Finite Group Databasebeta

← Group #13170768

Character table — Group #13170768

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order1222333666666666444433346666666661212121212121212444412121212121212123666121212121212121212244666666661212121212121212121212121212121222222212121212121212121212244666666121212124464
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-11111111111-1-11111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-11-111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111111111-1111111111-1-111-1-1-1-111111111-1-111-1-1-11-1-111-1-111-1-11-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-11-1111-1-1-1-1-1-111-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-11-111-1-1-1-11111-1-1-111-1-111-1-1-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-1-111111111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-11-1-111-1-1-1-11111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-111-11-111-1-1-1-111-1-111-11
χ121111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-1-1-1111111-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-111-1-1-111-1-111-1-1111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-111-1-1-1-1111-1111-1-1-1-1-1-111111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11
χ17222222-122-1-122-1220000-1-122-1-122-1-1-1-1222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-102200000000222222-1-122-1-10000000022-1-1-1-1-1-1-1-1-1-12000000-1-1000000-10
χ18222222-122-1-122-1220000-1-122-1-122-1-1-1-122222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-102-20000000022-2-222-1-1-2-21100000000-2-2-11-1-111-1-111-20000001100000010
χ19222222-122-1-122-1220000-1-122-1-122-1-1-1-1222222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2200000000-2-222-2-21122-1-100000000-2-21-111-1-111-1-1-20000001100000010
χ20222222-122-1-122-1220000-1-122-1-122-1-1-1-1222222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-200000000-2-2-2-2-2-211-2-211000000002211111111112000000-1-1000000-10
χ21222222-122-1-122-1220000-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-2222200000000-1-1-1-11111111110-2-200000000-2-2-2-222-1-122-1-10000000022111111-1-1-1-1-2000000-1-100000010
χ22222222-122-1-122-1220000-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-222-2-200000000-1-1-1-11111111110-2200000000-2-22222-1-1-2-21100000000-2-21-111-1-1-1-111200000011000000-10
χ23222222-122-1-122-1220000-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-111111111102-20000000022-2-2-2-21122-1-100000000-2-2-11-1-11111-1-1200000011000000-10
χ24222222-122-1-122-1220000-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1111111111022000000002222-2-211-2-2110000000022-1-1-1-1-1-11111-2000000-1-100000010
χ2522222-122-1222-122-122222-1-122-1-1-12-12-1-122-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120222-1-1-1-1-1-100-1-10000-1-122-1-1-1-10022000200-1-100-1-100200-1-10000-1-10000
χ2622222-122-1222-122-122222-1-122-1-1-12-12-1-122-1-1-1-1-1-100-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120-222-1-1-1-1-1-10011000011-2-2-1-1-1-100-2-2000-20011001100-200110000110000
χ2722222-122-1222-122-122222-1-1-22-1-1-12-12-1-1-2-211111100222222-1-1-1-1-1-1-1-1-2-2-2111111-20-2-2-211111100110000-1-122-1-1-1-10022000-2001100-1-100-200-1-10000110000
