Finite Group Databasebeta

← Group #147376

Character table — Group #147376

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order122244448888888822222244444488888888888816161616161616161616161616161616224444444444888888888888161616161616161616161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1311111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1411111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ1511111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1611111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ171-1-11-1-1111111-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1ii−i−i1-1ii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ181-1-11-1-1111111-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1−i−iii1-1−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ191-1-11-1-1111111-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11ii−i−i-11−i−iiiii−i−i-1-111−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ201-1-11-1-1111111-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11−i−iii-11ii−i−i−i−iii-1-111ii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ211-1-11-1-1111111-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1ii−i−i1-1ii−i−iii−i−i11-1-1ii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii
χ221-1-11-1-1111111-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1−i−iii1-1−i−iii−i−iii11-1-1−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i
χ231-1-11-1-1111111-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11ii−i−i-11−i−iiiii−i−i-1-111−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii−i−iii
χ241-1-11-1-1111111-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11−i−iii-11ii−i−i−i−iii-1-111ii−i−i−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i
χ251-1-11-1-111-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1ii−i−i1-1−i−iii−i−iii-1-111ii−i−i-1-11111-1-1ii−i−i−i−iii-1-11111-1-1
χ261-1-11-1-111-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1−i−iii1-1ii−i−iii−i−i-1-111−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111
χ271-1-11-1-111-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii-11ii−i−i-11ii−i−i−i−iii11-1-1−i−iii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1
χ281-1-11-1-111-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii-11−i−iii-11−i−iiiii−i−i11-1-1ii−i−i-1-11111-1-1−i−iiiii−i−i11-1-1-1-111
χ291-1-11-1-111-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1ii−i−i1-1−i−iii−i−iii-1-111ii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111
χ301-1-11-1-111-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1−i−iii1-1ii−i−iii−i−i-1-111−i−iii-1-11111-1-1−i−iiiii−i−i-1-11111-1-1
χ311-1-11-1-111-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i-11ii−i−i-11ii−i−i−i−iii11-1-1−i−iii-1-11111-1-1ii−i−i−i−iii11-1-1-1-111
χ321-1-11-1-111-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i-11−i−iii-11−i−iiiii−i−i11-1-1ii−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.