Finite Group Databasebeta

← Group #13016472

Character table — Group #13016472

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222224444444444444444444444444455555555888888888888888888888888101010101010101020202020202020202020202020202020202020202020202020204040404040404040
order12224444224444444458888888810101020202020202020202020202022224444101020202020202040404040404040404040404040404040224444444444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111−i−i−i−iiiii
χ81111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111iiii−i−i−i−i
χ911111111-1-1-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−i
χ1211111111-1-1-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiii−i−i−i−iii
χ1311111111-1-1-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−iii−i−i−i−iii
χ1611111111-1-1-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i
χ171111-1-1-1-11111-1-1-1-11-11ii−i−iii−i−i111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1-1-11111-1-1-1-11-11ii−i−iii−i−i111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1-1-111-1-111-1-111-1-111ii−i−iii−i−i−ii−ii−ii−ii
χ191111-1-1-1-11111-1-1-1-11-11ii−i−iii−i−i111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-11ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-11-111-11-1
χ201111-1-1-1-11111-1-1-1-11-11ii−i−iii−i−i111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii1-11-1-11-11
χ211111-1-1-1-11111-1-1-1-11-11−i−iii−i−iii111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii
χ221111-1-1-1-11111-1-1-1-11-11−i−iii−i−iii111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-1-1-111-1-111-1-111-1-111−i−iii−i−iiii−ii−ii−ii−i
χ231111-1-1-1-11111-1-1-1-11-11−i−iii−i−iii111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11
χ241111-1-1-1-11111-1-1-1-11-11−i−iii−i−iii111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-11−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-11-111-11-1
χ251111-1-1-1-1-1-1-1-111111-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−iii−i−iii−i
χ261111-1-1-1-1-1-1-1-111111-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111i−i−iii−i−ii
χ271111-1-1-1-1-1-1-1-111111-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-11-1-11
χ281111-1-1-1-1-1-1-1-111111-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ291111-1-1-1-1-1-1-1-111111-11-1-11111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1i−i−iii−i−ii
χ301111-1-1-1-1-1-1-1-111111-11-1-11111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−iii−i−iii−i
χ311111-1-1-1-1-1-1-1-111111-11-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11-111-1
χ321111-1-1-1-1-1-1-1-111111-11-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-111-111-11-1-11
χ332222222222-2-222-2-2-2-22000000002222222-2-2-2-2-2-2-2-22222222222-2-2-2-222000000000000000022-2-222-2-2-2-200000000000000000000000000000000
χ342222222222-2-222-2-2-2-22000000002222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2220000000000000000-2-222-2-2222200000000000000000000000000000000
χ3522222222-2-222-2-222-2-220000000022222222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-222-2-222-2-200000000000000000000000000000000
χ3622222222-2-222-2-222-2-2200000000222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-222-2-22200000000000000000000000000000000
χ372222-2-2-2-222-2-2-2-222-22200000000222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-222-2-2000000000000000022-2-2-2-222-2200000000000000000000000000000000
