Finite Group Databasebeta

← Group #211693

Character table — Group #211693

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12224444888888882244444444444444888888888888888822224444444444444444448888888888888888888888888888888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ171111-1-1-1-1iiii−i−i−i−i-1-1iiii−i−i−i−i111-1-11ii−i−iii−i−i1111-1-1-1-111-1-111-1-11-1ii−i−iiiii−i−i−i−iiiii−i−i−i−ii−i11-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-11-11-1i−ii−i
χ181111-1-1-1-1iiii−i−i−i−i-1-1iiii−i−i−i−i111-1-11ii−i−iii−i−i1111-1-1-1-111-1-111-1-11-1ii−i−iiiii−i−i−i−iiiii−i−i−i−ii−i11-1-11111-1-1-1-1-1-111−i−iii−i−iii-1-111-11-11−ii−ii
χ191111-1-1-1-1iiii−i−i−i−i-1-1iiii−i−i−i−i111-1-11ii−i−iii−i−i1111-1-1-1-1-1-111-1-1111-1ii−i−i−i−i−i−iiiii−i−i−i−iiiiii−i11-1-1-1-1-1-1111111-1-1ii−i−iii−i−i11-1-1-11-11−ii−ii
χ201111-1-1-1-1iiii−i−i−i−i-1-1iiii−i−i−i−i111-1-11ii−i−iii−i−i1111-1-1-1-1-1-111-1-1111-1ii−i−i−i−i−i−iiiii−i−i−i−iiiiii−i11-1-1-1-1-1-11111-1-111−i−iii−i−iii-1-1111-11-1i−ii−i
χ211111-1-1-1-1iiii−i−i−i−i-1-1−i−i−i−iiiii111-1-11ii−i−iii−i−i-1-1-1-1111111-1-111-1-11-1−i−iii−i−i−i−iiiiiiiii−i−i−i−ii−i-1-111-1-1-1-1111111-1-1ii−i−i−i−iii-1-1111-1-11i−i−ii
χ221111-1-1-1-1iiii−i−i−i−i-1-1−i−i−i−iiiii111-1-11ii−i−iii−i−i-1-1-1-1111111-1-111-1-11-1−i−iii−i−i−i−iiiiiiiii−i−i−i−ii−i-1-111-1-1-1-11111-1-111−i−iiiii−i−i11-1-1-111-1−iii−i
χ231111-1-1-1-1iiii−i−i−i−i-1-1−i−i−i−iiiii111-1-11ii−i−iii−i−i-1-1-1-11111-1-111-1-1111-1−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−i-1-1111111-1-1-1-111-1-1ii−i−i−i−iii-1-111-111-1−iii−i
χ241111-1-1-1-1iiii−i−i−i−i-1-1−i−i−i−iiiii111-1-11ii−i−iii−i−i-1-1-1-11111-1-111-1-1111-1−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−i-1-1111111-1-1-1-1-1-111−i−iiiii−i−i11-1-11-1-11i−i−ii
χ251111-1-1-1-1−i−i−i−iiiii-1-1iiii−i−i−i−i111-1-11−i−iii−i−iii-1-1-1-1111111-1-111-1-11-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii−ii-1-111-1-1-1-1111111-1-1−i−iiiii−i−i-1-1111-1-11−iii−i
χ261111-1-1-1-1−i−i−i−iiiii-1-1iiii−i−i−i−i111-1-11−i−iii−i−iii-1-1-1-1111111-1-111-1-11-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii−ii-1-111-1-1-1-11111-1-111ii−i−i−i−iii11-1-1-111-1i−i−ii
χ271111-1-1-1-1−i−i−i−iiiii-1-1iiii−i−i−i−i111-1-11−i−iii−i−iii-1-1-1-11111-1-111-1-1111-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i−ii-1-1111111-1-1-1-111-1-1−i−iiiii−i−i-1-111-111-1i−i−ii
χ281111-1-1-1-1−i−i−i−iiiii-1-1iiii−i−i−i−i111-1-11−i−iii−i−iii-1-1-1-11111-1-111-1-1111-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i−ii-1-1111111-1-1-1-1-1-111ii−i−i−i−iii11-1-11-1-11−iii−i
χ291111-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−iiiii111-1-11−i−iii−i−iii1111-1-1-1-111-1-111-1-11-1−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii11-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-11-11-1−ii−ii
χ301111-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−iiiii111-1-11−i−iii−i−iii1111-1-1-1-111-1-111-1-11-1−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii11-1-11111-1-1-1-1-1-111ii−i−iii−i−i-1-111-11-11i−ii−i
χ311111-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−iiiii111-1-11−i−iii−i−iii1111-1-1-1-1-1-111-1-1111-1−i−iiiiiii−i−i−i−iiiii−i−i−i−i−ii11-1-1-1-1-1-1111111-1-1−i−iii−i−iii11-1-1-11-11i−ii−i
χ321111-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−iiiii111-1-11−i−iii−i−iii1111-1-1-1-1-1-111-1-1111-1−i−iiiiiii−i−i−i−iiiii−i−i−i−i−ii11-1-1-1-1-1-11111-1-111ii−i−iii−i−i-1-1111-11-1−ii−ii
χ33222222222222222222222222222-2-2-2-222222-2-2-2-22222222200000000-2-2-2-2-2-20000000000000000-2-2-2-2-2-200000000000000000000000000000000
