Finite Group Databasebeta

← Group #13171930

Character table — Group #13171930

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order122222333666666666444433366666666666666666664412121212121212123666666666662444661212121212121212121212121212121212124444666121212121212121212244466121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-11-11111-1-111-1-11111111111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-11-11-1-1-1-11111111111111111-1-1-1-1-1-1-111-1-1-111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-11-11-111-1-111-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11-11-1-111-1-111-1-1-1-11111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1
χ101111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-11-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-1-1-1-111-111-1-1-1-1-11111-1-111-1-111
χ111111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-11-111111-1-11-1-111111-1-1-1-1-1-111-1-111
χ121111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-1
χ131111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ141111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-1-1111-1-11111-1-111-1-1-1-11111-1-111111-11-1-1-1-1-1111-1-111111-1-1-1-1-1-11111-1-1
χ151111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-11-111111-1-1-111-1-1-1-1-11111-1-11111-1-1
χ161111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ1722222222-1222-12-1-1222222-1-122222-1-1-1-1-1-1-1-1-122-1-12-122-1-1-1-12222-1-1-122-1-1-1-1-1-1-102020000-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000022000-1-1-1-12020-1-100-1-10000000000
χ1822222222-1222-12-1-1222222-1-122222-1-1-1-1-1-1-1-1-122-1-12-122-1-1-1-12222-1-1-122-1-1-1-1-1-1-10-20-2000011-1-11122-1-1-1-1-1-1-1-10000000-2-20001111-20-201100110000000000
χ1922222222-1222-12-1-122-2-2-2-2-1-122222-1-1-1-1-1-1-1-1-122-1-12-1-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-102020000-1-111-1-1-2-211111111000000022000-1-1-1-1-20-201100110000000000
χ2022222222-1222-12-1-122-2-2-2-2-1-122222-1-1-1-1-1-1-1-1-122-1-12-1-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-10-20-20000111111-2-2111111110000000-2-200011112020-1-100-1-10000000000
χ212222222-1222-12-122-1222222-1-122-1-1222-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-12020-1-1-1-1002200-1-1-1-1-1-1-1-1-1-100002-1-1002-1-10000020200-1-100-1-100000000
χ222222222-1222-12-122-1222222-1-122-1-1222-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-20-201111002200-1-1-1-1-1-1-1-1-1-10000-21100-21100000-20-20011001100000000
χ232222222-1222-12-122-12-2-2-2-22-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-12020-1-1-1-100-2-200111111111100002-1-1002-1-100000-20-20011001100000000
χ242222222-1222-12-122-12-2-2-2-22-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-20-20111100-2-20011111111110000-21100-2110000020200-1-100-1-100000000
χ25222222-122-1-1222222-10000-12-1-1-12222-1222222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-12222222222002200000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ26222222-122-1-1222222-10000-12-1-1-12222-1222222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-12-22-22222-2-200-2-20000000000-2-2-2-2-1-1-111-1-1-1111100000000000011110000
