Finite Group Databasebeta

← Group #13016431

Character table — Group #13016431

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222224444444444444444444444444455555555888888888888888888888888101010101010101020202020202020202020202020202020202020202020202020204040404040404040
order12224444222244442458888888810101010101010202020202020202044444444101010102020202040404040404040404040404040404040444444444488888888888888888888888888888888
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
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ51111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
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
χ71111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ81111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ911111111-1-1-1-1-1-1-1-1111iiii−i−i−i−i11-1-1-1-111111-1-1-1-11111111111-1-111-1-1iiiiiiii−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−i11-1-1-1-111111-1-1-1-11111111111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1111iiii−i−i−i−i11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ1211111111-1-1-1-1-1-1-1-1111iiii−i−i−i−i11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iii
χ1311111111-1-1-1-1-1-1-1-1111−i−i−i−iiiii11-1-1-1-111111-1-1-1-11111111111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-1111−i−i−i−iiiii11-1-1-1-111111-1-1-1-11111111111-1-111-1-1−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−iiiii11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ1611111111-1-1-1-1-1-1-1-1111−i−i−i−iiiii11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i
χ171111-1-1-1-111-1-111-1-1-111ii−i−iii−i−i1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1111-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1i−ii−ii−ii−i
χ181111-1-1-1-111-1-111-1-1-111ii−i−iii−i−i1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1111-1ii−i−iii−i−i-1-111-1-111-1-111-1-111−ii−ii−ii−ii
χ191111-1-1-1-111-1-111-1-1-111ii−i−iii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-11-111-11-1
χ201111-1-1-1-111-1-111-1-1-111ii−i−iii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-11−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11
χ211111-1-1-1-111-1-111-1-1-111−i−iii−i−iii1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1111-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−ii−ii−ii−ii
χ221111-1-1-1-111-1-111-1-1-111−i−iii−i−iii1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1111-1−i−iii−i−iii-1-111-1-111-1-111-1-111i−ii−ii−ii−i
χ231111-1-1-1-111-1-111-1-1-111−i−iii−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-11ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-11-1-11-11
χ241111-1-1-1-111-1-111-1-1-111−i−iii−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-11-111-11-1
χ251111-1-1-1-1-1-111-1-111-11111-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ261111-1-1-1-1-1-111-1-111-11111-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ271111-1-1-1-1-1-111-1-111-11111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-11111-1-111-1-1-1-111-1-11111-1-1-111-11-1-11
χ281111-1-1-1-1-1-111-1-111-11111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11-111-1
χ291111-1-1-1-1-1-111-1-111-111-1-11111-1-111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ301111-1-1-1-1-1-111-1-111-111-1-11111-1-111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ311111-1-1-1-1-1-111-1-111-111-1-11111-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11-111-1
χ321111-1-1-1-1-1-111-1-111-111-1-11111-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-11111-1-111-1-1-1-111-111-11-1-11
χ332222222222-2-2-2-222-2-220000000022222222222222222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2-2-200000000000000000000000000000000
χ342222222222-2-2-2-222-2-2200000000222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-222222200000000000000000000000000000000
χ3522222222-2-22222-2-2-2-220000000022-2-2-2-222222-2-2-2-222222222-2-222-2-2220000000000000000-2-2-2-22222-2-200000000000000000000000000000000
χ3622222222-2-22222-2-2-2-220000000022-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000000000002222-2-2-2-22200000000000000000000000000000000
χ372222-2-2-2-22222-2-2-2-22-22000000002222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000022-2-222-2-2-2200000000000000000000000000000000
χ382222-2-2-2-22222-2-2-2-22-22000000002222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000-2-222-2-2222-200000000000000000000000000000000
χ392222-2-2-2-2-2-2-2-222222-220000000022-2-2-2-22-2-2-2-222222222-2-2-2-222-2-2-2-2220000000000000000-2-222-2-222-2200000000000000000000000000000000
χ402222-2-2-2-2-2-2-2-222222-220000000022-2-2-2-22-2-2-2-22222-2-2-2-2222222-2-2-2-222000000000000000022-2-222-2-22-200000000000000000000000000000000