χ382222-2-2-2-222-2-2-2-222-22200000000222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-222-2-20000000000000000-2-22222-2-22-200000000000000000000000000000000
χ392222-2-2-2-2-2-22222-2-2-22200000000222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000-2-22222-2-2-2200000000000000000000000000000000
χ402222-2-2-2-2-2-22222-2-2-22200000000222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000022-2-2-2-2222-200000000000000000000000000000000
χ4122-2-222-2-22-2002-200002i2−i2i2−i2i2−i2i2−i22-2-222-2-20000000022-2-222-2-22-200002-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-22002-200000000000000000000i2−i2i2−i2i2−i2i2−i200000000
χ4222-2-222-2-22-2002-200002i2−i2i2−i2i2−i2i2−i22-2-222-2-200000000-2-222-2-2222-200002-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-200-2200000000000000000000−i2i2−i2i2−i2i2−i2i200000000
χ4322-2-222-2-22-2002-200002−i2i2−i2i2−i2i2−i2i22-2-222-2-20000000022-2-222-2-22-200002-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-22002-200000000000000000000−i2i2−i2i2−i2i2−i2i200000000
χ4422-2-222-2-22-2002-200002−i2i2−i2i2−i2i2−i2i22-2-222-2-200000000-2-222-2-2222-200002-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-200-2200000000000000000000i2−i2i2−i2i2−i2i2−i200000000
χ4522-2-222-2-2-2200-22000022−22−2−22−222-2-222-2-20000000022-2-222-2-2-220000-2222−2−222−2−2−2−222−2−2222-200-22000000000000000000002−22−2−22−2200000000
χ4622-2-222-2-2-2200-22000022−22−2−22−222-2-222-2-200000000-2-222-2-222-220000-2222−2−222−2−2−2−222−2−222-22002-200000000000000000000−22−222−22−200000000
χ4722-2-222-2-2-2200-2200002−22−222−22−22-2-222-2-20000000022-2-222-2-2-220000-22−2−222−2−22222−2−222−2−22-200-2200000000000000000000−22−222−22−200000000
χ4822-2-222-2-2-2200-2200002−22−222−22−22-2-222-2-200000000-2-222-2-222-220000-22−2−222−2−22222−2−222−2−2-22002-2000000000000000000002−22−2−22−2200000000
χ4922-2-2-2-2222-200-22000022−2−222−2−222-2-2-2-2220000000022-2-2-2-2222-20000-2222−2−2−2−22222−2−2−2−222-2200-22000000000000000000002−2−222−2−2200000000
χ5022-2-2-2-2222-200-22000022−2−222−2−222-2-2-2-22200000000-2-22222-2-22-20000-2222−2−2−2−22222−2−2−2−2222-2002-200000000000000000000−222−2−222−200000000
χ5122-2-2-2-2222-200-2200002−222−2−222−22-2-2-2-2220000000022-2-2-2-2222-20000-22−2−22222−2−2−2−22222−2−2-2200-2200000000000000000000−222−2−222−200000000
χ5222-2-2-2-2222-200-2200002−222−2−222−22-2-2-2-22200000000-2-22222-2-22-20000-22−2−22222−2−2−2−22222−2−22-2002-2000000000000000000002−2−222−2−2200000000
χ5322-2-2-2-222-22002-200002i2−i2−i2i2−i2i2i2−i22-2-2-2-2220000000022-2-2-2-222-2200002-2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i22-2002-200000000000000000000i2−i2−i2i2−i2i2i2−i200000000
χ5422-2-2-2-222-22002-200002i2−i2−i2i2−i2i2i2−i22-2-2-2-22200000000-2-22222-2-2-2200002-2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-2200-2200000000000000000000−i2i2i2−i2i2−i2−i2i200000000
χ5522-2-2-2-222-22002-200002−i2i2i2−i2i2−i2−i2i22-2-2-2-2220000000022-2-2-2-222-2200002-2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i22-2002-200000000000000000000−i2i2i2−i2i2−i2−i2i200000000
χ5622-2-2-2-222-22002-200002−i2i2i2−i2i2−i2−i2i22-2-2-2-22200000000-2-22222-2-2-2200002-2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-2200-2200000000000000000000i2−i2−i2i2−i2i2i2−i200000000
χ572-22-22i−2i2i−2i002i−2i002-200200000000-22-22i−2i2i−2i2i2i−2i−2i22-2-22-22-22i−2i2i−2i000000000000000000000000002i−2i002-2001+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000000000000
