Finite Group Databasebeta

← Group #13170753

Character table — Group #13170753

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order1222333666666666444433346666666661212121212121212444412121212121212123666121212121212121212244661212121212121212121212121212121212121212121222222266612121212121212244666666121212124464
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-111111-1-111-1-1-1-111111111111111-1-1-1-1111-111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-111-1-11111-1-1111111-1-111111111-1-111-1-1-1-1-11-1-11111-11-111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1111-1-11111-1-1-111-1-111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-111-1-11-1111-1-1-1-1-1-111-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-1-1-111111111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-1-11-111-1-1-1-111-1-111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-11-1-111-1-1-1-11111-11
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
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1111-1-1111-1111-1-1-1-1-1-111111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1-111-1-1-111-1-111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-11
χ17222222-1-1222-12-12200002-1-12-1-12-122-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1220220022-1-122-1-1002200000000000022-1-1-1-1-1-1-1-1-1-12000000-1-1000000-10
χ18222222-1-1222-12-12200002-1-12-1-12-122-1-1-12222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-202200-2-2-1-1-2-2110022000000000000-2-2-1-1-11-1-11111-20000001100000010
χ19222222-1-1222-12-12200002-1-12-1-12-122-1-1-122222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-220-2-200221122-1-100-2-2000000000000-2-2111-111-1-1-1-1-20000001100000010
χ20222222-1-1222-12-12200002-1-12-1-12-122-1-1-122222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200-2-211-2-21100-2-20000000000002211111111112000000-1-1000000-10
χ21222222-1-1222-12-12200002-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-2222200000000-1-1-1-1111111111-2-20-2-200-2-2-1-122-1-10022000000000000221111-1-1-1-111-2000000-1-100000010
χ22222222-1-1222-12-12200002-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-222-2-200000000-1-1-1-1111111111-220-2-20022-1-1-2-2110022000000000000-2-2111-1-1-111-1-1200000011000000-10
χ23222222-1-1222-12-12200002-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-11111111112-202200-2-21122-1-100-2-2000000000000-2-2-1-1-1111-1-111200000011000000-10
χ24222222-1-1222-12-12200002-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-111111111122022002211-2-21100-2-200000000000022-1-1-1-11111-1-1-2000000-1-100000010
χ2522222-122-1-122222-12222-12-122-1-1-1-1-12-12-1-122-1-1-1-122002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1202-1-1-1-10022000022-1-1-1-1-1-1-1-1-1-12200002-1-10-1-1000000200-1-10000-1-10000
χ2622222-122-1-122222-12222-12-122-1-1-1-1-12-12-1-122-1-1-1-1-2-2002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20211-1-100-2-200002211-1-1-1-1-1-1-1-1-2-20000-211011000000-200110000110000
χ2722222-122-1-122222-12222-12-1-22-1-1-1-1-12-1211-2-2111122002222-1-1-1-1-1-1-1-1-211-2-21111-20-2111100220000-2-2-1-1-1-1-1-11111220000-2110-1-1000000-200-1-10000110000
