Finite Group Databasebeta

← Group #14282796

Character table — Group #14282796

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444888888888888888888881010101010101010101010101010101020202020202020202020202020202020202020202020202020202020242424242424242424246060606060606060120120
order1222444436661212121244510101012121212202020201520202020303030606060606060606060606060224444446666121212124444444412121212121212121212121212121212121212124420202020202020208888888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111111111iiii−i−i−i−i-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111111111−i−i−i−iiiii-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11
χ91111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-111-1-11-1
χ101111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111-1-111-11
χ111111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-111-1-1111-1
χ121111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-1111111-1-111-1-1-11
χ131111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii1-11111-1-1-1-1ii−i−i−i−iii-11
χ141111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii-11-1-1-1-11111−i−iiiii−i−i1-1
χ151111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1-11111-1-1-1-1−i−iiiii−i−i-11
χ161111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-1-1-1-11111ii−i−i−i−iii1-1
χ172222222222222222-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-222-2-222-2-22222222200000000-2-2-2-2000000000000000000000000000000000000
χ182222222222222222-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2000000002222000000000000000000000000000000000000
χ1922222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2022222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100000000000000000000
χ2122222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000
χ2222222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-1-1-1-1-1000000001111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-1-1-1-1-1000000001111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2522222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-222-2-2221111111100000000-1-1-1-133−3−333−3−3−3−333−3−33300000000000000000000
χ2622222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-222-2-2221111111100000000-1-1-1-1−3−333−3−33333−3−333−3−300000000000000000000
χ272222-2-2-2-22222-2-2-2-2-222222-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-200000000-2-222000000000000000000000000000000000000
χ282222-2-2-2-22222-2-2-2-2-222222-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222220000000022-2-2000000000000000000000000000000000000
χ292222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-1111122-2-222-2-2-1-111-1-1-1-11111-1-1-1-1111100000000000000000000
χ302222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-11111-2-222-2-222-1-1111111-1-1-1-11111-1-1-1-100000000000000000000
χ312222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-12i2i−2i−2i−2i−2i2i2i11-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ322222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-1−2i−2i2i2i2i2i−2i−2i11-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ332222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-111110000000011-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ342222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-111110000000011-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ352222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-2-2-222221111-1-1-1-100000000-1-11133−3−3−3−333−3−33333−3−300000000000000000000
χ362222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-2-2-222221111-1-1-1-100000000-1-111−3−33333−3−333−3−3−3−33300000000000000000000
χ3722-2-22i2i−2i−2i22-2-22i2i−2i−2i002-22-200002i2i−2i−2i200002-2-200002i2i−2i−2i00002-2002i−2i0022-2-22i2i−2i−2i000000000000000000000000000000000000002−2−i2i22−2−i2i200
χ3822-2-22i2i−2i−2i22-2-22i2i−2i−2i002-22-200002i2i−2i−2i200002-2-200002i2i−2i−2i00002-2002i−2i0022-2-22i2i−2i−2i00000000000000000000000000000000000000−22i2−i2−22i2−i200