χ582-22-22i−2i2i−2i002i−2i002-200200000000-22-22i−2i2i−2i2i2i−2i−2i22-2-22-22-22i−2i2i−2i000000000000000000000000002i−2i002-200−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000000000000
χ592-22-22i−2i2i−2i002i−2i002-200200000000-22-22i−2i2i−2i2i2i−2i−2i22-2-2-22-22−2i2i−2i2i00000000000000000000000000−2i2i00-22001−i−1+i−1−i1+i−1−i1+i1−i−1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i0000000000000000
χ602-22-22i−2i2i−2i002i−2i002-200200000000-22-22i−2i2i−2i2i2i−2i−2i22-2-2-22-22−2i2i−2i2i00000000000000000000000000−2i2i00-2200−1+i1−i1+i−1−i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i0000000000000000
χ612-22-22i−2i2i−2i00−2i2i00-2200200000000-22-22i−2i2i−2i−2i−2i2i2i-2-2222-22-22i−2i2i−2i00000000000000000000000000−2i2i00-22001−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i0000000000000000
χ622-22-22i−2i2i−2i00−2i2i00-2200200000000-22-22i−2i2i−2i−2i−2i2i2i-2-2222-22-22i−2i2i−2i00000000000000000000000000−2i2i00-2200−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000000000000000
χ632-22-22i−2i2i−2i00−2i2i00-2200200000000-22-22i−2i2i−2i−2i−2i2i2i-2-222-22-22−2i2i−2i2i000000000000000000000000002i−2i002-2001+i−1−i1−i−1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000000000000000
χ642-22-22i−2i2i−2i00−2i2i00-2200200000000-22-22i−2i2i−2i−2i−2i2i2i-2-222-22-22−2i2i−2i2i000000000000000000000000002i−2i002-200−1−i1+i−1+i1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i−1+i1−i−1−i1+i0000000000000000
χ652-22-2−2i2i−2i2i002i−2i00-2200200000000-22-2−2i2i−2i2i2i2i−2i−2i-2-2222-22-2−2i2i−2i2i000000000000000000000000002i−2i00-22001+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i0000000000000000
χ662-22-2−2i2i−2i2i002i−2i00-2200200000000-22-2−2i2i−2i2i2i2i−2i−2i-2-2222-22-2−2i2i−2i2i000000000000000000000000002i−2i00-2200−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000000000000000
χ672-22-2−2i2i−2i2i002i−2i00-2200200000000-22-2−2i2i−2i2i2i2i−2i−2i-2-222-22-222i−2i2i−2i00000000000000000000000000−2i2i002-2001−i−1+i1+i−1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000000000000000
χ682-22-2−2i2i−2i2i002i−2i00-2200200000000-22-2−2i2i−2i2i2i2i−2i−2i-2-222-22-222i−2i2i−2i00000000000000000000000000−2i2i002-200−1+i1−i−1−i1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i−1−i1+i−1+i1−i0000000000000000
χ692-22-2−2i2i−2i2i00−2i2i002-200200000000-22-2−2i2i−2i2i−2i−2i2i2i22-2-22-22-2−2i2i−2i2i00000000000000000000000000−2i2i002-2001−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000000000000
χ702-22-2−2i2i−2i2i00−2i2i002-200200000000-22-2−2i2i−2i2i−2i−2i2i2i22-2-22-22-2−2i2i−2i2i00000000000000000000000000−2i2i002-200−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000000000000
χ712-22-2−2i2i−2i2i00−2i2i002-200200000000-22-2−2i2i−2i2i−2i−2i2i2i22-2-2-22-222i−2i2i−2i000000000000000000000000002i−2i00-22001+i−1−i−1+i1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i0000000000000000
χ722-22-2−2i2i−2i2i00−2i2i002-200200000000-22-2−2i2i−2i2i−2i−2i2i2i22-2-2-22-222i−2i2i−2i000000000000000000000000002i−2i00-2200−1−i1+i1−i−1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i0000000000000000
χ73444444444444444444-144444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ74444444444444444444-1-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000000000000
