Finite Group Databasebeta

← Group #13168669

Character table — Group #13168669

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212444444121212123666121212121212121244412121212121212121212121212121212121212121212121212124412121212121212121212121212122444466121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111111-111-1-111-1-1-11-11-1-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-111-11111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1111-1-111-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-11-1-111-1-111-1-11-11-1-1-1-11111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-11111-1-111-1-1-1-111111111111-111-1-111-1-1-1-11-11-1-1-1-111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-11111-1-1111-1-111111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-11-111-11111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111111111-11-1-111-1-111-11-11-1-1-111-1-1-1-11-11
χ17222222-12222-1-122-1222-1-1-1-12-1-122-1-122-1-12222220022220000-1-1-1-1-1-1-1-1-1-1-1-1220-1-1-1-1-1-1-1-100002222000000000022-1-1-1-122-1-1-1-1-1-1-1-120000-1-1000000000
χ18222222-12222-1-122-1222-1-1-1-12-1-122-1-122-1-12222220022220000-1-1-1-1-1-1-1-1-1-1-1-1-2-20-1-1-1-11111000022220000000000-2-21111-2-2-1-1-1-11111-2000011000000000
χ19222222-12222-1-122-1222-1-1-1-12-1-122-1-122-1-122222200-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-12201111-1-1-1-10000-2-2-2-20000000000-2-21111221111-1-1-1-1-2000011000000000
χ20222222-12222-1-122-1222-1-1-1-12-1-122-1-122-1-122222200-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-2-20111111110000-2-2-2-2000000000022-1-1-1-1-2-21111111120000-1-1000000000
χ21222222-1-2-222-1-122-1222-1-1-1-12-1-122-1-1-2-211-2-2-2-2-2-20022-2-20000-1-1-1-1111111112-20-1-111-1-111000022-2-2000000000022-1-1-1-12-2-1-111-1-111-2000011000000000
χ22222222-1-2-222-1-122-1222-1-1-1-12-1-122-1-1-2-211-2-2-2-2-2-20022-2-20000-1-1-1-111111111-220-1-11111-1-1000022-2-20000000000-2-21111-22-1-11111-1-120000-1-1000000000
χ23222222-1-2-222-1-122-1222-1-1-1-12-1-122-1-1-2-211-2-2-2-2-2-200-2-2220000-1-1-1-1111111112-2011-1-1-1-1110000-2-2220000000000-2-211112-211-1-1-1-11120000-1-1000000000
χ24222222-1-2-222-1-122-1222-1-1-1-12-1-122-1-1-2-211-2-2-2-2-2-200-2-2220000-1-1-1-111111111-22011-1-111-1-10000-2-222000000000022-1-1-1-1-2211-1-111-1-1-2000011000000000
χ2522222-12222-1222-12-12-12-12-1-12-1-1-12-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-10022222000022-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-1-1-1-100000002200-1-1-1-100000
χ2622222-12222-1222-12-12-12-12-1-12-1-1-12-12222-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-1-1002-2-2-2-2000022-1-1111122-1-1-1-1-1-1-1-10000000011110000000-2-200111100000
χ2722222-12222-1222-12-12-12-12-1-12-1-1-12-12222-1-1-1-1-1-1-2-222221111-1-1-1-122-1-1-1-1-1-100-222220000-2-211-1-1-1-1-2-21111111100000000-1-1-1-10000000-2-200111100000
χ2822222-12222-1222-12-12-12-12-1-12-1-1-12-12222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-1-1-1-1-1-100-2-2-2-2-20000-2-2111111-2-21111111100000000111100000002200-1-1-1-100000
