Finite Group Databasebeta

← Group #13171927

Character table — Group #13171927

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order122222333666666666444433366666666666666666664412121212121212123666666666662244666612121212121212121212121212121212444466666612121212121244441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-1111111111111-1-1-1-11-111-1-11-111-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111111111111111-1-1-1-1-11-1-111-11-1-111-11-11-1-111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-11-11-1-111-1-111-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1111-11-111-1-111-1-1-1-1-1-11111
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
χ91111-1-11111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ101111-1-11111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111111111-1-1-1-1111-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-111-1-1-11-1-1111-1-11-1-11111-1-1-1-111-1-111
χ111111-1-11111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111111111-1-1-1-1111-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-1111-111-1-1-111-111-1-1-1-111-1-111-1-111
χ121111-1-11111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-111-1-1
χ131111-1-1111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ141111-1-1111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1111-111-1-1-11-1-111-111-111-1-1-1-111-1-11111-1-1
χ151111-1-1111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-1-11111-1-11111-1-1-1-11111-1-111-11-1-1111-111-1-11-1-11-1-11111-1-1-1-11111-1-1
χ161111-1-1111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111
χ1722222222-1-122-12222-100002-1-12222-1-1222222-1-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-12222222222220000000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ1822222222-1-122-12222-100002-1-12222-1-1222222-1-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-12-22-222-2-222-2-2000000000000-2-2-2-2-11-1-111-11-1-11100000000000011110000
χ1922222222-1-122-12222-100002-1-12222-1-1222222-1-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-1-22-22-2-222-2-222000000000000-2-2-2-21-111-1-11-111-1-100000000000011110000
χ2022222222-1-122-12222-100002-1-12222-1-1222222-1-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-20000000000002222111111111111000000000000-1-1-1-10000
χ212222222-1222-122-12-122222-12-122-1-122-1-1-1-1-1-122-1-12-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1020200-1-100-1-122-1-1-1-1-1-1-1-1-1-100000200-1-10200-1-1020200-1-100-1-100000000
χ222222222-1222-122-12-122222-12-122-1-122-1-1-1-1-1-122-1-12-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-10-20-20011001122-1-1-1-1-1-1-1-1-1-100000-200110-200110-20-20011001100000000
χ232222222-1222-122-12-12-2-2-2-2-12-122-1-122-1-1-1-1-1-122-1-12-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-1020200-1-100-1-1-2-2111111111100000200-1-10200-1-10-20-20011001100000000
χ242222222-1222-122-12-12-2-2-2-2-12-122-1-122-1-1-1-1-1-122-1-12-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-10-20-200110011-2-2111111111100000-200110-20011020200-1-100-1-100000000
χ25222222-1222-122-12-1222222-1-12-1-12222-1-1-1-1-1-1-1-122-12-122-1-1-1-12222-1-1-122-1-1-1-1-1-1-12020-1-100-1-100-1-122-1-1-1-1-1-1-1-1000020-1-10020-1-1002020-1-100-1-10000000000
