Finite Group Databasebeta

← Group #10798409

Character table — Group #10798409

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order12224444444444442234444446661212121212121212121212126688888888888888881212121212122424242424242424242424242424242488888888888824242424242424242424242424242424224444444444444488882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1
χ1011111111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-111
χ1111111111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111
χ1211111111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−i-1-111
χ1411111111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1
χ1511111111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111
χ171111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i11-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−ii−ii−i1-11-1
χ181111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i11-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iiii−ii−iii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii−ii−ii-11-11
χ191111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-111-1-1−i−iii−i−iiii−ii−i-11-11
χ201111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i−ii−ii1-11-1
χ211111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii11-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−ii−ii−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−ii−ii−i-11-11
χ221111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii11-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−ii−ii1-11-1
χ231111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−ii−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−i−iii−i−iiii−ii−i1-11-1
χ241111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiii−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i−ii−ii-11-11
χ251111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ271111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ281111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ291111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11-111-1
χ301111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-111-11-1-11
χ311111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-111-1-11
χ321111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-111-1
χ33222222222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34222222222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111111100000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ35222222222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ36222222222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111111100000000222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ372222222222222222-2-22-2-2-2-2-2-2222222222222222-2-20000000000000000-2-2-2-2-2-2000000000000000022222222000000000000000000000000000000000000-2-2-2-20000
χ382222222222222222-2-22-2-2-2-2-2-2222222222222222-2-20000000000000000-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000022220000
χ3922222222-2-2-2-2-2-2-2-2222-2-222-2-22222222-2-2-2-2-2-2-2-2220000000000000000-2-222-2-200000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000−2i−2i2i2i0000
χ4022222222-2-2-2-2-2-2-2-2222-2-222-2-22222222-2-2-2-2-2-2-2-2220000000000000000-2-222-2-20000000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000002i2i−2i−2i0000
