Finite Group Databasebeta

← Group #13172893

Character table — Group #13172893

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order122222333666666666444433366666666666666666664412121212121212123666666666664444121212121212121212121212121212121212121244441212121212121212121212122244666612121212121212122222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-11-111-1-1111111-1-111111111-1-1-1-11-11-11111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-11-11-1-1111111-1-11111111111-1-1-1-1-11-11-1-1-1-11111-11-11-1-111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111-11-111-1-111-1-1-1-1-1-11111
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
χ91111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1
χ101111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1111-1-1-1-111-111-1-1-11111-1-1-1-111-1-111
χ111111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-111-1-1-11111-1-11-1-1111-1-1-1-111-1-111-1-111
χ121111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1
χ131111-1-1111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111
χ141111-1-1111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-1-1111-1-11111-1-111-1-1-1-11111-1-1111-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1
χ151111-1-1111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-11111-1-111-111-1-1-11111-1-1-111-1-1-11111-1-1-1-11111-1-1
χ161111-1-1111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111
χ1722222222-122-1222-1-1222222-1-12222-1-12-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1020200-1-122-1-100-1-1-1-1-1-1-1-1-1-1000002020000-1-1-1-1020200-1-100-1-100000000
χ1822222222-122-1222-1-1222222-1-12222-1-12-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-10-20-2001122-1-10011-1-1-1-1-1-1-1-100000-20-2000011110-20-20011001100000000
χ1922222222-122-1222-1-12-2-2-2-22-1-12222-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-1020200-1-1-2-21100-1-111111111000002020000-1-1-1-10-20-20011001100000000
χ2022222222-122-1222-1-12-2-2-2-22-1-12222-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-10-20-20011-2-21100111111111100000-20-200001111020200-1-100-1-100000000
χ212222222-122-122-1-12222222-12-122-1-122-12-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-122-1-1-1-1-1-1-12020-1-100-1-122-1-100-1-1-1-1-1-1-1-100002020-1-1-1-100002020-1-100-1-10000000000
χ222222222-122-122-1-12222222-12-122-1-122-12-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-20-201100-1-1221100-1-1-1-1-1-1-1-10000-20-2011110000-20-201100110000000000
χ232222222-122-122-1-1222-2-2-2-2-12-122-1-122-12-1-1-1-1-1-1-1-122-1-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-12020-1-10011-2-2-1-1001111111100002020-1-1-1-10000-20-201100110000000000
χ242222222-122-122-1-1222-2-2-2-2-12-122-1-122-12-1-1-1-1-1-1-1-122-1-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-1-20-20110011-2-21100111111110000-20-20111100002020-1-100-1-10000000000
χ25222222-122-122-12222-10000-1-12-1-12222-1-1222222-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-12222222200002222000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ26222222-122-122-12222-10000-1-12-1-12222-1-1222222-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-12-22-222-2-2000022-2-200000000-2-2-2-2-11-11-1-1-1-1111100000000000011110000
χ27222222-122-122-12222-10000-1-12-1-12222-1-1222222-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-1-22-22-2-2220000-2-22200000000-2-2-2-21-11-11111-1-1-1-100000000000011110000
χ28222222-122-122-12222-10000-1-12-1-12222-1-1222222-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-2000000002222111111111111000000000000-1-1-1-10000
χ292222-2-222-122-1222-1-1222222-1-1-2-2-2-2112-1-1-1111122-1-1-1-2-22222-1-1-1-1-1-2-211-1-1-11111020-200-1-1-2-2110011-1-1-1-111110000020-20000-1-1110-202001100-1-100000000