χ26222222-1222-122-12-1222222-1-12-1-12222-1-1-1-1-1-1-1-122-12-122-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-20-2011001100-1-122-1-1-1-1-1-1-1-10000-201100-201100-20-201100110000000000
χ27222222-1222-122-12-122-2-2-2-2-1-12-1-12222-1-1-1-1-1-1-1-122-12-1-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-12020-1-100-1-10011-2-211111111000020-1-10020-1-100-20-201100110000000000
χ28222222-1222-122-12-122-2-2-2-2-1-12-1-12222-1-1-1-1-1-1-1-122-12-1-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-1-20-201100110011-2-2111111110000-201100-2011002020-1-100-1-10000000000
χ292222-2-222-1-122-12222-100002-1-1-2-2-2-21122-2-2-2-2-1-1-1-1-1-120000000000-11111-1-1-1111122-2-22222-2-2-2-200000000000022-2-2-1-1-1-1-1-1111111000000000000-1-1110000
χ302222-2-222-1-122-12222-100002-1-1-2-2-2-21122-2-2-2-2-1-1-1-1-1-120000000000-11111-1-1-111112-2-2222-2-2-2-222000000000000-2-222-11-1-1111-111-1-100000000000011-1-10000
χ312222-2-222-1-122-12222-100002-1-1-2-2-2-21122-2-2-2-2-1-1-1-1-1-120000000000-11111-1-1-11111-222-2-2-22222-2-2000000000000-2-2221-111-1-1-11-1-11100000000000011-1-10000
χ322222-2-222-1-122-12222-100002-1-1-2-2-2-21122-2-2-2-2-1-1-1-1-1-120000000000-11111-1-1-11111-2-222-2-2-2-2222200000000000022-2-2111111-1-1-1-1-1-1000000000000-1-1110000
χ332222-2-22-1222-122-12-122222-12-1-2-211-2-2-1-1111122-1-12-1-1-2-22222-1-1-1-1-1-2-211-1-1-11111020-200-1-10011-2-211-1-1-1-1111100000200-1-10-20011020-2001100-1-100000000
χ342222-2-22-1222-122-12-122222-12-1-2-211-2-2-1-1111122-1-12-1-1-2-22222-1-1-1-1-1-2-211-1-1-111110-202001100-1-1-2-211-1-1-1-1111100000-200110200-1-10-20200-1-1001100000000
χ352222-2-22-1222-122-12-12-2-2-2-2-12-1-2-211-2-2-1-1111122-1-12-1-122-2-2-2-21111-1-2-211-1-1-11111020-200-1-1001122-1-11111-1-1-1-100000200-1-10-200110-20200-1-1001100000000
χ362222-2-22-1222-122-12-12-2-2-2-2-12-1-2-211-2-2-1-1111122-1-12-1-122-2-2-2-21111-1-2-211-1-1-111110-202001100-1-122-1-11111-1-1-1-100000-200110200-1-1020-2001100-1-100000000
χ372222-2-2-1222-122-12-1222222-1-1211-2-2-2-2-1-11111-1-122-12-1-2-2-1-1-1-12222-111-2-2-1-1-1111120-20-1-100110011-2-2-1-1-1-11111000020-1-100-20110020-201100-1-10000000000
χ382222-2-2-1222-122-12-1222222-1-1211-2-2-2-2-1-11111-1-122-12-1-2-2-1-1-1-12222-111-2-2-1-1-11111-20201100-1-10011-2-2-1-1-1-111110000-20110020-1-100-2020-1-100110000000000
χ392222-2-2-1222-122-12-122-2-2-2-2-1-1211-2-2-2-2-1-11111-1-122-12-1221111-2-2-2-2-111-2-2-1-1-1111120-20-1-1001100-1-1221111-1-1-1-1000020-1-100-201100-2020-1-100110000000000
χ402222-2-2-1222-122-12-122-2-2-2-2-1-1211-2-2-2-2-1-11111-1-122-12-1221111-2-2-2-2-111-2-2-1-1-11111-20201100-1-100-1-1221111-1-1-1-10000-20110020-1-10020-201100-1-10000000000
χ4122-2-2002222-2-2-2-2-222-222-2-2222000000-2-200002-22-2-2-220022-2-222-2-2200002-2-20000000000000000000022-2-20000002i−2i000000000000000000000000002i−2i002i−2i
χ4222-2-2002222-2-2-2-2-222-222-2-2222000000-2-200002-22-2-2-220022-2-222-2-2200002-2-20000000000000000000022-2-2000000−2i2i00000000000000000000000000−2i2i00−2i2i
χ4322-2-2002222-2-2-2-2-222-2-2-222222000000-2-200002-22-2-2-2200-2-222-2-222200002-2-200000000000000000000-2-2220000002i−2i000000000000000000000000002i−2i00−2i2i
χ4422-2-2002222-2-2-2-2-222-2-2-222222000000-2-200002-22-2-2-2200-2-222-2-222200002-2-200000000000000000000-2-222000000−2i2i00000000000000000000000000−2i2i002i−2i
χ452-22-200222-2-2-2-222-2-222i−2i2i−2i2220000002-20000-22-22-2-2-2002i−2i2i−2i2i−2i2i−2i20000-22-2000000000000000000002i−2i2i−2i00002-2000000000000000000000000002-2002i−2i00