χ2822222-122-1222-122-122222-1-1-22-1-1-12-12-1-1-2-211111100-2-22222-1-1-1-1-1-1-1-1-2-2-2111111-202-2-211111100-1-1000011-2-2-1-1-1-100-2-2000200-1-1001100200110000-1-10000
χ2922222-122-1222-122-1-2-2-2-22-1-122-1-1-12-12-1-122-1-1-1-1-1-10022-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-202-2-211111100-1-10000-1-122111100-2-2000200-1-100-1-100-200110000110000
χ3022222-122-1222-122-1-2-2-2-22-1-122-1-1-12-12-1-122-1-1-1-1-1-100-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-20-2-2-21111110011000011-2-211110022000-20011001100200-1-10000-1-10000
χ3122222-122-1222-122-1-2-2-2-22-1-1-22-1-1-12-12-1-1-2-21111110022-2-2-2-21111-1-1-1-1-2-2-211111120-222-1-1-1-1-1-100110000-1-122111100-2-2000-2001100-1-100200110000-1-10000
χ3222222-122-1222-122-1-2-2-2-22-1-1-22-1-1-12-12-1-1-2-211111100-2-2-2-2-2-21111-1-1-1-1-2-2-211111120222-1-1-1-1-1-100-1-1000011-2-211110022000200-1-1001100-200-1-10000110000
χ332222-122-1222-122-122222-12-12-12-1-1-12-12-1-1-122-1-1-1-12200-1-1-1-12222-1-1-1-12-1-122-1-1-1-1220-1-122-1-1-1-1-1-100-1-1220000-1-1-1-122000020-1-100-1-100020-1-10000-1-1000000
χ342222-122-1222-122-122222-12-12-12-1-1-12-12-1-1-122-1-1-1-1-2-200-1-1-1-12222-1-1-1-12-1-122-1-1-1-12-20-1-122-1-1-1-1110011-2-20000-1-1-1-1-2-20000-20110011000-2011000011000000
χ352222-122-1222-122-122222-12-1-2-12-1-1-12-12-111-2-211112200-1-1-1-12222-1-1-1-1-211-2-21111-2-2011-2-211111100-1-1220000-1-1-1-1220000-201100-1-1000-20-1-1000011000000
χ362222-122-1222-122-122222-12-1-2-12-1-1-12-12-111-2-21111-2-200-1-1-1-12222-1-1-1-1-211-2-21111-22011-2-21111-1-10011-2-20000-1-1-1-1-2-2000020-1-1001100020110000-1-1000000
χ372222-122-1222-122-12-2-2-2-2-12-12-12-1-1-12-12-1-1-122-1-1-1-122001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-22011-2-21111-1-100-1-12200001111-2-2000020-1-100-1-1000-2011000011000000
χ382222-122-1222-122-12-2-2-2-2-12-12-12-1-1-12-12-1-1-122-1-1-1-1-2-2001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-2011-2-21111110011-2-200001111220000-2011001100020-1-10000-1-1000000
χ392222-122-1222-122-12-2-2-2-2-12-1-2-12-1-1-12-12-111-2-2111122001111-2-2-2-2-1-1-1-1-211-2-211112-20-1-122-1-1-1-11100-1-12200001111-2-20000-201100-1-100020110000-1-1000000
χ402222-122-1222-122-12-2-2-2-2-12-1-2-12-1-1-12-12-111-2-21111-2-2001111-2-2-2-2-1-1-1-1-211-2-21111220-1-122-1-1-1-1-1-10011-2-20000111122000020-1-10011000-20-1-1000011000000
χ4122-2-22222-22-2-2-2-2-222i2i−2i−2i2220-222-22-2-2-2-2000000002i−2i002i2i−2i−2i2i2i−2i−2i22-2-20000000000000000000000002i−2i2i−2i00002i2i−2i−2i2-200000000002i−2i000002-2000000000000
χ4222-2-22222-22-2-2-2-2-222i2i−2i−2i2220-222-22-2-2-2-200000000−2i2i002i2i−2i−2i2i2i−2i−2i22-2-2000000000000000000000000−2i2i−2i2i00002i2i−2i−2i-220000000000−2i2i00000-22000000000000
χ4322-2-22222-22-2-2-2-2-22−2i−2i2i2i2220-222-22-2-2-2-2000000002i−2i00−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000002i−2i2i−2i0000−2i−2i2i2i-2200000000002i−2i00000-22000000000000
χ4422-2-22222-22-2-2-2-2-22−2i−2i2i2i2220-222-22-2-2-2-200000000−2i2i00−2i−2i2i2i−2i−2i2i2i22-2-2000000000000000000000000−2i2i−2i2i0000−2i−2i2i2i2-20000000000−2i2i000002-2000000000000
χ4522-2-2-122-1-22-21-2-2122i2i−2i−2i-12-1012-11-1-21-213−30033−3−32i−2i00−i−iii2i2i−2i−2i-1-11103−30033−3−3000−i3i300−i3−i3i3i3−i3i300−ii2i−2i0000−i−iii2-2000000−i3i300−ii00000-1100003−3000000