χ2822222-122-1-122222-12222-12-1-22-1-1-1-1-12-1211-2-21111-2-2002222-1-1-1-1-1-1-1-1-211-2-2111120-2-1-11100-2-20000-2-211-1-1-1-11111-2-200002-1-1011000000200110000-1-10000
χ2922222-122-1-122222-1-2-2-2-2-12-122-1-1-1-1-12-12-1-122-1-1-1-12200-2-2-2-21111-1-1-1-12-1-122-1-1-1-120-2-1-11100220000-2-2-1-111111111-2-200002-1-10-1-1000000-200110000110000
χ3022222-122-1-122222-1-2-2-2-2-12-122-1-1-1-1-12-12-1-122-1-1-1-1-2-200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20-2111100-2-20000-2-21111111111220000-211011000000200-1-10000-1-10000
χ3122222-122-1-122222-1-2-2-2-2-12-1-22-1-1-1-1-12-1211-2-211112200-2-2-2-21111-1-1-1-1-211-2-21111-20211-1-10022000022-1-11111-1-1-1-1-2-20000-2110-1-1000000200110000-1-10000
χ3222222-122-1-122222-1-2-2-2-2-12-1-22-1-1-1-1-12-1211-2-21111-2-200-2-2-2-21111-1-1-1-1-211-2-21111202-1-1-1-100-2-2000022111111-1-1-1-12200002-1-1011000000-200-1-10000110000
χ332222-122222-12-12-122222-1-122-12-12-1-1-12-122-1-1-1-1-1-10022-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10220022-1-100-1-122-1-100-1-1-1-1-1-1-1-1002200000200-1-1-1-1020-1-10000-1-1000000
χ342222-122222-12-12-122222-1-122-12-12-1-1-12-122-1-1-1-1-1-100-2-2-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-220022110011-2-2-1-100-1-1-1-1-1-1-1-100-2-200000-20011110-2011000011000000
χ352222-122222-12-12-122222-1-12-2-12-12-1-1-12-1-2-21111110022-1-1-1-12222-1-1-1-1-2-2-21111110-2-200-2-21100-1-1221100-1-1-1-11111002200000-200-1-1110-20-1-1000011000000
χ362222-122222-12-12-122222-1-12-2-12-12-1-1-12-1-2-211111100-2-2-1-1-1-12222-1-1-1-1-2-2-211111102-200-2-2-1-10011-2-21100-1-1-1-1111100-2-20000020011-1-1020110000-1-1000000
χ372222-122222-12-12-12-2-2-2-2-1-122-12-12-1-1-12-122-1-1-1-1-1-100221111-2-2-2-2-1-1-1-1222-1-1-1-1-1-102-200-2-2-1-100-1-12211001111111100-2-200000200-1-1-1-10-2011000011000000
χ382222-122222-12-12-12-2-2-2-2-1-122-12-12-1-1-12-122-1-1-1-1-1-100-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-200-2-2110011-2-2110011111111002200000-2001111020-1-10000-1-1000000
χ392222-122222-12-12-12-2-2-2-2-1-12-2-12-12-1-1-12-1-2-211111100221111-2-2-2-2-1-1-1-1-2-2-21111110-2200221100-1-122-1-1001111-1-1-1-100-2-200000-200-1-111020110000-1-1000000
χ402222-122222-12-12-12-2-2-2-2-1-12-2-12-12-1-1-12-1-2-211111100-2-21111-2-2-2-2-1-1-1-1-2-2-21111110220022-1-10011-2-2-1-1001111-1-1-1-100220000020011-1-10-20-1-1000011000000
χ4122-2-2222-22-222-2-2-2-22i2i−2i−2i2220-2-222-2-2-2-220000000000002i2i−2i−2i2i2i−2i−2i2-2-2200000000000000000000000000002i2i−2i−2i000000002-2000000000000000002-200002i−2i00
χ4222-2-2222-22-222-2-2-2-22i2i−2i−2i2220-2-222-2-2-2-220000000000002i2i−2i−2i2i2i−2i−2i2-2-2200000000000000000000000000002i2i−2i−2i00000000-2200000000000000000-220000−2i2i00
χ4322-2-2222-22-222-2-2-2-2−2i−2i2i2i2220-2-222-2-2-2-22000000000000−2i−2i2i2i−2i−2i2i2i2-2-220000000000000000000000000000−2i−2i2i2i000000002-2000000000000000002-20000−2i2i00
χ4422-2-2222-22-222-2-2-2-2−2i−2i2i2i2220-2-222-2-2-2-22000000000000−2i−2i2i2i−2i−2i2i2i2-2-220000000000000000000000000000−2i−2i2i2i00000000-2200000000000000000-2200002i−2i00
χ452-22-22222-22-2-2-2-22-22i−2i2i−2i222022-2-22-2-2-2-2000000002i−2i002i−2i2i−2i2i−2i2i−2i22-2-20000000000000000002i−2i0000002i−2i2i−2i2i−2i00002-2000000002i−2i0000000002-20000000000