χ462-22-200222-2-2-2-222-2-222i−2i2i−2i2220000002-20000-22-22-2-2-2002i−2i2i−2i2i−2i2i−2i20000-22-2000000000000000000002i−2i2i−2i0000-2200000000000000000000000000-2200−2i2i00
χ472-22-200222-2-2-2-222-2-22−2i2i−2i2i2220000002-20000-22-22-2-2-200−2i2i−2i2i−2i2i−2i2i20000-22-200000000000000000000−2i2i−2i2i00002-2000000000000000000000000002-200−2i2i00
χ482-22-200222-2-2-2-222-2-22−2i2i−2i2i2220000002-20000-22-22-2-2-200−2i2i−2i2i−2i2i−2i2i20000-22-200000000000000000000−2i2i−2i2i0000-2200000000000000000000000000-22002i−2i00
χ492-2-222-2222-2222-2-2-2-2-22i−2i−2i2i2222-22-22-2-2222-2-2-2-2-2-222-22i−2i2i−2i−2i2i2i−2i−2i2i22-22-2-2-2222-2-20000000000002i−2i2i−2i2i−2i−2i2i2i2i−2i−2i000000000000000000000000000000000000
χ502-2-222-2222-2222-2-2-2-2-2−2i2i2i−2i2222-22-22-2-2222-2-2-2-2-2-222-2−2i2i−2i2i2i−2i−2i2i2i−2i22-22-2-2-2222-2-2000000000000−2i2i−2i2i−2i2i2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ512-2-222-22-12-22-12-21-21-22i−2i−2i2i-12-12-2-112-21-1-1-111-2-2112-112i−2i2i−2i−2i2i−iii−i-12-2-1111-1-1-111000000−i3i300−i3i32i−2i−ii−iii−i−i−iii00000000−i3i30000−i3i30000003−3003−300000000
χ522-2-222-22-12-22-12-21-21-22i−2i−2i2i-12-12-2-112-21-1-1-111-2-2112-112i−2i2i−2i−2i2i−iii−i-12-2-1111-1-1-111000000i3−i300i3−i32i−2i−ii−iii−i−i−iii00000000i3−i30000i3−i3000000−3300−3300000000
χ532-2-222-22-12-22-12-21-21-2−2i2i2i−2i-12-12-2-112-21-1-1-111-2-2112-11−2i2i−2i2i2i−2ii−i−ii-12-2-1111-1-1-111000000−i3i300−i3i3−2i2ii−ii−i−iiii−i−i00000000−i3i30000−i3i3000000−3300−3300000000
χ542-2-222-22-12-22-12-21-21-2−2i2i2i−2i-12-12-2-112-21-1-1-111-2-2112-11−2i2i−2i2i2i−2ii−i−ii-12-2-1111-1-1-111000000i3−i300i3−i3−2i2ii−ii−i−iiii−i−i00000000i3−i30000i3−i30000003−3003−300000000
χ552-2-222-2-122-2-1221-21-2-22i−2i−2i2i-1-12-112-22-21-1-1-11111-2-2-1212i−2i−iii−i2i−2i−2i2i-1-112-211-1-1-1110000−i3i300−i3i300−ii2i−2i−iii−i−i−iii000000−i3i30000−i3i30000003−3003−30000000000
χ562-2-222-2-122-2-1221-21-2-22i−2i−2i2i-1-12-112-22-21-1-1-11111-2-2-1212i−2i−iii−i2i−2i−2i2i-1-112-211-1-1-1110000i3−i300i3−i300−ii2i−2i−iii−i−i−iii000000i3−i30000i3−i3000000−3300−330000000000
χ572-2-222-2-122-2-1221-21-2-2−2i2i2i−2i-1-12-112-22-21-1-1-11111-2-2-121−2i2ii−i−ii−2i2i2i−2i-1-112-211-1-1-1110000−i3i300−i3i300i−i−2i2ii−i−iiii−i−i000000−i3i30000−i3i3000000−3300−330000000000
χ582-2-222-2-122-2-1221-21-2-2−2i2i2i−2i-1-12-112-22-21-1-1-11111-2-2-121−2i2ii−i−ii−2i2i2i−2i-1-112-211-1-1-1110000i3−i300i3−i300i−i−2i2ii−i−iiii−i−i000000i3−i30000i3−i30000003−3003−30000000000
χ592-2-22-22222-2222-2-2-2-2-22i−2i−2i2i222-22-22-22-22-2-222-2-2-2-222-2−2i2i2i−2i−2i2i2i−2i−2i2i2-22-22-2-22-2-222000000000000−2i2i−2i2i2i−2i−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ602-2-22-22222-2222-2-2-2-2-2−2i2i2i−2i222-22-22-22-22-2-222-2-2-2-222-22i−2i−2i2i2i−2i−2i2i2i−2i2-22-22-2-22-2-2220000000000002i−2i2i−2i−2i2i2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ612-2-22-222-12-22-12-21-21-22i−2i−2i2i-12-1-221-1-221-111-1-1-2-2112-11−2i2i2i−2i−2i2i−iii−i-1-221-111-111-1-1000000−i3i300i3−i3−2i2ii−i−iii−iii−i−i00000000−i3i30000i3−i3000000−33003−300000000
χ622-2-22-222-12-22-12-21-21-22i−2i−2i2i-12-1-221-1-221-111-1-1-2-2112-11−2i2i2i−2i−2i2i−iii−i-1-221-111-111-1-1000000i3−i300−i3i3−2i2ii−i−iii−iii−i−i00000000i3−i30000−i3i30000003−300−3300000000