χ27222222-122-1-1222222-10000-12-1-1-12222-1222222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-1-22-22-2-2-2-22200220000000000-2-2-2-2111-1-1111-1-1-1-100000000000011110000
χ28222222-122-1-1222222-10000-12-1-1-12222-1222222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-200-2-200000000002222111111111111000000000000-1-1-1-10000
χ292222-2-222-1222-12-1-1222222-1-12-2-2-2-211-1-1-1111122-1-12-1-2-2-1-1-1-12222-111-2-2-1-1-11111020-200001111-1-1-2-2-1-1-1-1111100000002-2000-1-11120-20-1-100110000000000
χ302222-2-222-1222-12-1-1222222-1-12-2-2-2-211-1-1-1111122-1-12-1-2-2-1-1-1-12222-111-2-2-1-1-111110-2020000-1-11111-2-2-1-1-1-111110000000-2200011-1-1-20201100-1-10000000000
χ312222-2-222-1222-12-1-122-2-2-2-2-1-12-2-2-2-211-1-1-1111122-1-12-1221111-2-2-2-2-111-2-2-1-1-11111020-2000011-1-1-1-1221111-1-1-1-100000002-2000-1-111-20201100-1-10000000000
χ322222-2-222-1222-12-1-122-2-2-2-2-1-12-2-2-2-211-1-1-1111122-1-12-1221111-2-2-2-2-111-2-2-1-1-111110-2020000-1-1-1-111221111-1-1-1-10000000-2200011-1-120-20-1-100110000000000
χ332222-2-22-1222-12-122-1222222-1-1-2-211-2-22-1-11111-1-122-1-1-2-22222-1-1-1-1-1-2-211-1-1-1111120-20-1-11100-2-20011-1-1-1-1111100002-1-100-2110000020-2001100-1-100000000
χ342222-2-22-1222-12-122-1222222-1-1-2-211-2-22-1-11111-1-122-1-1-2-22222-1-1-1-1-1-2-211-1-1-11111-202011-1-100-2-20011-1-1-1-111110000-211002-1-100000-20200-1-1001100000000
χ352222-2-22-1222-12-122-12-2-2-2-22-1-1-2-211-2-22-1-11111-1-122-1-122-2-2-2-21111-1-2-211-1-1-1111120-20-1-111002200-1-11111-1-1-1-100002-1-100-21100000-20200-1-1001100000000
χ362222-2-22-1222-12-122-12-2-2-2-22-1-1-2-211-2-22-1-11111-1-122-1-122-2-2-2-21111-1-2-211-1-1-11111-202011-1-1002200-1-11111-1-1-1-10000-211002-1-10000020-2001100-1-100000000
χ372222-2-2-122-1-1222222-10000-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-120000000000-11111-1-1-1111122-2-222-2-2-2-20022000000000022-2-2-1-1-1-11111-1-111000000000000-1-1110000
χ382222-2-2-122-1-1222222-10000-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-120000000000-11111-1-1-111112-2-2222-2-22200-2-20000000000-2-222-1-1-11-111111-1-100000000000011-1-10000
χ392222-2-2-122-1-1222222-10000-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-120000000000-11111-1-1-11111-222-2-2-222-2-200220000000000-2-222111-11-1-1-1-1-11100000000000011-1-10000
χ402222-2-2-122-1-1222222-10000-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-120000000000-11111-1-1-11111-2-222-2-2222200-2-2000000000022-2-21111-1-1-1-111-1-1000000000000-1-1110000
χ4122-2-2002222-2-2-2-22-22-222-2-2222000000-2-2-200002-22-2-220022-2-222-2-2200002-2-20000000000000000000022-2-20000002i−2i000000000000000000000000002i−2i002i−2i
χ4222-2-2002222-2-2-2-22-22-222-2-2222000000-2-2-200002-22-2-220022-2-222-2-2200002-2-20000000000000000000022-2-2000000−2i2i00000000000000000000000000−2i2i00−2i2i
χ4322-2-2002222-2-2-2-22-22-2-2-222222000000-2-2-200002-22-2-2200-2-222-2-222200002-2-200000000000000000000-2-2220000002i−2i000000000000000000000000002i−2i00−2i2i
χ4422-2-2002222-2-2-2-22-22-2-2-222222000000-2-2-200002-22-2-2200-2-222-2-222200002-2-200000000000000000000-2-222000000−2i2i00000000000000000000000000−2i2i002i−2i