χ34222222222222222222-2-2-2-2-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-222220000000000000000-2-2222200000000000000000000000000000000
χ352222222222222222-2-200000000-22222-2-2-2-2-222220000000022-2-2-2-222-2-200000000000022-2-222-2-2-2-2000000000000000000000000000000000000
χ362222222222222222-2-200000000-22222-2-2-2-2-2222200000000-2-22222-2-2-2-2000000000000-2-222-2-222-2-2000000000000000000000000000000000000
χ372222222222222222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002200002i2i−2i−2i2i2i−2i−2i000000002200002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ382222222222222222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000220000−2i−2i2i2i−2i−2i2i2i00000000220000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222222222222-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2000000000000000022222200000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22-2-2-2-22-2-2-2-222222222222200000000-2-22222000000000000000022-2-2-2-200000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-200000000-22222-22222-2-2-2-20000000022-2-2-2-222-2-2000000000000-2-222-2-22222000000000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-200000000-22222-22222-2-2-2-200000000-2-22222-2-2-2-200000000000022-2-222-2-222000000000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-22222222200000000000000002200002i2i−2i−2i2i2i−2i−2i00000000-2-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2222222220000000000000000220000−2i−2i2i2i−2i−2i2i2i00000000-2-200002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ452222-2-2-2-22i2i2i2i−2i−2i−2i−2i2200000000-222-2-2-2−2i−2i2i2i2i2i−2i−2i000000002222-2-2-2-2-220000000000002i2i−2i−2i−2i−2i2i2i−2i2i000000000000000000000000000000000000
χ462222-2-2-2-22i2i2i2i−2i−2i−2i−2i2200000000-222-2-2-2−2i−2i2i2i2i2i−2i−2i00000000-2-2-2-22222-22000000000000−2i−2i2i2i2i2i−2i−2i−2i2i000000000000000000000000000000000000
χ472222-2-2-2-22i2i2i2i−2i−2i−2i−2i2200000000-2-2-222-2−2i−2i2i2i−2i−2i2i2i00000000000000002-2000022-2-2-2-222000000002i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ482222-2-2-2-22i2i2i2i−2i−2i−2i−2i2200000000-2-2-222-2−2i−2i2i2i−2i−2i2i2i00000000000000002-20000-2-22222-2-2000000002i−2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ492222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22i2i2i2i−2i−2i−2i−2i2-2-22222i2i−2i−2i−2i−2i2i2i2222-2-2-2-200000000-22−2i−2i2i2i0000000000000000−2i2i-2-22200000000000000000000000000000000
χ502222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-2−2i−2i−2i−2i2i2i2i2i2-2-22222i2i−2i−2i−2i−2i2i2i-2-2-2-2222200000000-222i2i−2i−2i0000000000000000−2i2i22-2-200000000000000000000000000000000
χ512222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2200000000-222-2-2-22i2i−2i−2i−2i−2i2i2i000000002222-2-2-2-2-22000000000000−2i−2i2i2i2i2i−2i−2i2i−2i000000000000000000000000000000000000
χ522222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2200000000-222-2-2-22i2i−2i−2i−2i−2i2i2i00000000-2-2-2-22222-220000000000002i2i−2i−2i−2i−2i2i2i2i−2i000000000000000000000000000000000000
χ532222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2200000000-2-2-222-22i2i−2i−2i2i2i−2i−2i00000000000000002-2000022-2-2-2-22200000000−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ542222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2200000000-2-2-222-22i2i−2i−2i2i2i−2i−2i00000000000000002-20000-2-22222-2-200000000−2i2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ552222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-22i2i2i2i−2i−2i−2i−2i2-2-2222−2i−2i2i2i2i2i−2i−2i-2-2-2-2222200000000-22−2i−2i2i2i00000000000000002i−2i22-2-200000000000000000000000000000000