χ4622-2-2-122-1-22-21-2-2122i2i−2i−2i-12-1012-11-1-21-213−30033−3−3−2i2i00−i−iii2i2i−2i−2i-1-11103−30033−3−3000−i3i300−i3−i3i3i3i3−i300i−i−2i2i0000−i−iii-22000000i3−i300i−i000001-10000−33000000
χ4722-2-2-122-1-22-21-2-2122i2i−2i−2i-12-1012-11-1-21-21−3300−3−3332i−2i00−i−iii2i2i−2i−2i-1-1110−3300−3−333000i3−i300i3i3−i3−i3i3−i300−ii2i−2i0000−i−iii2-2000000i3−i300−ii00000-110000−33000000
χ4822-2-2-122-1-22-21-2-2122i2i−2i−2i-12-1012-11-1-21-21−3300−3−333−2i2i00−i−iii2i2i−2i−2i-1-1110−3300−3−333000i3−i300i3i3−i3−i3−i3i300i−i−2i2i0000−i−iii-22000000−i3i300i−i000001-100003−3000000
χ4922-2-2-122-1-22-21-2-212−2i−2i2i2i-12-1012-11-1-21-213−30033−3−32i−2i00ii−i−i−2i−2i2i2i-1-11103−30033−3−3000i3−i300i3i3−i3−i3−i3i300−ii2i−2i0000ii−i−i-22000000−i3i300−ii000001-10000−33000000
χ5022-2-2-122-1-22-21-2-212−2i−2i2i2i-12-1012-11-1-21-213−30033−3−3−2i2i00ii−i−i−2i−2i2i2i-1-11103−30033−3−3000i3−i300i3i3−i3−i3i3−i300i−i−2i2i0000ii−i−i2-2000000i3−i300i−i00000-1100003−3000000
χ5122-2-2-122-1-22-21-2-212−2i−2i2i2i-12-1012-11-1-21-21−3300−3−3332i−2i00ii−i−i−2i−2i2i2i-1-1110−3300−3−333000−i3i300−i3−i3i3i3i3−i300−ii2i−2i0000ii−i−i-22000000i3−i300−ii000001-100003−3000000
χ5222-2-2-122-1-22-21-2-212−2i−2i2i2i-12-1012-11-1-21-21−3300−3−333−2i2i00ii−i−i−2i−2i2i2i-1-1110−3300−3−333000−i3i300−i3−i3i3i3−i3i300i−i−2i2i0000ii−i−i2-2000000−i3i300i−i00000-110000−33000000
χ532-22-2222-22-22-2-2-22-22i−2i2i−2i22202-2-22-22-2-2-200000000002i−2i2i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000002i−2i2i−2i2i−2i2i−2i002-200000000002i−2i000002-20000000000
χ542-22-2222-22-22-2-2-22-22i−2i2i−2i22202-2-22-22-2-2-20000000000−2i2i2i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00-220000000000−2i2i00000-220000000000
χ552-22-2222-22-22-2-2-22-2−2i2i−2i2i22202-2-22-22-2-2-200000000002i−2i−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000002i−2i2i−2i−2i2i−2i2i00-2200000000002i−2i00000-220000000000
χ562-22-2222-22-22-2-2-22-2−2i2i−2i2i22202-2-22-22-2-2-20000000000−2i2i−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000000000−2i2i−2i2i−2i2i−2i2i002-20000000000−2i2i000002-20000000000
χ572-22-22-12-2-1-22-21-2212i−2i2i−2i2-1-10211-1-2-1-211003−33−33−3002i−2i2i−2i2i−2i−ii−ii-11-110003−33−33−300000−i3i3−i3i3−i3i300−i3i30000−ii2i−2i−ii−ii002-2000000−i3i300−ii00000-1100003−30000
χ582-22-22-12-2-1-22-21-2212i−2i2i−2i2-1-10211-1-2-1-211003−33−33−300−2i2i2i−2i2i−2i−ii−ii-11-110003−33−33−300000−i3i3−i3i3−i3i300i3−i30000i−i−2i2i−ii−ii00-22000000i3−i300i−i000001-10000−330000
χ592-22-22-12-2-1-22-21-2212i−2i2i−2i2-1-10211-1-2-1-21100−33−33−33002i−2i2i−2i2i−2i−ii−ii-11-11000−33−33−3300000i3−i3i3−i3i3−i300i3−i30000−ii2i−2i−ii−ii002-2000000i3−i300−ii00000-110000−330000
χ602-22-22-12-2-1-22-21-2212i−2i2i−2i2-1-10211-1-2-1-21100−33−33−3300−2i2i2i−2i2i−2i−ii−ii-11-11000−33−33−3300000i3−i3i3−i3i3−i300−i3i30000i−i−2i2i−ii−ii00-22000000−i3i300i−i000001-100003−30000
χ612-22-22-12-2-1-22-21-221−2i2i−2i2i2-1-10211-1-2-1-211003−33−33−3002i−2i−2i2i−2i2ii−ii−i-11-110003−33−33−300000i3−i3i3−i3i3−i300−i3i30000−ii2i−2ii−ii−i00-22000000−i3i300−ii000001-10000−330000
χ622-22-22-12-2-1-22-21-221−2i2i−2i2i2-1-10211-1-2-1-211003−33−33−300−2i2i−2i2i−2i2ii−ii−i-11-110003−33−33−300000i3−i3i3−i3i3−i300i3−i30000i−i−2i2ii−ii−i002-2000000i3−i300i−i00000-1100003−30000