χ4122222222-2-2-2-2-2-2-2-2-2-2-122-2-222-1-1-1-1-1-1-111111111112i2i2i2i−2i−2i−2i−2i2222-2-2-2-2-1-111-1-1-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2-122-2-222-1-1-1-1-1-1-111111111112i2i2i2i−2i−2i−2i−2i-2-2-2-22222-1-111-1-111111111-1-1-1-1-1-1-1-100000000−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-122-2-222-1-1-1-1-1-1-11111111111−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2-1-111-1-1-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-122-2-222-1-1-1-1-1-1-11111111111−2i−2i−2i−2i2i2i2i2i-2-2-2-22222-1-111-1-111111111-1-1-1-1-1-1-1-1000000002i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
χ452222-2-2-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-222000000000000000022-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000−2i2i−2i2i0000
χ462222-2-2-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-222000000000000000022-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000002i−2i2i−2i0000
χ472222-2-2-2-22222-2-2-2-2-2-2-1-2-22222-1-1-11111-1-1-1-11111112i2i−2i−2i2i2i−2i−2i22-2-222-2-211-1-1-1-1-1-1-1-11111-1-1-1-11111000000002i−2i2i−2i−i−iii−i−iii−i−iii−i−iii000000000000000000000000
χ482222-2-2-2-22222-2-2-2-2-2-2-1-2-22222-1-1-11111-1-1-1-11111112i2i−2i−2i2i2i−2i−2i-2-222-2-22211-1-1-1-11111-1-1-1-11111-1-1-1-100000000−2i2i−2i2i−i−iii−i−iiiii−i−iii−i−i000000000000000000000000
χ492222-2-2-2-22222-2-2-2-2-2-2-1-2-22222-1-1-11111-1-1-1-1111111−2i−2i2i2i−2i−2i2i2i22-2-222-2-211-1-1-1-1-1-1-1-11111-1-1-1-1111100000000−2i2i−2i2iii−i−iii−i−iii−i−iii−i−i000000000000000000000000
χ502222-2-2-2-22222-2-2-2-2-2-2-1-2-22222-1-1-11111-1-1-1-1111111−2i−2i2i2i−2i−2i2i2i-2-222-2-22211-1-1-1-11111-1-1-1-11111-1-1-1-1000000002i−2i2i−2iii−i−iii−i−i−i−iii−i−iii000000000000000000000000
χ512222-2-2-2-2-2-2-2-2222222-1-2-2-2-222-1-1-111111111-1-1-1-1-1-122-2-2-2-22222-2-2-2-2221111-1-1-1-1-1-111111111-1-1-1-1000000002-2-22-1-11111-1-1-1-11111-1-1000000000000000000000000
χ522222-2-2-2-2-2-2-2-2222222-1-2-2-2-222-1-1-111111111-1-1-1-1-1-122-2-2-2-222-2-22222-2-21111-1-11111-1-1-1-1-1-1-1-1111100000000-222-2-1-11111-1-111-1-1-1-111000000000000000000000000
χ532222-2-2-2-2-2-2-2-2222222-1-2-2-2-222-1-1-111111111-1-1-1-1-1-1-2-22222-2-222-2-2-2-2221111-1-1-1-1-1-111111111-1-1-1-100000000-222-211-1-1-1-11111-1-1-1-111000000000000000000000000
χ542222-2-2-2-2-2-2-2-2222222-1-2-2-2-222-1-1-111111111-1-1-1-1-1-1-2-22222-2-2-2-22222-2-21111-1-11111-1-1-1-1-1-1-1-11111000000002-2-2211-1-1-1-111-1-11111-1-1000000000000000000000000
χ552222-2-2-2-2-2-2-2-22222-2-222222-2-2222-2-2-2-2-2-2-2-22222-2-200000000000000002222-2-2000000000000000022-2-2-2-222000000000000000000000000000000000000-222-20000
χ562222-2-2-2-2-2-2-2-22222-2-222222-2-2222-2-2-2-2-2-2-2-22222-2-200000000000000002222-2-20000000000000000-2-22222-2-20000000000000000000000000000000000002-2-220000
χ5722-2-222-2-22i2i−2i−2i2i2i−2i−2i0020000002-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000002−22−2−i2i2−i2i200000022−2−222−2−2−i2−i2i2i2−i2−i2i2i22ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ5822-2-222-2-22i2i−2i−2i2i2i−2i−2i0020000002-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000002−22−2−i2i2−i2i200000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ5922-2-222-2-22i2i−2i−2i2i2i−2i−2i0020000002-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000−22−22i2−i2i2−i2000000−2−222−2−222i2i2−i2−i2i2i2−i2−i22ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ6022-2-222-2-22i2i−2i−2i2i2i−2i−2i0020000002-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000−22−22i2−i2i2−i2000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ6122-2-222-2-2−2i−2i2i2i−2i−2i2i2i0020000002-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