χ562222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-2−2i−2i−2i−2i2i2i2i2i2-2-2222−2i−2i2i2i2i2i−2i−2i2222-2-2-2-200000000-222i2i−2i−2i00000000000000002i−2i-2-22200000000000000000000000000000000
χ5722-2-222-2-222-2-222-2-2-2222-2-222-2-2-2000022-22-2000022-2-222-2-200000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ5822-2-222-2-222-2-222-2-2-2222-2-222-2-2-2000022-22-2000022-2-222-2-200000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ5922-2-222-2-222-2-222-2-2-22-2-222-2-222-2000022-22-20000-2-222-2-22200000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ6022-2-222-2-222-2-222-2-2-22-2-222-2-222-2000022-22-20000-2-222-2-22200000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ6122-2-222-2-2-2-222-2-222-2222-2-222-2-2-200002-22-220000-2-222-2-22200000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ6222-2-222-2-2-2-222-2-222-2222-2-222-2-2-200002-22-220000-2-222-2-22200000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ6322-2-222-2-2-2-222-2-222-22-2-222-2-222-200002-22-22000022-2-222-2-200000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ6422-2-222-2-2-2-222-2-222-22-2-222-2-222-200002-22-22000022-2-222-2-200000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ6522-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-22i2i−2i−2i−2i−2i2i2i-2000022i−2i−2i2i000022-2-2-2-22200000000000000000000000000000000000000000000i2−i2−i2i2−222−2−222−2i2−i2−i2i200000000
χ6622-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-22i2i−2i−2i−2i−2i2i2i-2000022i−2i−2i2i000022-2-2-2-22200000000000000000000000000000000000000000000−i2i2i2−i22−2−222−2−22−i2i2i2−i200000000
χ6722-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-2−2i−2i2i2i2i2i−2i−2i-2000022i−2i−2i2i0000-2-22222-2-200000000000000000000000000000000000000000000i2−i2−i2i2−222−22−2−22−i2i2i2−i200000000
χ6822-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-2−2i−2i2i2i2i2i−2i−2i-2000022i−2i−2i2i0000-2-22222-2-200000000000000000000000000000000000000000000−i2i2i2−i22−2−22−222−2i2−i2−i2i200000000
χ6922-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-22i2i−2i−2i−2i−2i2i2i-200002−2i2i2i−2i0000-2-22222-2-200000000000000000000000000000000000000000000i2−i2−i2i22−2−22−222−2−i2i2i2−i200000000
χ7022-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-22i2i−2i−2i−2i−2i2i2i-200002−2i2i2i−2i0000-2-22222-2-200000000000000000000000000000000000000000000−i2i2i2−i2−222−22−2−22i2−i2−i2i200000000
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χ7222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-2−2i−2i2i2i2i2i−2i−2i-200002−2i2i2i−2i000022-2-2-2-22200000000000000000000000000000000000000000000−i2i2i2−i2−222−2−222−2−i2i2i2−i200000000
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χ812-22-22i−2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3001+i−1−i1+i−1−i1−i−1+i1−i−1+i02-22i−2i00000−2ζ2ζ−2ζ32ζ3−22−22−i2i2−i2i2002-22i−2i00001+i−1−i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2ζ32ζ300−2ζ2ζ00−22−i2i2−i2i2−i2i2−22−22000000000000000000000000
χ822-22-22i−2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3001+i−1−i1+i−1−i1−i−1+i1−i−1+i02-22i−2i00000−2ζ2ζ−2ζ32ζ3−22−22−i2i2−i2i200-22−2i2i00001+i−1−i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i002ζ3−2ζ3002ζ−2ζ00−22−i2i2i2−i2i2−i22−22−2000000000000000000000000
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χ842-22-22i−2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3001+i−1−i1+i−1−i1−i−1+i1−i−1+i0-22−2i2i000002ζ−2ζ2ζ3−2ζ3−22−22−i2i2−i2i2-220000−2i2i00−1−i1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i2ζ−2ζ002ζ3−2ζ300002−2i2−i2−222−2i2−i2−i2i2000000000000000000000000