χ3922-2-22i2i−2i−2i22-2-22i2i−2i−2i002-22-200002i2i−2i−2i200002-2-200002i2i−2i−2i0000-2200−2i2i00-2-222−2i−2i2i2i00000000000000000000000000000000000000−i2i2−22i2−i22−200
χ4022-2-22i2i−2i−2i22-2-22i2i−2i−2i002-22-200002i2i−2i−2i200002-2-200002i2i−2i−2i0000-2200−2i2i00-2-222−2i−2i2i2i00000000000000000000000000000000000000i2−i22−2−i2i2−2200
χ4122-2-2−2i−2i2i2i22-2-2−2i−2i2i2i002-22-20000−2i−2i2i2i200002-2-20000−2i−2i2i2i00002-200−2i2i0022-2-2−2i−2i2i2i000000000000000000000000000000000000002−2i2−i22−2i2−i200
χ4222-2-2−2i−2i2i2i22-2-2−2i−2i2i2i002-22-20000−2i−2i2i2i200002-2-20000−2i−2i2i2i00002-200−2i2i0022-2-2−2i−2i2i2i00000000000000000000000000000000000000−22−i2i2−22−i2i200
χ4322-2-2−2i−2i2i2i22-2-2−2i−2i2i2i002-22-20000−2i−2i2i2i200002-2-20000−2i−2i2i2i0000-22002i−2i00-2-2222i2i−2i−2i00000000000000000000000000000000000000−i2i22−2i2−i2−2200
χ4422-2-2−2i−2i2i2i22-2-2−2i−2i2i2i002-22-20000−2i−2i2i2i200002-2-20000−2i−2i2i2i0000-22002i−2i00-2-2222i2i−2i−2i00000000000000000000000000000000000000i2−i2−22−i2i22−200
χ452-2-222-22-22-22-22-22-20022-2-200002-22-220000-22-200002-22-20000002i−2i002i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i2i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00000000000000000000
χ462-2-222-22-22-22-22-22-20022-2-200002-22-220000-22-200002-22-20000002i−2i002i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i2i−2i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00000000000000000000
χ472-2-222-22-22-22-22-22-20022-2-200002-22-220000-22-200002-22-2000000−2i2i00−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00000000000000000000
χ482-2-222-22-22-22-22-22-20022-2-200002-22-220000-22-200002-22-2000000−2i2i00−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i−2i2i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00000000000000000000
χ492-2-222-22-2-11-11-11-110022-2-23−33−32-22-2-100001-1133−3−3-11-1133−3−3002i−2i002i−2i−i3i3−i3i3−i3i3−i3i31+i−1−i1+i−1−i1−i−1+i1−i−1+i−ii−ii−ζ22+ζ44−ζ46+ζ68+ζ92−ζ94+ζ116−ζ118ζ22−ζ44+ζ46−ζ68−ζ92+ζ94−ζ116+ζ118ζ4−ζ14+ζ28−ζ38+ζ52−ζ62+ζ76−ζ86−ζ4+ζ14−ζ28+ζ38−ζ52+ζ62−ζ76+ζ86−ζ22+ζ44−ζ46+ζ68+ζ92−ζ94+ζ116−ζ118ζ22−ζ44+ζ46−ζ68−ζ92+ζ94−ζ116+ζ118ζ4−ζ14+ζ28−ζ38+ζ52−ζ62+ζ76−ζ86−ζ4+ζ14−ζ28+ζ38−ζ52+ζ62−ζ76+ζ86ζ22+ζ44+ζ46+ζ68+ζ92+ζ94+ζ116+ζ118−ζ22−ζ44−ζ46−ζ68−ζ92−ζ94−ζ116−ζ118ζ4+ζ14+ζ28+ζ38+ζ52+ζ62+ζ76+ζ86−ζ4−ζ14−ζ28−ζ38−ζ52−ζ62−ζ76−ζ86ζ22+ζ44+ζ46+ζ68+ζ92+ζ94+ζ116+ζ118−ζ22−ζ44−ζ46−ζ68−ζ92−ζ94−ζ116−ζ118ζ4+ζ14+ζ28+ζ38+ζ52+ζ62+ζ76+ζ86−ζ4−ζ14−ζ28−ζ38−ζ52−ζ62−ζ76−ζ8600000000000000000000
χ502-2-222-22-2-11-11-11-110022-2-23−33−32-22-2-100001-1133−3−3-11-1133−3−3002i−2i002i−2i−i3i3−i3i3−i3i3−i3i3−1−i1+i−1−i1+i−1+i1−i−1+i1−i−ii−iiζ22−ζ44+ζ46−ζ68−ζ92+ζ94−ζ116+ζ118−ζ22+ζ44−ζ46+ζ68+ζ92−ζ94+ζ116−ζ118−ζ4+ζ14−ζ28+ζ38−ζ52+ζ62−ζ76+ζ86ζ4−ζ14+ζ28−ζ38+ζ52−ζ62+ζ76−ζ86ζ22−ζ44+ζ46−ζ68−ζ92+ζ94−ζ116+ζ118−ζ22+ζ44−ζ46+ζ68+ζ92−ζ94+ζ116−ζ118−ζ4+ζ14−ζ28+ζ38−ζ52+ζ62−ζ76+ζ86ζ4−ζ14+ζ28−ζ38+ζ52−ζ62+ζ76−ζ86−ζ22−ζ44−ζ46−ζ68−ζ92−ζ94−ζ116−ζ118ζ22+ζ44+ζ46+ζ68+ζ92+ζ94+ζ116+ζ118−ζ4−ζ14−ζ28−ζ38−ζ52−ζ62−ζ76−ζ86ζ4+ζ14+ζ28+ζ38+ζ52+ζ62+ζ76+ζ86−ζ22−ζ44−ζ46−ζ68−ζ92−ζ94−ζ116−ζ118ζ22+ζ44+ζ46+ζ68+ζ92+ζ94+ζ116+ζ118−ζ4−ζ14−ζ28−ζ38−ζ52−ζ62−ζ76−ζ86ζ4+ζ14+ζ28+ζ38+ζ52+ζ62+ζ76+ζ8600000000000000000000
χ512-2-222-22-2-11-11-11-110022-2-23−33−32-22-2-100001-1133−3−3-11-1133−3−300−2i2i00−2i2ii3−i3i3−i3i3−i3i3−i31−i−1+i1−i−1+i1+i−1−i1+i−1−ii−ii−iζ4+ζ14+ζ28+ζ38+ζ52+ζ62+ζ76+ζ86−ζ4−ζ14−ζ28−ζ38−ζ52−ζ62−ζ76−ζ86ζ22+ζ44+ζ46+ζ68+ζ92+ζ94+ζ116+ζ118−ζ22−ζ44−ζ46−ζ68−ζ92−ζ94−ζ116−ζ118ζ4+ζ14+ζ28+ζ38+ζ52+ζ62+ζ76+ζ86−ζ4−ζ14−ζ28−ζ38−ζ52−ζ62−ζ76−ζ86ζ22+ζ44+ζ46+ζ68+ζ92+ζ94+ζ116+ζ118−ζ22−ζ44−ζ46−ζ68−ζ92−ζ94−ζ116−ζ118ζ4−ζ14+ζ28−ζ38+ζ52−ζ62+ζ76−ζ86−ζ4+ζ14−ζ28+ζ38−ζ52+ζ62−ζ76+ζ86−ζ22+ζ44−ζ46+ζ68+ζ92−ζ94+ζ116−ζ118ζ22−ζ44+ζ46−ζ68−ζ92+ζ94−ζ116+ζ118ζ4−ζ14+ζ28−ζ38+ζ52−ζ62+ζ76−ζ86−ζ4+ζ14−ζ28+ζ38−ζ52+ζ62−ζ76+ζ86−ζ22+ζ44−ζ46+ζ68+ζ92−ζ94+ζ116−ζ118ζ22−ζ44+ζ46−ζ68−ζ92+ζ94−ζ116+ζ11800000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.