000002−22−2i2−i2i2−i200000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ6222-2-222-2-2−2i−2i2i2i−2i−2i2i2i0020000002-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000002−22−2i2−i2i2−i200000022−2−222−2−2i2i2−i2−i2i2i2−i2−i22ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ6322-2-222-2-2−2i−2i2i2i−2i−2i2i2i0020000002-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000−22−22−i2i2−i2i2000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ6422-2-222-2-2−2i−2i2i2i−2i−2i2i2i0020000002-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000−22−22−i2i2−i2i2000000−2−222−2−222−i2−i2i2i2−i2−i2i2i22ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ6522-2-2-2-2222i2i−2i−2i−2i−2i2i2i0020000002-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000002−2−22−i2i2i2−i200000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ6622-2-2-2-2222i2i−2i−2i−2i−2i2i2i0020000002-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000002−2−22−i2i2i2−i200000022−2−2−2−222−i2−i2i2i2i2i2−i2−i22ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ6722-2-2-2-2222i2i−2i−2i−2i−2i2i2i0020000002-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000−222−2i2−i2−i2i2000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ6822-2-2-2-2222i2i−2i−2i−2i−2i2i2i0020000002-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000−222−2i2−i2−i2i2000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i22ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ6922-2-2-2-222−2i−2i2i2i2i2i−2i−2i0020000002-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000002−2−22i2−i2−i2i200000022−2−2−2−222i2i2−i2−i2−i2−i2i2i22ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ7022-2-2-2-222−2i−2i2i2i2i2i−2i−2i0020000002-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000002−2−22i2−i2−i2i200000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ7122-2-2-2-222−2i−2i2i2i2i2i−2i−2i0020000002-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000−222−2−i2i2i2−i2000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i22ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ7222-2-2-2-222−2i−2i2i2i2i2i−2i−2i0020000002-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000−222−2−i2i2i2−i2000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ732-22-22i−2i2i−2i2i−2i2i−2i2-22-22-222i−2i2i−2i2-2-22-22i−2i2i−2i2i−2i2i−2i2-22-22-200000000000000002i−2i2i−2i2-2000000000000000000000000000000000000000000002-22i−2i2i−2i2-20000000000000000
χ742-22-22i−2i2i−2i2i−2i2i−2i2-22-22-222i−2i2i−2i2-2-22-22i−2i2i−2i2i−2i2i−2i2-22-22-200000000000000002i−2i2i−2i2-200000000000000000000000000000000000000000000-22−2i2i−2i2i-220000000000000000
χ752-22-22i−2i2i−2i2i−2i2i−2i2-22-2-222−2i2i−2i2i-22-22-22i−2i2i−2i2i−2i2i−2i2-22-2-222-22i−2i2i−2i2-200000000−2i2i−2i2i-2200000000000000000000000000002-22i−2i2i−2i2-200000000000000000000000000000000
χ762-22-22i−2i2i−2i2i−2i2i−2i2-22-2-222−2i2i−2i2i-22-22-22i−2i2i−2i2i−2i2i−2i2-22-2-22-22−2i2i−2i2i-2200000000−2i2i−2i2i-220000000000000000000000000000-22−2i2i−2i2i-2200000000000000000000000000000000
χ772-22-22i−2i2i−2i2i−2i2i−2i2-22-2-22-1−2i2i−2i2i-221-11−ii−ii−ii−ii-11-111-12-22i−2i2i−2i2-200000000i−ii−i1-13−33−3−i3i3−i3i3−i3i3−i3i33−33−3000000000000-11−ii−ii-113−3−i3i3−i3i33−3000000000000000000000000
χ782-22-22i−2i2i−2i2i−2i2i−2i2-22-2-22-1−2i2i−2i2i-221-11−ii−ii−ii−ii-11-111-12-22i−2i2i−2i2-200000000i−ii−i1-1−33−33i3−i3i3−i3i3−i3i3−i3−33−33000000000000-11−ii−ii-11−33i3−i3i3−i3−33000000000000000000000000