χ754444444444-4-444-4-4-4-4-100000000-1-1-1-1-1-1-11111111100000000-1-11111-1-1i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5000000000000000000000000000000000000000000
χ764444444444-4-444-4-4-4-4-100000000-1-1-1-1-1-1-11111111100000000-1-11111-1-1−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5000000000000000000000000000000000000000000
χ7744444444-4-444-4-444-4-4-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111111115−55−55−55−5−55−55−55−55000000000000000000000000000000000000000000
χ7844444444-4-444-4-444-4-4-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111−55−55−55−555−55−55−55−5000000000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-444-14i4i4i4i−4i−4i−4i−4i-1-1-1-1-1-1-1111111110000000011-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-444-1−4i−4i−4i−4i4i4i4i4i-1-1-1-1-1-1-1111111110000000011-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ814444-4-4-4-44444-4-4-4-44-4-14i4i−4i−4i4i4i−4i−4i-1-1-11111-1-1-1-1111100000000-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000000000000000000000
χ824444-4-4-4-44444-4-4-4-44-4-1−4i−4i4i4i−4i−4i4i4i-1-1-11111-1-1-1-1111100000000-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i000000000000000000000000000000000000000000
χ834444-4-4-4-444-4-4-4-444-44-100000000-1-1-111111111-1-1-1-100000000-1-111-1-1115−55−5−55−555−55−5−55−55000000000000000000000000000000000000000000
χ844444-4-4-4-444-4-4-4-444-44-100000000-1-1-111111111-1-1-1-100000000-1-111-1-111−55−555−55−5−55−555−55−5000000000000000000000000000000000000000000
χ854444-4-4-4-4-4-44444-4-4-44-100000000-1-1-11111-1-1-1-11111000000001111-1-1-1-1i5−i5i5−i5−i5i5−i5i5−i5i5−i5i5i5−i5i5−i5000000000000000000000000000000000000000000
χ864444-4-4-4-4-4-44444-4-4-44-100000000-1-1-11111-1-1-1-11111000000001111-1-1-1-1−i5i5−i5i5i5−i5i5−i5i5−i5i5−i5−i5i5−i5i5000000000000000000000000000000000000000000
χ874444-4-4-4-4-4-4-4-444444-4-144-4-4-4-444-1-1-111111111-1-1-1-10000000011-1-111-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000000000000000000000
χ884444-4-4-4-4-4-4-4-444444-4-1-4-44444-4-4-1-1-111111111-1-1-1-10000000011-1-111-1-11111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ8944-4-444-4-44-4004-40000-12i2−2i22i2−2i22i2−2i22i2−2i2-111-1-111i5−i5i5−i5i5−i5i5−i500000000-11i5−i5i5−i5-11ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39000000000000000000000000000000000000000000
χ9044-4-444-4-44-4004-40000-12i2−2i22i2−2i22i2−2i22i2−2i2-111-1-111−i5i5−i5i5−i5i5−i5i500000000-11−i5i5−i5i5-11ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29000000000000000000000000000000000000000000
χ9144-4-444-4-44-4004-40000-1−2i22i2−2i22i2−2i22i2−2i22i2-111-1-111i5−i5i5−i5i5−i5i5−i500000000-11i5−i5i5−i5-11−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39000000000000000000000000000000000000000000
χ9244-4-444-4-44-4004-40000-1−2i22i2−2i22i2−2i22i2−2i22i2-111-1-111−i5i5−i5i5−i5i5−i5i500000000-11−i5i5−i5i5-11−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29000000000000000000000000000000000000000000
χ9344-4-444-4-4-4400-440000-122−2222−22−2222−2222-111-1-111i5−i5i5−i5i5−i5i5−i5000000001-1−i5i5−i5i51-1−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39000000000000000000000000000000000000000000
χ9444-4-444-4-4-4400-440000-122−2222−22−2222−2222-111-1-111−i5i5−i5i5−i5i5−i5i5000000001-1i5−i5i5−i51-1ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29000000000000000000000000000000000000000000