χ462-22-22222-22-2-2-2-22-22i−2i2i−2i222022-2-22-2-2-2-200000000−2i2i002i−2i2i−2i2i−2i2i−2i22-2-2000000000000000000−2i2i000000−2i2i2i−2i2i−2i0000-2200000000−2i2i000000000-220000000000
χ472-22-22222-22-2-2-2-22-2−2i2i−2i2i222022-2-22-2-2-2-2000000002i−2i00−2i2i−2i2i−2i2i−2i2i22-2-20000000000000000002i−2i0000002i−2i−2i2i−2i2i0000-22000000002i−2i000000000-220000000000
χ482-22-22222-22-2-2-2-22-2−2i2i−2i2i222022-2-22-2-2-2-200000000−2i2i00−2i2i−2i2i−2i2i−2i2i22-2-2000000000000000000−2i2i000000−2i2i−2i2i−2i2i00002-200000000−2i2i0000000002-20000000000
χ492-22-22-1221-1-2-2-2-2212i−2i2i−2i-12-102-111-11-21-23−30033−3−32i−2i002i−2i2i−2i−ii−ii-1-11103−30033−3−3000−i3i3−i3i3002i−2i000000−ii−ii−ii−i3−i3i3i32-200000−i3i30−ii000000000-1100003−30000
χ502-22-22-1221-1-2-2-2-2212i−2i2i−2i-12-102-111-11-21-23−30033−3−3−2i2i002i−2i2i−2i−ii−ii-1-11103−30033−3−3000i3−i3−i3i300−2i2i000000i−i−ii−ii−i3−i3i3i3-2200000i3−i30i−i0000000001-10000−330000
χ512-22-22-1221-1-2-2-2-2212i−2i2i−2i-12-102-111-11-21-2−3300−3−3332i−2i002i−2i2i−2i−ii−ii-1-1110−3300−3−333000i3−i3i3−i3002i−2i000000−ii−ii−iii3i3−i3−i32-200000i3−i30−ii000000000-110000−330000
χ522-22-22-1221-1-2-2-2-2212i−2i2i−2i-12-102-111-11-21-2−3300−3−333−2i2i002i−2i2i−2i−ii−ii-1-1110−3300−3−333000−i3i3i3−i300−2i2i000000i−i−ii−iii3i3−i3−i3-2200000−i3i30i−i0000000001-100003−30000
χ532-22-22-1221-1-2-2-2-221−2i2i−2i2i-12-102-111-11-21-23−30033−3−32i−2i00−2i2i−2i2ii−ii−i-1-11103−30033−3−3000−i3i3i3−i3002i−2i000000−iii−ii−ii3i3−i3−i3-2200000−i3i30−ii0000000001-10000−330000
χ542-22-22-1221-1-2-2-2-221−2i2i−2i2i-12-102-111-11-21-23−30033−3−3−2i2i00−2i2i−2i2ii−ii−i-1-11103−30033−3−3000i3−i3i3−i300−2i2i000000i−ii−ii−ii3i3−i3−i32-200000i3−i30i−i000000000-1100003−30000
χ552-22-22-1221-1-2-2-2-221−2i2i−2i2i-12-102-111-11-21-2−3300−3−3332i−2i00−2i2i−2i2ii−ii−i-1-1110−3300−3−333000i3−i3−i3i3002i−2i000000−iii−ii−i−i3−i3i3i3-2200000i3−i30−ii0000000001-100003−30000
χ562-22-22-1221-1-2-2-2-221−2i2i−2i2i-12-102-111-11-21-2−3300−3−333−2i2i00−2i2i−2i2ii−ii−i-1-1110−3300−3−333000−i3i3−i3i300−2i2i000000i−ii−ii−i−i3−i3i3i32-200000−i3i30i−i000000000-110000−330000
χ572-2-22222-2-2-2-2-222-222-2-222220-2-2-2-2-2222-200000000002-22-2-222-2-222-22-2000000000000000000002-22-200002-2-220000002-2000000002-2000002-2000000000000
χ582-2-22222-2-2-2-2-222-222-2-222220-2-2-2-2-2222-20000000000-222-2-222-2-222-22-200000000000000000000-22-2200002-2-22000000-2200000000-2200000-22000000000000
χ592-2-22222-2-2-2-2-222-22-222-22220-2-2-2-2-2222-200000000002-2-222-2-222-22-22-2000000000000000000002-22-20000-222-2000000-22000000002-200000-22000000000000
χ602-2-22222-2-2-2-2-222-22-222-22220-2-2-2-2-2222-20000000000-22-222-2-222-22-22-200000000000000000000-22-220000-222-20000002-200000000-22000002-2000000000000
χ612-2-22-122-2-2-21-2-12122-2-22-1-1201-21-21-1-121003−33−33−3002-2-111-12-2-22-11-110003−33−33−300000003−300-112-23−300-111-13−33−3002-200000000-113−3000-1100003−3000000
χ622-2-22-122-2-2-21-2-12122-2-22-1-1201-21-21-1-121003−33−33−300-22-111-12-2-22-11-110003−33−33−30000000−33001-1-223−300-111-13−33−300-22000000001-1−330001-10000−33000000
χ632-2-22-122-2-2-21-2-12122-2-22-1-1201-21-21-1-12100−33−33−33002-2-111-12-2-22-11-11000−33−33−330000000−3300-112-2−3300-111-1−33−33002-200000000-11−33000-110000−33000000