χ632-22-22-12-2-1-22-21-221−2i2i−2i2i2-1-10211-1-2-1-21100−33−33−33002i−2i−2i2i−2i2ii−ii−i-11-11000−33−33−3300000−i3i3−i3i3−i3i300i3−i30000−ii2i−2ii−ii−i00-22000000i3−i300−ii000001-100003−30000
χ642-22-22-12-2-1-22-21-221−2i2i−2i2i2-1-10211-1-2-1-21100−33−33−3300−2i2i−2i2i−2i2ii−ii−i-11-11000−33−33−3300000−i3i3−i3i3−i3i300−i3i30000i−i−2i2ii−ii−i002-2000000−i3i300i−i00000-110000−330000
χ652-2-22222-2-2-2-2222-2-22-2-222220-2-2-2-2-2-22220000000000002-2-222-2-222-2-22000000000000000000000000000000002-2-2200002-2000000000000000002-200002-200
χ662-2-22222-2-2-2-2222-2-22-2-222220-2-2-2-2-2-22220000000000002-2-222-2-222-2-22000000000000000000000000000000002-2-220000-2200000000000000000-220000-2200
χ672-2-22222-2-2-2-2222-2-2-222-22220-2-2-2-2-2-2222000000000000-222-2-222-22-2-2200000000000000000000000000000000-222-200002-2000000000000000002-20000-2200
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χ984-44-44-2-2-4-22-2-422420000-21-20-2-12-2212-1200−2323−2323−232300−4i4i000000001-11-10003−33−33−30000000000000−2i32i300002i−2i2i−2i00000000000000i3−i300−ii00000000000000000
χ994-44-4-24424-442-4-4-2-44i−4i4i−4i-24-20-2-42-2242-42000000000000−2i2i−2i2i4i−4i4i−4i-22-2200000000000000000000000000000000−2i2i−2i2i000000000000000000000000000000000
χ1004-44-4-24424-442-4-4-2-4−4i4i−4i4i-24-20-2-42-2242-420000000000002i−2i2i−2i−4i4i−4i4i-22-22000000000000000000000000000000002i−2i2i−2i000000000000000000000000000000000
χ1014-44-4-2-242-2-4422-4-224i−4i4i−4i-2-210-22-112-222-10023−23−33−330000−2i2i−2i2i−2i2i−2i2i1-11-100023−23−33−3300000−2i32i3i3−i3i3−i3000000000000i−ii−i000000000000000000000000000000000
χ1024-44-4-2-242-2-4422-4-224i−4i4i−4i-2-210-22-112-222-100−23233−33−30000−2i2i−2i2i−2i2i−2i2i1-11-1000−23233−33−3000002i3−2i3−i3i3−i3i3000000000000i−ii−i000000000000000000000000000000000
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χ1084-4-444-24-42-4-44-24-42-444-44-2-20-4222-424-2-2000000000000-444-42-2-22-222-2000000000000000000000000000000002-2-22000000000000000000000000000000000
χ1094-4-44-2442-4-4-4-2442-44-4-44-24-202-4222-4-24-2000000000000-222-24-4-44-222-200000000000000000000000000000000-222-2000000000000000000000000000000000
χ1104-4-44-2442-4-4-4-2442-4-444-4-24-202-4222-4-24-20000000000002-2-22-444-4-222-2000000000000000000000000000000002-2-22000000000000000000000000000000000
χ1114-4-44-2-2422-4-4-2-24224-4-44-2-21022-1-122-2-2100003-3-330000-222-2-222-21-1-11000003-3-3300000003-3-330000000000001-1-11000000000000000000000000000000000
χ1124-4-44-2-2422-4-4-2-24224-4-44-2-21022-1-122-2-210000-333-30000-222-2-222-21-1-1100000-333-30000000-333-30000000000001-1-11000000000000000000000000000000000
χ1134-4-44-2-2422-4-4-2-2422-444-4-2-21022-1-122-2-2100003-3-3300002-2-222-2-221-1-11000003-3-330000000-333-3000000000000-111-1000000000000000000000000000000000
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χ1158888-4-4-4-4-4-4-4-4-4-4-4-400002228222222222-4-4-4-42222000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
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χ1208-88-8-48-4484-44-84-4-800002-4-40244-4-2-4-244000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-4-4-44444-4-4-44400002220-2-2-2-2-2-22220000-666-6000000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000000

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