χ852-22-22i−2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300−1−i1+i−1−i1+i−1+i1−i−1+i1−i02-22i−2i00000−2ζ2ζ−2ζ32ζ32−22−2i2−i2i2−i2002-22i−2i0000−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2ζ32ζ300−2ζ2ζ002−2i2−i2i2−i2i2−i22−22−2000000000000000000000000
χ862-22-22i−2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300−1−i1+i−1−i1+i−1+i1−i−1+i1−i02-22i−2i00000−2ζ2ζ−2ζ32ζ32−22−2i2−i2i2−i200-22−2i2i0000−1−i1+i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i002ζ3−2ζ3002ζ−2ζ002−2i2−i2−i2i2−i2i2−22−22000000000000000000000000
χ872-22-22i−2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300−1−i1+i−1−i1+i−1+i1−i−1+i1−i0-22−2i2i000002ζ−2ζ2ζ3−2ζ32−22−2i2−i2i2−i22-200002i−2i001+i−1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−2ζ2ζ00−2ζ32ζ30000−22−i2i2−222−2i2−i2−i2i2000000000000000000000000
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χ922-22-2−2i2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ001−i−1+i1−i−1+i1+i−1−i1+i−1−i0-222i−2i00000−2ζ32ζ3−2ζ2ζ−22−22i2−i2i2−i2-2200002i−2i00−1+i1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2ζ32ζ300−2ζ2ζ00002−2−i2i2−222−2−i2i2i2−i2000000000000000000000000
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χ1002-22-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ001−i−1+i1−i−1+i1+i−1−i1+i−1−i0-222i−2i000002ζ3−2ζ32ζ−2ζ2−22−2−i2i2−i2i2-2200002i−2i00−1+i1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i2ζ3−2ζ3002ζ−2ζ0000−22i2−i22−2−22i2−i2−i2i2000000000000000000000000
χ1012-22-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00−1+i1−i−1+i1−i−1−i1+i−1−i1+i02-2−2i2i00000−2ζ32ζ3−2ζ2ζ−22−22i2−i2i2−i2002-2−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ2ζ00−2ζ32ζ300−22i2−i2i2−i2i2−i2−22−22000000000000000000000000
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χ1032-22-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0-222i−2i000002ζ3−2ζ32ζ−2ζ−22−22i2−i2i2−i22-20000−2i2i001−i−1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2ζ32ζ300−2ζ2ζ00002−2−i2i22−2−22i2−i2−i2i2000000000000000000000000
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χ10544-4-444-4-444-4-444-4-44-40000000040000-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10644-4-444-4-4-4-444-4-4444-40000000040000-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-4-4-4444i4i−4i−4i−4i−4i4i4i-440000000040000-4−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-4-4-444−4i−4i4i4i4i4i−4i−4i-440000000040000-44i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-444i−4i−4i4i4ζ−4ζ−4ζ4ζ4ζ3−4ζ3−4ζ34ζ3002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i0000000000000022−22−22222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
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χ1114-4-444i−4i−4i4i−4ζ4ζ4ζ−4ζ−4ζ34ζ34ζ3−4ζ3002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i00000000000000−222222−22−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-444i−4i−4i4i−4ζ4ζ4ζ−4ζ−4ζ34ζ34ζ3−4ζ300−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i0000000000000022−22−22222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44−4i4i4i−4i4ζ3−4ζ3−4ζ34ζ34ζ−4ζ−4ζ4ζ002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i00000000000000−222222−222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44−4i4i4i−4i4ζ3−4ζ3−4ζ34ζ34ζ−4ζ−4ζ4ζ00−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i0000000000000022−22−2222−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-44−4i4i4i−4i−4ζ34ζ34ζ3−4ζ3−4ζ4ζ4ζ−4ζ002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i0000000000000022−22−2222−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44−4i4i4i−4i−4ζ34ζ34ζ3−4ζ3−4ζ4ζ4ζ−4ζ00−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i00000000000000−222222−222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.