χ302222-2-222-122-1222-1-1222222-1-1-2-2-2-2112-1-1-1111122-1-1-1-2-22222-1-1-1-1-1-2-211-1-1-111110-2020011-2-21100-1-1-1-1-1-1111100000-202000011-1-1020-200-1-1001100000000
χ312222-2-222-122-1222-1-12-2-2-2-22-1-1-2-2-2-2112-1-1-1111122-1-1-122-2-2-2-21111-1-2-211-1-1-11111020-200-1-122-1-100111111-1-1-1-10000020-20000-1-111020-200-1-1001100000000
χ322222-2-222-122-1222-1-12-2-2-2-22-1-1-2-2-2-2112-1-1-1111122-1-1-122-2-2-2-21111-1-2-211-1-1-111110-202001122-1-100-1-11111-1-1-1-100000-202000011-1-10-202001100-1-100000000
χ332222-2-22-122-122-1-12222222-12-1-2-211-2-2-12-1-11111-1-122-1-2-2-1-1-1-12222-111-2-2-1-1-1111120-20-1-10011-2-21100-1-1-1-11111000020-20-1-1110000-20201100-1-10000000000
χ342222-2-22-122-122-1-12222222-12-1-2-211-2-2-12-1-11111-1-122-1-2-2-1-1-1-12222-111-2-2-1-1-11111-2020110011-2-2-1-100-1-1-1-111110000-202011-1-1000020-20-1-100110000000000
χ352222-2-22-122-122-1-1222-2-2-2-2-12-1-2-211-2-2-12-1-11111-1-122-1221111-2-2-2-2-111-2-2-1-1-1111120-20-1-100-1-12211001111-1-1-1-1000020-20-1-111000020-20-1-100110000000000
χ362222-2-22-122-122-1-1222-2-2-2-2-12-1-2-211-2-2-12-1-11111-1-122-1221111-2-2-2-2-111-2-2-1-1-11111-20201100-1-122-1-1001111-1-1-1-10000-202011-1-10000-20201100-1-10000000000
χ372222-2-2-122-122-12222-10000-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-120000000000-11111-1-1-1111122-2-222220000-2-2-2-20000000022-2-2-1-111-1-111-1-111000000000000-1-1110000
χ382222-2-2-122-122-12222-10000-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-120000000000-11111-1-1-111112-2-2222-2-20000-2-22200000000-2-222-111-1-1-11111-1-100000000000011-1-10000
χ392222-2-2-122-122-12222-10000-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-120000000000-11111-1-1-11111-222-2-2-222000022-2-200000000-2-2221-1-1111-1-1-1-11100000000000011-1-10000
χ402222-2-2-122-122-12222-10000-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-120000000000-11111-1-1-11111-2-222-2-2-2-2000022220000000022-2-211-1-111-1-111-1-1000000000000-1-1110000
χ4122-2-200222-2222-2-2-2-2-22i2i−2i−2i222000000-2-22-200002-22-2-2002i2i−2i−2i2i2i−2i−2i200002-2-2000000000000000000002i2i−2i−2i0000002i−2i000000000000000000000000002i−2i002-2
χ4222-2-200222-2222-2-2-2-2-22i2i−2i−2i222000000-2-22-200002-22-2-2002i2i−2i−2i2i2i−2i−2i200002-2-2000000000000000000002i2i−2i−2i000000−2i2i00000000000000000000000000−2i2i00-22
χ4322-2-200222-2222-2-2-2-2-2−2i−2i2i2i222000000-2-22-200002-22-2-200−2i−2i2i2i−2i−2i2i2i200002-2-200000000000000000000−2i−2i2i2i0000002i−2i000000000000000000000000002i−2i00-22
χ4422-2-200222-2222-2-2-2-2-2−2i−2i2i2i222000000-2-22-200002-22-2-200−2i−2i2i2i−2i−2i2i2i200002-2-200000000000000000000−2i−2i2i2i000000−2i2i00000000000000000000000000−2i2i002-2
χ452-22-22-22222-2-2-22-22-2-22i−2i2i−2i2222-22-22-222-2222-2-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i22-22-2-22-222-2-2000000002i−2i2i−2i00002i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ462-22-22-22222-2-2-22-22-2-2−2i2i−2i2i2222-22-22-222-2222-2-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i22-22-2-22-222-2-200000000−2i2i−2i2i0000−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ472-22-22-222-12-21-22-2-11-22i−2i2i−2i2-1-12-22-2-112-11-1-1-111-2-21112i−2i2i−2i2i−2i−ii−ii-12-2-111-11-1-1110000003−32i−2i−ii003−3−ii−ii−i−iii0000000000003−33−3000000−i3i300−i3i300000000
χ482-22-22-222-12-21-22-2-11-22i−2i2i−2i2-1-12-22-2-112-11-1-1-111-2-21112i−2i2i−2i2i−2i−ii−ii-12-2-111-11-1-111000000−332i−2i−ii00−33−ii−ii−i−iii000000000000−33−33000000i3−i300i3−i300000000
χ492-22-22-222-12-21-22-2-11-2−2i2i−2i2i2-1-12-22-2-112-11-1-1-111-2-2111−2i2i−2i2i−2i2ii−ii−i-12-2-111-11-1-1110000003−3−2i2ii−i003−3i−ii−iii−i−i0000000000003−33−3000000i3−i300i3−i300000000