χ452-22-22-2222-2-22-2-2-22-222i−2i2i−2i2222-22-22-222-222-2-2-2-2-2-22-22i−2i2i−2i2i−2i2i−2i2i−2i22-22-2-22-222-2-200000000002i−2i002i−2i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ462-22-22-2222-2-22-2-2-22-22−2i2i−2i2i2222-22-22-222-222-2-2-2-2-2-22-2−2i2i−2i2i−2i2i−2i2i−2i2i22-22-2-22-222-2-20000000000−2i2i00−2i2i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ472-22-22-222-1-2-221-21-1-222i−2i2i−2i-1-122-22-2-11-1-11-1-111-2-211212i−2i−ii−ii2i−2i2i−2i-1-112-21-11-1-111000000003−3−ii3−32i−2i−ii−ii−i−iii0000000000003−33−30000−i3i300−i3i30000000000
χ482-22-22-222-1-2-221-21-1-222i−2i2i−2i-1-122-22-2-11-1-11-1-111-2-211212i−2i−ii−ii2i−2i2i−2i-1-112-21-11-1-11100000000−33−ii−332i−2i−ii−ii−i−iii000000000000−33−330000i3−i300i3−i30000000000
χ492-22-22-222-1-2-221-21-1-22−2i2i−2i2i-1-122-22-2-11-1-11-1-111-2-21121−2i2ii−ii−i−2i2i−2i2i-1-112-21-11-1-111000000003−3i−i3−3−2i2ii−ii−iii−i−i0000000000003−33−30000i3−i300i3−i30000000000
χ502-22-22-222-1-2-221-21-1-22−2i2i−2i2i-1-122-22-2-11-1-11-1-111-2-21121−2i2ii−ii−i−2i2i−2i2i-1-112-21-11-1-11100000000−33i−i−33−2i2ii−ii−iii−i−i000000000000−33−330000−i3i300−i3i30000000000
χ512-22-22-22-12-2-2-1-21-22122i−2i2i−2i2-1-12-2-112-22-11-1-11111-2-2-112i−2i2i−2i2i−2i−ii−ii-12-2-111-11-1-1110000−i3i3−i3i3002i−2i00−ii−ii−ii−i−iii00000−i3i3000−i3i300000000003−3003−300000000
χ522-22-22-22-12-2-2-1-21-22122i−2i2i−2i2-1-12-2-112-22-11-1-11111-2-2-112i−2i2i−2i2i−2i−ii−ii-12-2-111-11-1-1110000i3−i3i3−i3002i−2i00−ii−ii−ii−i−iii00000i3−i3000i3−i30000000000−3300−3300000000
χ532-22-22-22-12-2-2-1-21-2212−2i2i−2i2i2-1-12-2-112-22-11-1-11111-2-2-11−2i2i−2i2i−2i2ii−ii−i-12-2-111-11-1-1110000−i3i3−i3i300−2i2i00i−ii−ii−iii−i−i00000−i3i3000−i3i30000000000−3300−3300000000
χ542-22-22-22-12-2-2-1-21-2212−2i2i−2i2i2-1-12-2-112-22-11-1-11111-2-2-11−2i2i−2i2i−2i2ii−ii−i-12-2-111-11-1-1110000i3−i3i3−i300−2i2i00i−ii−ii−iii−i−i00000i3−i3000i3−i300000000003−3003−300000000
χ552-22-2-22222-2-22-2-2-22-222i−2i2i−2i222-22-22-2222-2-2-222-2-2-2-22-2−2i2i2i−2i2i−2i2i−2i2i−2i2-22-22-22-2-2-2220000000000−2i2i00−2i2i2i−2i2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ562-22-2-22222-2-22-2-2-22-22−2i2i−2i2i222-22-22-2222-2-2-222-2-2-2-22-22i−2i−2i2i−2i2i−2i2i−2i2i2-22-22-22-2-2-22200000000002i−2i002i−2i−2i2i−2i2i2i2i−2i−2i000000000000000000000000000000000000
χ572-22-2-2222-1-2-221-21-1-222i−2i2i−2i-1-12-22-221-1-1-1111-1-1-2-21121−2i2i−ii−ii2i−2i2i−2i-11-1-221-1111-1-1000000003−3i−i−33−2i2i−ii−iiii−i−i000000000000−333−30000i3−i300−i3i30000000000
χ582-22-2-2222-1-2-221-21-1-222i−2i2i−2i-1-12-22-221-1-1-1111-1-1-2-21121−2i2i−ii−ii2i−2i2i−2i-11-1-221-1111-1-100000000−33i−i3−3−2i2i−ii−iiii−i−i0000000000003−3−330000−i3i300i3−i30000000000
χ592-22-2-2222-1-2-221-21-1-22−2i2i−2i2i-1-12-22-221-1-1-1111-1-1-2-211212i−2ii−ii−i−2i2i−2i2i-11-1-221-1111-1-1000000003−3−ii−332i−2ii−ii−i−i−iii000000000000−333−30000−i3i300i3−i30000000000
χ602-22-2-2222-1-2-221-21-1-22−2i2i−2i2i-1-12-22-221-1-1-1111-1-1-2-211212i−2ii−ii−i−2i2i−2i2i-11-1-221-1111-1-100000000−33−ii3−32i−2ii−ii−i−i−iii0000000000003−3−330000i3−i300−i3i30000000000
χ612-22-2-222-12-2-2-1-21-22122i−2i2i−2i2-1-1-221-1-222-1111-1-111-2-2-11−2i2i2i−2i2i−2i−ii−ii-1-221-11-1111-1-10000−i3i3i3−i300−2i2i00i−i−ii−iiii−i−i00000−i3i3000i3−i30000000000−33003−300000000