χ9544-4-444-4-4-4400-440000-1−2222−222222−2222−22-111-1-111i5−i5i5−i5i5−i5i5−i5000000001-1−i5i5−i5i51-1ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39000000000000000000000000000000000000000000
χ9644-4-444-4-4-4400-440000-1−2222−222222−2222−22-111-1-111−i5i5−i5i5−i5i5−i5i5000000001-1i5−i5i5−i51-1−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29000000000000000000000000000000000000000000
χ9744-4-4-4-4444-400-440000-122−22−222222−22−2222-11111-1-1i5−i5i5−i5−i5i5−i5i500000000-11i5−i5−i5i51-1ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29000000000000000000000000000000000000000000
χ9844-4-4-4-4444-400-440000-122−22−222222−22−2222-11111-1-1−i5i5−i5i5i5−i5i5−i500000000-11−i5i5i5−i51-1−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39000000000000000000000000000000000000000000
χ9944-4-4-4-4444-400-440000-1−222222−22−222222−22-11111-1-1i5−i5i5−i5−i5i5−i5i500000000-11i5−i5−i5i51-1−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29000000000000000000000000000000000000000000
χ10044-4-4-4-4444-400-440000-1−222222−22−222222−22-11111-1-1−i5i5−i5i5i5−i5i5−i500000000-11−i5i5i5−i51-1ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39000000000000000000000000000000000000000000
χ10144-4-4-4-444-44004-40000-12i2−2i2−2i22i2−2i22i22i2−2i2-11111-1-1i5−i5i5−i5−i5i5−i5i5000000001-1−i5i5i5−i5-11ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29000000000000000000000000000000000000000000
χ10244-4-4-4-444-44004-40000-12i2−2i2−2i22i2−2i22i22i2−2i2-11111-1-1−i5i5−i5i5i5−i5i5−i5000000001-1i5−i5−i5i5-11ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39000000000000000000000000000000000000000000
χ10344-4-4-4-444-44004-40000-1−2i22i22i2−2i22i2−2i2−2i22i2-11111-1-1i5−i5i5−i5−i5i5−i5i5000000001-1−i5i5i5−i5-11−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29000000000000000000000000000000000000000000
χ10444-4-4-4-444-44004-40000-1−2i22i22i2−2i22i2−2i2−2i22i2-11111-1-1−i5i5−i5i5i5−i5i5−i5000000001-1i5−i5−i5i5-11−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39000000000000000000000000000000000000000000
χ1054-4-444i−4i−4i4i0000000000400000000-4-444i−4i−4i4i000000004-4-444i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1064-4-444i−4i−4i4i0000000000400000000-4-444i−4i−4i4i00000000-444-4−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-44−4i4i4i−4i0000000000400000000-4-44−4i4i4i−4i000000004-4-44−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1084-4-44−4i4i4i−4i0000000000400000000-4-44−4i4i4i−4i00000000-444-44i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-88i−8i8i−8i008i−8i008-800-2000000002-22−2i2i−2i2i−2i−2i2i2i-2-22200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88i−8i8i−8i00−8i8i00-8800-2000000002-22−2i2i−2i2i2i2i−2i−2i22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8−8i8i−8i8i008i−8i00-8800-2000000002-222i−2i2i−2i−2i−2i2i2i22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8−8i8i−8i8i00−8i8i008-800-2000000002-222i−2i2i−2i2i2i−2i−2i-2-22200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888i−8i−8i8i0000000000-20000000022-2−2i2i2i−2i25−25−2525−2i52i52i5−2i500000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-888i−8i−8i8i0000000000-20000000022-2−2i2i2i−2i−252525−252i5−2i5−2i52i500000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88−8i8i8i−8i0000000000-20000000022-22i−2i−2i2i25−25−25252i5−2i5−2i52i500000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88−8i8i8i−8i0000000000-20000000022-22i−2i−2i2i−252525−25−2i52i52i5−2i500000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.