χ642-2-22-122-2-2-21-2-12122-2-22-1-1201-21-21-1-12100−33−33−3300-22-111-12-2-22-11-11000−33−33−3300000003−3001-1-22−3300-111-1−33−3300-22000000001-13−30001-100003−3000000
χ652-2-22-122-2-2-21-2-1212-222-2-1-1201-21-21-1-121003−33−33−3002-21-1-11-222-2-11-110003−33−33−300000003−300-112-2−33001-1-11−33−3300-2200000000-113−30001-10000−33000000
χ662-2-22-122-2-2-21-2-1212-222-2-1-1201-21-21-1-121003−33−33−300-221-1-11-222-2-11-110003−33−33−30000000−33001-1-22−33001-1-11−33−33002-2000000001-1−33000-1100003−3000000
χ672-2-22-122-2-2-21-2-1212-222-2-1-1201-21-21-1-12100−33−33−33002-21-1-11-222-2-11-11000−33−33−330000000−3300-112-23−3001-1-113−33−300-2200000000-11−330001-100003−3000000
χ682-2-22-122-2-2-21-2-1212-222-2-1-1201-21-21-1-12100−33−33−3300-221-1-11-222-2-11-11000−33−33−3300000003−3001-1-223−3001-1-113−33−3002-2000000001-13−3000-110000−33000000
χ6944444-2-2-2-2-24-24-24-20000-2-214-21-21-2-2-21-2-2-244-2-2-2-24400000000001111-211-2-21111400-2-20000-2-2000000-2-200000000000000-211011000000000000000000000
χ7044444-2-2-2-2-24-24-24-20000-2-214-21-21-2-2-21-2-2-244-2-2-2-2-4-400000000001111-211-2-21111-4002200002200000022000000000000002-1-10-1-1000000000000000000000
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χ974-44-4-2444-442-42-4-2-44i−4i4i−4i-2-240-242-4-222-42000000000000−2i2i−2i2i4i−4i4i−4i-2-2220000000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000
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χ994-44-4-2-2442-22-42-4-224i−4i4i−4i1-2-20-2-2-121-122223−2300−3−3330000−2i2i−2i2i−2i2i−2i2i11-1-1023−2300−3−33300000−2i32i3000000000000i−ii−ii3i3−i3−i3000000000000000000000000000000000
χ1004-44-4-2-2442-22-42-4-224i−4i4i−4i1-2-20-2-2-121-1222−23230033−3−30000−2i2i−2i2i−2i2i−2i2i11-1-10−23230033−3−3000002i3−2i3000000000000i−ii−i−i3−i3i3i3000000000000000000000000000000000
χ1014-44-4-2-2442-22-42-4-22−4i4i−4i4i1-2-20-2-2-121-122223−2300−3−33300002i−2i2i−2i2i−2i2i−2i11-1-1023−2300−3−333000002i3−2i3000000000000−ii−ii−i3−i3i3i3000000000000000000000000000000000
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χ1114-4-44-2-24-4222-4-242-24-4-441-2-2022-12-11-2-220023−23−33−330000-222-2-222-21-11-100023−23−33−3300000000000000023−23001-1-11−33−33000000000000000000000000000000000
χ1124-4-44-2-24-4222-4-242-24-4-441-2-2022-12-11-2-2200−23233−33−30000-222-2-222-21-11-1000−23233−33−3000000000000000−2323001-1-113−33−3000000000000000000000000000000000
χ1134-4-44-2-24-4222-4-242-2-444-41-2-2022-12-11-2-220023−23−33−3300002-2-222-2-221-11-100023−23−33−33000000000000000−232300-111-13−33−3000000000000000000000000000000000
χ1144-4-44-2-24-4222-4-242-2-444-41-2-2022-12-11-2-2200−23233−33−300002-2-222-2-221-11-1000−23233−33−300000000000000023−2300-111-1−33−33000000000000000000000000000000000
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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χ11788-8-88-4-44-448-4-84-840000-4-4204-2-42444-2-4000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
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χ1218-88-8-48-4-4-884444-4-80000-42-402-444-44-24-20000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-4-4-444444-4-44-400002220-2-2-2-2-2222-200−434323−2323−23000000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000000

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