χ502-22-22-222-12-21-22-2-11-2−2i2i−2i2i2-1-12-22-2-112-11-1-1-111-2-2111−2i2i−2i2i−2i2ii−ii−i-12-2-111-11-1-111000000−33−2i2ii−i00−33i−ii−iii−i−i000000000000−33−33000000−i3i300−i3i300000000
χ512-22-22-22-1221-2-2-112-2-22i−2i2i−2i-12-12-2-112-2-121-1-1-11111-2-212i−2i−ii−ii2i−2i2i−2i-1-112-21-11-1-11100003−300−ii2i−2i3−300−ii−ii−i−iii000000003−33−300000000−i3i300−i3i30000000000
χ522-22-22-22-1221-2-2-112-2-22i−2i2i−2i-12-12-2-112-2-121-1-1-11111-2-212i−2i−ii−ii2i−2i2i−2i-1-112-21-11-1-1110000−3300−ii2i−2i−3300−ii−ii−i−iii00000000−33−3300000000i3−i300i3−i30000000000
χ532-22-22-22-1221-2-2-112-2-2−2i2i−2i2i-12-12-2-112-2-121-1-1-11111-2-21−2i2ii−ii−i−2i2i−2i2i-1-112-21-11-1-11100003−300i−i−2i2i3−300i−ii−iii−i−i000000003−33−300000000i3−i300i3−i30000000000
χ542-22-22-22-1221-2-2-112-2-2−2i2i−2i2i-12-12-2-112-2-121-1-1-11111-2-21−2i2ii−ii−i−2i2i−2i2i-1-112-21-11-1-1110000−3300i−i−2i2i−3300i−ii−iii−i−i00000000−33−3300000000−i3i300−i3i30000000000
χ552-22-2-222222-2-2-22-22-2-22i−2i2i−2i222-22-22-2222-22-2-222-2-2-2-2-2−2i2i2i−2i2i−2i2i−2i2i−2i2-22-22-22-2-2-22200000000−2i2i−2i2i00002i−2i2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ562-22-2-222222-2-2-22-22-2-2−2i2i−2i2i222-22-22-2222-22-2-222-2-2-2-2-22i−2i−2i2i−2i2i−2i2i−2i2i2-22-22-22-2-2-222000000002i−2i2i−2i0000−2i2i−2i2i2i2i−2i−2i000000000000000000000000000000000000
χ572-22-2-2222-12-21-22-2-11-22i−2i2i−2i2-1-1-22-221-12-11-111-1-1-2-2111−2i2i2i−2i2i−2i−ii−ii-1-221-11-1111-1-10000003−3−2i2ii−i00−33−ii−iiii−i−i0000000000003−3−33000000i3−i300−i3i300000000
χ582-22-2-2222-12-21-22-2-11-22i−2i2i−2i2-1-1-22-221-12-11-111-1-1-2-2111−2i2i2i−2i2i−2i−ii−ii-1-221-11-1111-1-1000000−33−2i2ii−i003−3−ii−iiii−i−i000000000000−333−3000000−i3i300i3−i300000000
χ592-22-2-2222-12-21-22-2-11-2−2i2i−2i2i2-1-1-22-221-12-11-111-1-1-2-21112i−2i−2i2i−2i2ii−ii−i-1-221-11-1111-1-10000003−32i−2i−ii00−33i−ii−i−i−iii0000000000003−3−33000000−i3i300i3−i300000000
χ602-22-2-2222-12-21-22-2-11-2−2i2i−2i2i2-1-1-22-221-12-11-111-1-1-2-21112i−2i−2i2i−2i2ii−ii−i-1-221-11-1111-1-1000000−332i−2i−ii003−3i−ii−i−i−iii000000000000−333−3000000i3−i300−i3i300000000
χ612-22-2-222-1221-2-2-112-2-22i−2i2i−2i-12-1-221-1-22-121-111-1-111-2-21−2i2i−ii−ii2i−2i2i−2i-11-1-221-1111-1-100003−300i−i−2i2i−3300−ii−iiii−i−i000000003−3−3300000000i3−i300−i3i30000000000
χ622-22-2-222-1221-2-2-112-2-22i−2i2i−2i-12-1-221-1-22-121-111-1-111-2-21−2i2i−ii−ii2i−2i2i−2i-11-1-221-1111-1-10000−3300i−i−2i2i3−300−ii−iiii−i−i00000000−333−300000000−i3i300i3−i30000000000
χ632-22-2-222-1221-2-2-112-2-2−2i2i−2i2i-12-1-221-1-22-121-111-1-111-2-212i−2ii−ii−i−2i2i−2i2i-11-1-221-1111-1-100003−300−ii2i−2i−3300i−ii−i−i−iii000000003−3−3300000000−i3i300i3−i30000000000
χ642-22-2-222-1221-2-2-112-2-2−2i2i−2i2i-12-1-221-1-22-121-111-1-111-2-212i−2ii−ii−i−2i2i−2i2i-11-1-221-1111-1-10000−3300−ii2i−2i3−300i−ii−i−i−iii00000000−333−300000000i3−i300−i3i30000000000
χ652-2-2200222-2-2-2-2-22-2222-2-22222000000-2-2-2-20000-22-222002-2-222-2-2220000-2-22000000000000000000002-2-2200002-2000000000000000000000000002-2002-200
χ662-2-2200222-2-2-2-2-22-2222-2-22222000000-2-2-2-20000-22-222002-2-222-2-2220000-2-22000000000000000000002-2-220000-2200000000000000000000000000-2200-2200
χ672-2-2200222-2-2-2-2-22-222-222-2222000000-2-2-2-20000-22-22200-222-2-222-220000-2-2200000000000000000000-222-200002-2000000000000000000000000002-200-2200
χ682-2-2200222-2-2-2-2-22-222-222-2222000000-2-2-2-20000-22-22200-222-2-222-220000-2-2200000000000000000000-222-20000-2200000000000000000000000000-22002-200
χ694444444-2-24-2-24-2-2-2-244444-2-2144-2-2-2-2-2-2111111-2-2-2-2144-2-2-2-2-2-2-2-21-2-2-2-2111111100000000-2-2-2-2000011111111000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).