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χ422-22-22i2i−2i−2i002-22i−2i00002i2−i22−22−2i2−i22-20000-22i2i−2i−2i0000-2-222−2i−2i2i2i002-2002i−2ii2i2−i2−i222−2−222−2−2i2i2−i2−i20000-22−2i2i00−i2i2−22−22−i2i2000000000000000000000000
χ432-22-22i2i−2i−2i002-22i−2i00002−i2i2−22−22−i2i22-20000-22i2i−2i−2i000022-2-22i2i−2i−2i002-2002i−2i−i2−i2i2i2−2−222−2−222−i2−i2i2i200002-22i−2i00−i2i2−22−22−i2i2000000000000000000000000
χ442-22-22i2i−2i−2i002-22i−2i00002−i2i2−22−22−i2i22-20000-22i2i−2i−2i0000-2-222−2i−2i2i2i002-2002i−2i−i2−i2i2i2−2−222−2−222−i2−i2i2i20000-22−2i2i00i2−i22−22−2i2−i2000000000000000000000000
χ452-22-22i2i−2i−2i00-22−2i2i000022−2−i2i2i2−i2−222-20000-22i2i−2i−2i000022-2-22i2i−2i−2i00-2200−2i2i22−2−2−i2−i2i2i2i2i2−i2−i2−2−2220000-22−2i2i002−2−i2i2i2−i2−22000000000000000000000000
χ462-22-22i2i−2i−2i00-22−2i2i000022−2−i2i2i2−i2−222-20000-22i2i−2i−2i0000-2-222−2i−2i2i2i00-2200−2i2i22−2−2−i2−i2i2i2i2i2−i2−i2−2−22200002-22i−2i00−22i2−i2−i2i22−2000000000000000000000000
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χ492-22-2−2i−2i2i2i002-2−2i2i00002i2−i2−22−22i2−i22-20000-2−2i−2i2i2i000022-2-2−2i−2i2i2i002-200−2i2ii2i2−i2−i2−2−222−2−222i2i2−i2−i200002-2−2i2i00i2−i2−22−22i2−i2000000000000000000000000
χ502-22-2−2i−2i2i2i002-2−2i2i00002i2−i2−22−22i2−i22-20000-2−2i−2i2i2i0000-2-2222i2i−2i−2i002-200−2i2ii2i2−i2−i2−2−222−2−222i2i2−i2−i20000-222i−2i00−i2i22−22−2−i2i2000000000000000000000000
χ512-22-2−2i−2i2i2i002-2−2i2i00002−i2i22−22−2−i2i22-20000-2−2i−2i2i2i000022-2-2−2i−2i2i2i002-200−2i2i−i2−i2i2i222−2−222−2−2−i2−i2i2i200002-2−2i2i00−i2i22−22−2−i2i2000000000000000000000000
χ522-22-2−2i−2i2i2i002-2−2i2i00002−i2i22−22−2−i2i22-20000-2−2i−2i2i2i0000-2-2222i2i−2i−2i002-200−2i2i−i2−i2i2i222−2−222−2−2−i2−i2i2i20000-222i−2i00i2−i2−22−22i2−i2000000000000000000000000
χ532-22-2−2i−2i2i2i00-222i−2i000022−2i2−i2−i2i2−222-20000-2−2i−2i2i2i000022-2-2−2i−2i2i2i00-22002i−2i22−2−2i2i2−i2−i2−i2−i2i2i2−2−2220000-222i−2i002−2i2−i2−i2i2−22000000000000000000000000
χ542-22-2−2i−2i2i2i00-222i−2i000022−2i2−i2−i2i2−222-20000-2−2i−2i2i2i0000-2-2222i2i−2i−2i00-22002i−2i22−2−2i2i2−i2−i2−i2−i2i2i2−2−22200002-2−2i2i00−22−i2i2i2−i22−2000000000000000000000000
χ552-22-2−2i−2i2i2i00-222i−2i00002−22−i2i2i2−i22−22-20000-2−2i−2i2i2i000022-2-2−2i−2i2i2i00-22002i−2i−2−222−i2−i2i2i2i2i2−i2−i222−2−20000-222i−2i00−22−i2i2i2−i22−2000000000000000000000000
χ562-22-2−2i−2i2i2i00-222i−2i00002−22−i2i2i2−i22−22-20000-2−2i−2i2i2i0000-2-2222i2i−2i−2i00-22002i−2i−2−222−i2−i2i2i2i2i2−i2−i222−2−200002-2−2i2i002−2i2−i2−i2i2−22000000000000000000000000
χ572-2-222i−2i2i−2i2-200002i−2i00200000000-2222-2-2-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2-22-20000000000000000000000002i−2i2-2000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000
χ582-2-222i−2i2i−2i2-200002i−2i00200000000-2222-2-2-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2-22-20000000000000000000000002i−2i2-200000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000
χ592-2-222i−2i2i−2i2-200002i−2i00200000000-2222-2-2-22i−2i2i−2i2i2i−2i−2i−2i2i−2i2i-22-22000000000000000000000000−2i2i-22000000000000001−i−1+i−1−i1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1+i−1−i−1+i1−i00000000
χ602-2-222i−2i2i−2i2-200002i−2i00200000000-2222-2-2-22i−2i2i−2i2i2i−2i−2i−2i2i−2i2i-22-22000000000000000000000000−2i2i-2200000000000000−1+i1−i1+i−1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1−i1+i1−i−1+i00000000
χ612-2-222i−2i2i−2i-220000−2i2i00200000000-22-2-222-22i−2i2i−2i−2i−2i2i2i2i−2i2i−2i2-22-2000000000000000000000000−2i2i-22000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i1+i−1−i−1+i1−i00000000
χ622-2-222i−2i2i−2i-220000−2i2i00200000000-22-2-222-22i−2i2i−2i−2i−2i2i2i2i−2i2i−2i2-22-2000000000000000000000000−2i2i-2200000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−1−i1+i1−i−1+i00000000
χ632-2-222i−2i2i−2i-220000−2i2i00200000000-22-2-222-22i−2i2i−2i−2i−2i2i2i−2i2i−2i2i-22-220000000000000000000000002i−2i2-2000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i1−i−1+i1+i−1−i00000000
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χ1074-44-4−4i−4i4i4i00-444i−4i0000-1−2222−2i22i22i2−2i222−22-115−55−51ii−i−i−i5i5−i5i500000000−551-1i5−i5−ii−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39000000000000000000000000000000000000000000
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χ10988-8-88-8-880000000000-2000000002225−25−2525-2-222-225−25−252500000000000000000000000000000000000000000000000000000000000000000000000000
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χ1168-8-88−8i8i−8i8i-8800008i−8i00-2000000002-222-2-222i−2i2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000

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