−iiiiiiii11-1-1iiii−i−i−i−i-1-1-1-11111ii−i−i-1-111−i−i−i−iiiii1-11-1i−i
χ131111111111111-1-111-1-1-11-111-1-1-1-1-1111-1-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i11-1-1-1-1-1-1-11111-1-1-1-11111iiiiiii−i−i−i−i−i−i−i11-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−i11-1-1−i−i−i−iiiii-11-11i−i
χ141111111111111-1-111-1-1-11-111-1-1-1-1-1111-1-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i11-1-1-1-1-1-1-11111-1-1-1-11111iiiiiii−i−i−i−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-11111−i−iii-1-111iiii−i−i−i−i1-11-1−ii
χ151111111111111-1-111-1-1-11-111-1-1-1-1-1111-1-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−iiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1-11-1−ii
χ161111111111111-1-111-1-1-11-111-1-1-1-1-1111-1-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−iiiiiiii11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111iiii−i−i−i−i-11-11i−i
χ17111111-1-111111111111-1-1-1-1-1111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111-1-11-11-111-1-111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-111-1-111-1-11-1-11-1-1
χ18111111-1-111111111111-1-1-1-1-1111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111-1-11-11-111-1-111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-111-111
χ19111111-1-111111111111-1-1-1-1-1111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-11-11-1-111-1-111-1-1-11111-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-111-111
χ20111111-1-111111111111-1-1-1-1-1111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-11-11-1-111-1-111-1-1-11111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-11-1-1
χ21111111-1-111111111111-1-1-1-1-1111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-111-11-11-1-111-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-111-1-111-111-1-1-1
χ22111111-1-111111111111-1-1-1-1-1111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-111-11-11-1-111-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1111
χ23111111-1-111111111111-1-1-1-1-1111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-11-11-111-1-111-1-1-1-1-11111-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1111
χ24111111-1-111111111111-1-1-1-1-1111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-11-11-111-1-111-1-1-1-1-11111-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1-1-1
χ25111111-1-111111-1-111-1-11-11-1-1-1-1-111111-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1-111-1-1-11-1111-1-1-1-111iii−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−iii1111-1-1-1-1ii−i−i-1-111ii−i−i−i−iii11-1-1−ii
χ26111111-1-111111-1-111-1-11-11-1-1-1-1-111111-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1-111-1-1-11-1111-1-1-1-111iii−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−iii-1-1-1-11111−i−iii11-1-1−i−iiiii−i−i-1-111i−i
χ27111111-1-111111-1-111-1-11-11-1-1-1-1-111111-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iii11-1-1-1-1-1111-11-1-1-11111-1-1−i−i−iiiiiiii−i−i−i−i-1-111ii−i−i−i−iii1111-1-1-1-1−i−iii-1-111ii−i−i−i−iii-1-111i−i
χ28111111-1-111111-1-111-1-11-11-1-1-1-1-111111-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iii11-1-1-1-1-1111-11-1-1-11111-1-1−i−i−iiiiiiii−i−i−i−i-1-111ii−i−i−i−iii-1-1-1-11111ii−i−i11-1-1−i−iiiii−i−i11-1-1−ii
χ29111111-1-111111-1-111-1-11-11-1-1-1-1-111111-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i11-1-1-1-1-1111-11-1-1-11111-1-1iii−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i1111-1-1-1-1ii−i−i-1-111−i−iiiii−i−i-1-111−ii
χ30111111-1-111111-1-111-1-11-11-1-1-1-1-111111-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i11-1-1-1-1-1111-11-1-1-11111-1-1iii−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i-1-1-1-11111−i−iii11-1-1ii−i−i−i−iii11-1-1i−i
χ31111111-1-111111-1-111-1-11-11-1-1-1-1-111111-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1-111-1-1-11-1111-1-1-1-111−i−i−iiiiiiii−i−i−i−i-1-111−i−iiiii−i−i1111-1-1-1-1−i−iii-1-111−i−iiiii−i−i11-1-1i−i
χ32111111-1-111111-1-111-1-11-11-1-1-1-1-111111-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1-111-1-1-11-1111-1-1-1-111−i−i−iiiiiiii−i−i−i−i-1-111−i−iiiii−i−i-1-1-1-11111ii−i−i11-1-1ii−i−i−i−iii-1-111−ii
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χ55222222-2-222222-2-222-2-22-22-2-2-2-2-222222-2-2-222-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000-2-222200000000000000000000000000000022-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
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χ60222222-2-2-2-22-2-22222222-22222-2-2-2-22-2-2-2-22-2-2-2-2-2-2-22-220000000000000000000022-222-222-2-222-2-222-2-222-2000000000000002-22-200000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.