χ792-22-22i−2i2i−2i2i−2i2i−2i2-22-2-22-1−2i2i−2i2i-221-11−ii−ii−ii−ii-11-111-1-22−2i2i−2i2i-2200000000i−ii−i1-13−33−3−i3i3−i3i3−i3i3−i3i33−33−30000000000001-1i−ii−i1-1−33i3−i3i3−i3−33000000000000000000000000
χ802-22-22i−2i2i−2i2i−2i2i−2i2-22-2-22-1−2i2i−2i2i-221-11−ii−ii−ii−ii-11-111-1-22−2i2i−2i2i-2200000000i−ii−i1-1−33−33i3−i3i3−i3i3−i3i3−i3−33−330000000000001-1i−ii−i1-13−3−i3i3−i3i33−3000000000000000000000000
χ812-22-22i−2i2i−2i−2i2i−2i2i-22-222-22−2i2i2i−2i-22-22-22i−2i2i−2i−2i2i−2i2i-22-222-22i−2i-222-2−2i2i00000000−2i2i2i−2i-2200000000000000000000000000002i−2i-222-2−2i2i00000000000000000000000000000000
χ822-22-22i−2i2i−2i−2i2i−2i2i-22-222-22−2i2i2i−2i-22-22-22i−2i2i−2i−2i2i−2i2i-22-222-2−2i2i2-2-222i−2i00000000−2i2i2i−2i-220000000000000000000000000000−2i2i2-2-222i−2i00000000000000000000000000000000
χ832-22-22i−2i2i−2i−2i2i−2i2i-22-222-2-1−2i2i2i−2i-221-11−ii−iii−ii−i1-11-1-112i−2i-222-2−2i2i00000000i−i−ii1-13−33−3−i3i3−i3i3i3−i3i3−i3−33−33000000000000−ii1-1-11i−ii3−i33−3−33−i3i3000000000000000000000000
χ842-22-22i−2i2i−2i−2i2i−2i2i-22-222-2-1−2i2i2i−2i-221-11−ii−iii−ii−i1-11-1-112i−2i-222-2−2i2i00000000i−i−ii1-1−33−33i3−i3i3−i3−i3i3−i3i33−33−3000000000000−ii1-1-11i−i−i3i3−333−3i3−i3000000000000000000000000
χ852-22-22i−2i2i−2i−2i2i−2i2i-22-222-2-1−2i2i2i−2i-221-11−ii−iii−ii−i1-11-1-11−2i2i2-2-222i−2i00000000i−i−ii1-13−33−3−i3i3−i3i3i3−i3i3−i3−33−33000000000000i−i-111-1−ii−i3i3−333−3i3−i3000000000000000000000000
χ862-22-22i−2i2i−2i−2i2i−2i2i-22-222-2-1−2i2i2i−2i-221-11−ii−iii−ii−i1-11-1-11−2i2i2-2-222i−2i00000000i−i−ii1-1−33−33i3−i3i3−i3−i3i3−i3i33−33−3000000000000i−i-111-1−iii3−i33−3−33−i3i3000000000000000000000000
χ872-22-22i−2i2i−2i−2i2i−2i2i-22-22-2222i−2i−2i2i2-2-22-22i−2i2i−2i−2i2i−2i2i-22-22-2200000000000000002i−2i−2i2i2-2000000000000000000000000000000000000000000002-22i−2i−2i2i-220000000000000000
χ882-22-22i−2i2i−2i−2i2i−2i2i-22-22-2222i−2i−2i2i2-2-22-22i−2i2i−2i−2i2i−2i2i-22-22-2200000000000000002i−2i−2i2i2-200000000000000000000000000000000000000000000-22−2i2i2i−2i2-20000000000000000
χ892-22-2−2i2i−2i2i2i−2i2i−2i-22-222-222i−2i−2i2i-22-22-2−2i2i−2i2i2i−2i2i−2i-22-222-22i−2i2-2-22−2i2i000000002i−2i−2i2i-2200000000000000000000000000002i−2i2-2-22−2i2i00000000000000000000000000000000
χ902-22-2−2i2i−2i2i2i−2i2i−2i-22-222-222i−2i−2i2i-22-22-2−2i2i−2i2i2i−2i2i−2i-22-222-2−2i2i-222-22i−2i000000002i−2i−2i2i-220000000000000000000000000000−2i2i-222-22i−2i00000000000000000000000000000000
χ912-22-2−2i2i−2i2i2i−2i2i−2i-22-222-2-12i−2i−2i2i-221-11i−ii−i−ii−ii1-11-1-112i−2i2-2-22−2i2i00000000−iii−i1-13−33−3i3−i3i3−i3−i3i3−i3i3−33−33000000000000−ii-111-1i−ii3−i3−333−3−i3i3000000000000000000000000
χ922-22-2−2i2i−2i2i2i−2i2i−2i-22-222-2-12i−2i−2i2i-221-11i−ii−i−ii−ii1-11-1-112i−2i2-2-22−2i2i00000000−iii−i1-1−33−33−i3i3−i3i3i3−i3i3−i33−33−3000000000000−ii-111-1i−i−i3i33−3−33i3−i3000000000000000000000000
χ932-22-2−2i2i−2i2i2i−2i2i−2i-22-222-2-12i−2i−2i2i-221-11i−ii−i−ii−ii1-11-1-11−2i2i-222-22i−2i00000000−iii−i1-13−33−3i3−i3i3−i3−i3i3−i3i3−33−33000000000000i−i1-1-11−ii−i3i33−3−33i3−i3000000000000000000000000
χ942-22-2−2i2i−2i2i2i−2i2i−2i-22-222-2-12i−2i−2i2i-221-11i−ii−i−ii−ii1-11-1-11−2i2i-222-22i−2i00000000−iii−i1-1−33−33−i3i3−i3i3i3−i3i3−i33−33−3000000000000i−i1-1-11−iii3−i3−333−3−i3i3000000000000000000000000
χ952-22-2−2i2i−2i2i2i−2i2i−2i-22-22-222−2i2i2i−2i2-2-22-2−2i2i−2i2i2i−2i2i−2i-22-22-220000000000000000−2i2i2i−2i2-2000000000000000000000000000000000000000000002-2−2i2i2i−2i-220000000000000000
