Finite Group Databasebeta

← Group #10618055

Character table — Group #10618055

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888101010101010101010101010101010102020202020202020
order1222444422444444551010101010102020202020202020224444444410101010202020202020202020202020202020202020202010101010202020202020202020202020224444444444444424444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111-1-1-1-111111111111111111-11-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-111111111111111111-11-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111-1-1-1-11111111111111111-11-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-11111111111111111-11-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ1011111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ1111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-111-1-1-1-1
χ1211111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ1311111111-1-1-1-1-1-1-1-111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-11111111111111111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-11111111111111111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ171111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-111-11-11-1
χ181111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-1-11-11-11
χ191111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-11-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1-1-111-1-111-111-1-11-11
χ201111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-11-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-11111-1-111-1-11-1-111-11-1
χ211111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-1111-1-111-1-11
χ221111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-111-1-111-1
χ231111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-11-111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-111-1-1-1-11111-1-11-1-11-111-1
χ241111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-11-111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-111-11-1-11
χ251111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111-11-11-11-1
χ261111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-11-11-11-11
χ271111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-111-1-11-11-1-11-11
χ281111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111-11-111-11-1
χ291111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-11-111-1-11
χ301111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1111-11-1-111-1
χ311111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-111-11-11-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-11-11-111-1
χ321111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-111-11-11-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-11-11-1-11
χ332222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ342222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ352222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ362222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ37222222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-2-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+52000000000000000000000000
χ38222222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-22-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ39222222222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-22-2-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−52000000000000000000000000
χ40222222222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-22-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ4122222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52000000000000000000000000
χ4222222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ4322222222-2-2-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52000000000000000000000000
χ4422222222-2-2-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-222-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-222222-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-22-222-2-2221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-222222-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ492222-2-2-2-222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222-2-22-22-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52000000000000000000000000
χ502222-2-2-2-222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2222-2-22-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52000000000000000000000000
χ512222-2-2-2-222-2-222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222-2-22-22-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52000000000000000000000000
χ522222-2-2-2-222-2-222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2222-2-22-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52000000000000000000000000
χ532222-2-2-2-222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2-22-222-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.