χ622-22-2-222-12-2-2-1-21-22122i−2i2i−2i2-1-1-221-1-222-1111-1-111-2-2-11−2i2i2i−2i2i−2i−ii−ii-1-221-11-1111-1-10000i3−i3−i3i300−2i2i00i−i−ii−iiii−i−i00000i3−i3000−i3i300000000003−300−3300000000
χ632-22-2-222-12-2-2-1-21-2212−2i2i−2i2i2-1-1-221-1-222-1111-1-111-2-2-112i−2i−2i2i−2i2ii−ii−i-1-221-11-1111-1-10000−i3i3i3−i3002i−2i00−iii−ii−i−i−iii00000−i3i3000i3−i300000000003−300−3300000000
χ642-22-2-222-12-2-2-1-21-2212−2i2i−2i2i2-1-1-221-1-222-1111-1-111-2-2-112i−2i−2i2i−2i2ii−ii−i-1-221-11-1111-1-10000i3−i3−i3i3002i−2i00−iii−ii−i−i−iii00000i3−i3000−i3i30000000000−33003−300000000
χ652-2-2200222-22-222-2-2-2-22i−2i−2i2i222000000-2-220000-22-22-2-2002i−2i−2i2i2i−2i−2i2i20000-2-22000000000000000000002i−2i−2i2i00002i−2i000000000000000000000000002i−2i002-200
χ662-2-2200222-22-222-2-2-2-22i−2i−2i2i222000000-2-220000-22-22-2-2002i−2i−2i2i2i−2i−2i2i20000-2-22000000000000000000002i−2i−2i2i0000−2i2i00000000000000000000000000−2i2i00-2200
χ672-2-2200222-22-222-2-2-2-2−2i2i2i−2i222000000-2-220000-22-22-2-200−2i2i2i−2i−2i2i2i−2i20000-2-2200000000000000000000−2i2i2i−2i00002i−2i000000000000000000000000002i−2i00-2200
χ682-2-2200222-22-222-2-2-2-2−2i2i2i−2i222000000-2-220000-22-22-2-200−2i2i2i−2i−2i2i2i−2i20000-2-2200000000000000000000−2i2i2i−2i0000−2i2i00000000000000000000000000−2i2i002-200
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χ914-44-44-44-2-2-4-4-2222-2244i−4i4i−4i-21-24-4-22-22-21-111-1-12222-2-14i−4i−2i2i−2i2i−2i2i−2i2i1-22-22-11-111-1-10000000000−2i2i00−2i2ii−ii−iii−i−i000000000000000000000000000000000000
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χ994-44-4-444-2-2-4-4-2222-224−4i4i−4i4i-21-2-442-22-2-21-1-1-1112222-2-14i−4i2i−2i2i−2i2i−2i2i−2i12-22-2-11-1-1-1110000000000−2i2i00−2i2i−ii−iiii−i−i000000000000000000000000000000000000
χ1004-44-4-44-244224-4-4-44-4-20000-24-22-2-44-44-24-4-4-4442222-2-40000000000-22-22-22-2222-2-2000000000000000000000000000000000000000000000000000000000000
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χ1054-4-440044-2-44-4-2422-4-44i−4i−4i4i-2-2400000022-20000-442-2-4200−2i2i2i−2i4i−4i−4i4i-2000022-200000000000000000000−2i2i2i−2i0000000000000000000000000000000000000000
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χ1114-4-44004-2-2-442-2-2222-4−4i4i4i−4i-21-20000002-113-3-332-22-22-1002i−2i−2i2i2i−2i−2i2i10000-1-113-3-330000000000000000−iii−i−3i3i3i−3i000000000000000000000000000000000000
χ1124-4-44004-2-2-442-2-2222-4−4i4i4i−4i-21-20000002-11-333-32-22-22-1002i−2i−2i2i2i−2i−2i2i10000-1-11-333-30000000000000000−iii−i3i−3i−3i3i000000000000000000000000000000000000
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χ115888888-4-4-4-4-4-4-4-4-4-4-4-40000222-4-4-4-4-4-422222222222220000000000-12222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-8-8-4-4-4-4-4-4-4-4-4-4-4-40000222444444222-2-2-2-22222220000000000-1-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000
χ11788-8-800-48-4-44-84-8-448400002-4-4000000-2440000-442-24-40000000000200002-2-20000000000000000000000000000000000000000000000000000000000000000
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χ1268-8-8800-4-4-44-44-4-444440000222000000-2-22-666-6-22-22-2-20000000000-1000011-13-3-33000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).