χ962-22-2−2i2i−2i2i2i−2i2i−2i-22-22-222−2i2i2i−2i2-2-22-2−2i2i−2i2i2i−2i2i−2i-22-22-220000000000000000−2i2i2i−2i2-200000000000000000000000000000000000000000000-222i−2i−2i2i2-20000000000000000
χ972-22-2−2i2i−2i2i−2i2i−2i2i2-22-22-22−2i2i−2i2i2-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-22-20000000000000000−2i2i−2i2i2-2000000000000000000000000000000000000000000002-2−2i2i−2i2i2-20000000000000000
χ982-22-2−2i2i−2i2i−2i2i−2i2i2-22-22-22−2i2i−2i2i2-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-22-20000000000000000−2i2i−2i2i2-200000000000000000000000000000000000000000000-222i−2i2i−2i-220000000000000000
χ992-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-2222i−2i2i−2i-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-222-2−2i2i−2i2i2-2000000002i−2i2i−2i-2200000000000000000000000000002-2−2i2i−2i2i2-200000000000000000000000000000000
χ1002-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-2222i−2i2i−2i-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-22-222i−2i2i−2i-22000000002i−2i2i−2i-220000000000000000000000000000-222i−2i2i−2i-2200000000000000000000000000000000
χ1012-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-22-12i−2i2i−2i-221-11i−ii−ii−ii−i-11-111-12-2−2i2i−2i2i2-200000000−ii−ii1-13−33−3i3−i3i3−i3i3−i3i3−i33−33−3000000000000-11i−ii−i-113−3i3−i3i3−i33−3000000000000000000000000
χ1022-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-22-12i−2i2i−2i-221-11i−ii−ii−ii−i-11-111-12-2−2i2i−2i2i2-200000000−ii−ii1-1−33−33−i3i3−i3i3−i3i3−i3i3−33−33000000000000-11i−ii−i-11−33−i3i3−i3i3−33000000000000000000000000
χ1032-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-22-12i−2i2i−2i-221-11i−ii−ii−ii−i-11-111-1-222i−2i2i−2i-2200000000−ii−ii1-13−33−3i3−i3i3−i3i3−i3i3−i33−33−30000000000001-1−ii−ii1-1−33−i3i3−i3i3−33000000000000000000000000
χ1042-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-22-12i−2i2i−2i-221-11i−ii−ii−ii−i-11-111-1-222i−2i2i−2i-2200000000−ii−ii1-1−33−33−i3i3−i3i3−i3i3−i3i3−33−330000000000001-1−ii−ii1-13−3i3−i3i3−i33−3000000000000000000000000
χ1054444444444444444-4-4-2-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000000000000022222200000000000000000000000000000000000000000000000000000000000000000000
χ10644444444-4-4-4-4-4-4-4-444-2-4-444-4-4-2-2-2-2-2-2-222222222-2-2000000000000000022-2-22200000000000000000000000000000000000000000000000000000000000000000000
χ1074444-4-4-4-44444-4-4-4-444-244-4-4-4-4-2-2-22222-2-2-2-22222-2-20000000000000000-2-2222200000000000000000000000000000000000000000000000000000000000000000000
χ1084444-4-4-4-4-4-4-4-44444-4-4-24444-4-4-2-2-222222222-2-2-2-2220000000000000000-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000
χ10944-4-444-4-44i4i−4i−4i4i4i−4i−4i00-2000000-222-2-222−2i−2i2i2i−2i−2i2i2i000000000022−2222−22−2i22i2−2i22i2000000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000000000000000000000000000000000000000
χ11044-4-444-4-44i4i−4i−4i4i4i−4i−4i00-2000000-222-2-222−2i−2i2i2i−2i−2i2i2i0000000000−2222−22222i2−2i22i2−2i200000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000000000000000000000000000000000000000
χ11144-4-444-4-4−4i−4i4i4i−4i−4i4i4i00-2000000-222-2-2222i2i−2i−2i2i2i−2i−2i000000000022−2222−222i2−2i22i2−2i2000000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000000000000000000000000000000000000000
χ11244-4-444-4-4−4i−4i4i4i−4i−4i4i4i00-2000000-222-2-2222i2i−2i−2i2i2i−2i−2i0000000000−2222−2222−2i22i2−2i22i200000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000000000000000000000000000000000000000