χ632-2-22-222-12-22-12-21-21-2−2i2i2i−2i-12-1-221-1-221-111-1-1-2-2112-112i−2i−2i2i2i−2ii−i−ii-1-221-111-111-1-1000000−i3i300i3−i32i−2i−iii−i−ii−i−iii00000000−i3i30000i3−i30000003−300−3300000000
χ642-2-22-222-12-22-12-21-21-2−2i2i2i−2i-12-1-221-1-221-111-1-1-2-2112-112i−2i−2i2i2i−2ii−i−ii-1-221-111-111-1-1000000i3−i300−i3i32i−2i−iii−i−ii−i−iii00000000i3−i30000−i3i3000000−33003−300000000
χ652-2-22-22-122-2-1221-21-2-22i−2i−2i2i-1-121-1-22-221-111-1-111-2-2-121−2i2i−iii−i2i−2i−2i2i-11-1-2211-111-1-10000−i3i300i3−i300i−i−2i2i−iii−iii−i−i000000−i3i30000i3−i3000000−33003−30000000000
χ662-2-22-22-122-2-1221-21-2-22i−2i−2i2i-1-121-1-22-221-111-1-111-2-2-121−2i2i−iii−i2i−2i−2i2i-11-1-2211-111-1-10000i3−i300−i3i300i−i−2i2i−iii−iii−i−i000000i3−i30000−i3i30000003−300−330000000000
χ672-2-22-22-122-2-1221-21-2-2−2i2i2i−2i-1-121-1-22-221-111-1-111-2-2-1212i−2ii−i−ii−2i2i2i−2i-11-1-2211-111-1-10000−i3i300i3−i300−ii2i−2ii−i−ii−i−iii000000−i3i30000i3−i30000003−300−330000000000
χ682-2-22-22-122-2-1221-21-2-2−2i2i2i−2i-1-121-1-22-221-111-1-111-2-2-1212i−2ii−i−ii−2i2i2i−2i-11-1-2211-111-1-10000i3−i300−i3i300−ii2i−2ii−i−ii−i−iii000000i3−i30000−i3i3000000−33003−30000000000
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χ914-44-40044-22-4-4244-4-4-200004-2-20000004-400002-22-222-40000000000-200002-2200000000000000000000000000004-400000000000000000000000000-22000000
χ924-44-40044-22-4-4244-4-4-200004-2-20000004-400002-22-222-40000000000-200002-220000000000000000000000000000-44000000000000000000000000002-2000000
χ934-44-4004-24-4-42-44-2-4244i−4i4i−4i-24-2000000-220000-442-2-422004i−4i4i−4i−2i2i−2i2i-200002-2200000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
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χ1014-4-444-444-2244-2-4-4-4-4200004-2-24-44-4-22-4444-4-42222-2-2-40000000000-2-22-2222-2-2-222000000000000000000000000000000000000000000000000000000000000
χ1024-4-444-44-2-224-2-2-42-4220000-2-214-4-22-222-2-2-22222-1-1-21200000000001-221-1-1-1111-1-1000000−2i32i300−2i32i300000000000000000000i3−i30000i3−i300000000000000000000
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χ1134-4-44-44-2-24-4-2-242222-44i−4i−4i4i1-2-22-22-2-44-11-1-1112222-2-2-1−4i4i−2i2i2i−2i−2i2i2i−2i12-22-2-1-11-1-1110000000000002i−2i2i−2ii−i−ii−i−iii000000000000000000000000000000000000
χ1144-4-44-44-2-24-4-2-242222-4−4i4i4i−4i1-2-22-22-2-44-11-1-1112222-2-2-14i−4i2i−2i−2i2i2i−2i−2i2i12-22-2-1-11-1-111000000000000−2i2i−2i2i−iii−iii−i−i000000000000000000000000000000000000
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
χ1168888-8-8-4-4-4-4-4-4-4-4-4-4-4-4000022244444422-2-2-2-222222220000000000-1-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000
χ11788-8-8008-4-4-4-844-848-440000-4-42000000440000-442-24-2-40000000000200002-2-20000000000000000000000000000000000000000000000000000000000000000
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χ1218-88-8008-4-44-8448-4-84-40000-4-42000000-4400004-4-224-24000000000020000-22-20000000000000000000000000000000000000000000000000000000000000000
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χ1238-88-800-4-4-44444-4-444-400002220000002-26-6-66-22-22-2-2-20000000000-100001-11-333-3000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-88-4-4-44-4-4-44444400002224-44-44-4-22-2-222-2-2-2-222-20000000000-1-22-2211-111-1-1000000000000000000000000000000000000000000000000000000000000

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