χ11344-4-4-4-4444i4i−4i−4i−4i−4i4i4i00-2000000-22222-2-2−2i−2i2i2i2i2i−2i−2i000000000022−22−2222−2i22i22i2−2i2000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000000000000000000000000000000000000000
χ11444-4-4-4-4444i4i−4i−4i−4i−4i4i4i00-2000000-22222-2-2−2i−2i2i2i2i2i−2i−2i0000000000−222222−222i2−2i2−2i22i200000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000000000000000000000000000000000000000
χ11544-4-4-4-444−4i−4i4i4i4i4i−4i−4i00-2000000-22222-2-22i2i−2i−2i−2i−2i2i2i000000000022−22−22222i2−2i2−2i22i2000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000000000000000000000000000000000000000
χ11644-4-4-4-444−4i−4i4i4i4i4i−4i−4i00-2000000-22222-2-22i2i−2i−2i−2i−2i2i2i0000000000−222222−22−2i22i22i2−2i200000022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000000000000000000000000000000000000000
χ1174-44-44i−4i4i−4i4i−4i4i−4i4-44-44-4-24i−4i4i−4i4-42-22−2i2i−2i2i−2i2i−2i2i-22-22-220000000000000000−2i2i−2i2i-2200000000000000000000000000000000000000000000000000000000000000000000
χ1184-44-44i−4i4i−4i−4i4i−4i4i-44-44-44-24i−4i−4i4i4-42-22−2i2i−2i2i2i−2i2i−2i2-22-22-20000000000000000−2i2i2i−2i-2200000000000000000000000000000000000000000000000000000000000000000000
χ1194-44-4−4i4i−4i4i4i−4i4i−4i-44-44-44-2−4i4i4i−4i4-42-222i−2i2i−2i−2i2i−2i2i2-22-22-200000000000000002i−2i−2i2i-2200000000000000000000000000000000000000000000000000000000000000000000
χ1204-44-4−4i4i−4i4i−4i4i−4i4i4-44-44-4-2−4i4i−4i4i4-42-222i−2i2i−2i2i−2i2i−2i-22-22-2200000000000000002i−2i2i−2i-2200000000000000000000000000000000000000000000000000000000000000000000
χ1214-4-444i−4i−4i4i4-4-44−4i4i4i−4i004000000-4-444i−4i−4i4i4-4-44−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-444i−4i−4i4i4-4-44−4i4i4i−4i00-200000022-2−2i2i2i−2i-222-22i−2i−2i2i0000000000000000000000006−6−66−i6i6i6−i66−6−66i6−i6−i6i60000000000000000000000000000000000000000000000000000
χ1234-4-444i−4i−4i4i4-4-44−4i4i4i−4i00-200000022-2−2i2i2i−2i-222-22i−2i−2i2i000000000000000000000000−666−6i6−i6−i6i6−666−6−i6i6i6−i60000000000000000000000000000000000000000000000000000
χ1244-4-444i−4i−4i4i-444-44i−4i−4i4i004000000-4-444i−4i−4i4i-444-44i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-444i−4i−4i4i-444-44i−4i−4i4i00-200000022-2−2i2i2i−2i2-2-22−2i2i2i−2i0000000000000000000000006−6−66−i6i6i6−i6−666−6−i6i6i6−i60000000000000000000000000000000000000000000000000000
χ1264-4-444i−4i−4i4i-444-44i−4i−4i4i00-200000022-2−2i2i2i−2i2-2-22−2i2i2i−2i000000000000000000000000−666−6i6−i6−i6i66−6−66i6−i6−i6i60000000000000000000000000000000000000000000000000000
χ1274-4-44−4i4i4i−4i4-4-444i−4i−4i4i004000000-4-44−4i4i4i−4i4-4-444i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-4-44−4i4i4i−4i4-4-444i−4i−4i4i00-200000022-22i−2i−2i2i-222-2−2i2i2i−2i0000000000000000000000006−6−66i6−i6−i6i66−6−66−i6i6i6−i60000000000000000000000000000000000000000000000000000
χ1294-4-44−4i4i4i−4i4-4-444i−4i−4i4i00-200000022-22i−2i−2i2i-222-2−2i2i2i−2i000000000000000000000000−666−6−i6i6i6−i6−666−6i6−i6−i6i60000000000000000000000000000000000000000000000000000
χ1304-4-44−4i4i4i−4i-444-4−4i4i4i−4i004000000-4-44−4i4i4i−4i-444-4−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-44−4i4i4i−4i-444-4−4i4i4i−4i00-200000022-22i−2i−2i2i2-2-222i−2i−2i2i0000000000000000000000006−6−66i6−i6−i6i6−666−6i6−i6−i6i60000000000000000000000000000000000000000000000000000
χ1324-4-44−4i4i4i−4i-444-4−4i4i4i−4i00-200000022-22i−2i−2i2i2-2-222i−2i−2i2i000000000000000000000000−666−6−i6i6i6−i66−6−66−i6i6i6−i60000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.