χ2922222-12-2-22-1222-12-12-12-12-1-12-1-1-12-1-2-2-2-21111112222-2-2-1-1-1-1-1-1-1-1-2-211111100-222-2-200002211-1-111-2-2-1-1-1-1111100000000-1-11100000002-200-1-11100000
χ3022222-12-2-22-1222-12-12-12-12-1-12-1-1-12-1-2-2-2-211111122-2-222-1-1-1-1-1-1-1-1-2-211111100-2-2-2220000221111-1-1-2-2-1-1-1-111110000000011-1-10000000-220011-1-100000
χ3122222-12-2-22-1222-12-12-12-12-1-12-1-1-12-1-2-2-2-2111111-2-222-2-21111-1-1-1-1-2-211111100222-2-20000-2-2-1-1-1-111221111-1-1-1-100000000-1-1110000000-220011-1-100000
χ3222222-12-2-22-1222-12-12-12-12-1-12-1-1-12-1-2-2-2-2111111-2-2-2-2221111-1-1-1-1-2-2111111002-2-2220000-2-2-1-111-1-1221111-1-1-1-10000000011-1-100000002-200-1-11100000
χ332222-12222-1222-1222-1-1-12-12-1-12-1-1-12-1-12222-1-1-1-12200002222-1-1-1-1-1-122-1-1-1-122200002222-1-1220000-1-1-1-1-1-1-1-1-1-1000000-1-10000-1-1-1-10220000000000-1-10
χ342222-12222-1222-1222-1-1-12-12-1-12-1-1-12-1-12222-1-1-1-12200002222-1-1-1-1-1-122-1-1-1-1-2-220000-2-2-2-2-1-1220000-1-1-1-1-1-1-1-1-1-100000011000011110-2-20000000000110
χ352222-12222-1222-1222-1-1-12-12-1-12-1-1-12-1-12222-1-1-1-1-2-20000-2-2-2-2-1-1-1-1-1-122-1-1-1-122-20000222211-2-200001111111111000000-1-10000-1-1-1-10-2-20000000000110
χ362222-12222-1222-1222-1-1-12-12-1-12-1-1-12-1-12222-1-1-1-1-2-20000-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-2-20000-2-2-2-211-2-20000111111111100000011000011110220000000000-1-10
χ372222-122-2-2-1222-1222-1-1-12-12-1-12-1-1-1211-2-2-2-211112200002222-1-1-1-111-2-211112-2-2000022-2-2-1-1-2-2000011-1-1-1-11111000000-110000-1-11102-20000000000-110
χ382222-122-2-2-1222-1222-1-1-12-12-1-12-1-1-1211-2-2-2-211112200002222-1-1-1-111-2-21111-22-20000-2-222-1-1-2-2000011-1-1-1-111110000001-1000011-1-10-2200000000001-10
χ392222-122-2-2-1222-1222-1-1-12-12-1-12-1-1-1211-2-2-2-21111-2-20000-2-2-2-2-1-1-1-111-2-211112-22000022-2-211220000-1-11111-1-1-1-1000000-110000-1-1110-2200000000001-10
χ402222-122-2-2-1222-1222-1-1-12-12-1-12-1-1-1211-2-2-2-21111-2-20000-2-2-2-2-1-1-1-111-2-21111-2220000-2-22211220000-1-11111-1-1-1-10000001-1000011-1-102-20000000000-110
χ412-22-222200-2-22-2-22-2-222222-2-2-2-22-2-2200000000002i−2i00002i2i−2i−2i22-2-200000000000000000002i−2i000000002i2i−2i−2i00002i−2i2i2i−2i−2i0000000000000000000002-2000
χ422-22-222200-2-22-2-22-2-222222-2-2-2-22-2-2200000000002i−2i00002i2i−2i−2i22-2-200000000000000000002i−2i000000002i2i−2i−2i0000−2i2i−2i−2i2i2i000000000000000000000-22000
χ432-22-222200-2-22-2-22-2-222222-2-2-2-22-2-220000000000−2i2i0000−2i−2i2i2i22-2-20000000000000000000−2i2i00000000−2i−2i2i2i00002i−2i2i2i−2i−2i000000000000000000000-22000
χ442-22-222200-2-22-2-22-2-222222-2-2-2-22-2-220000000000−2i2i0000−2i−2i2i2i22-2-20000000000000000000−2i2i00000000−2i−2i2i2i0000−2i2i−2i−2i2i2i0000000000000000000002-2000
χ452-2-222222-22-2-2-2-2-222-2222-2-2222-2-2-2-22-22-22-222-2-2002i−2i2i−2i00002-2-222-22-222-2-20002i−2i2i−2i000000002i−2i2i−2i0000000000000000002i−2i2i−2i00000000000000000000
χ462-2-222222-22-2-2-2-2-222-2222-2-2222-2-2-2-22-22-22-222-2-200−2i2i−2i2i00002-2-222-22-222-2-2000−2i2i−2i2i00000000−2i2i−2i2i000000000000000000−2i2i−2i2i00000000000000000000
χ472-2-22222-222-2-2-2-2-222-2222-2-2222-2-2-2-2-22-22-22-2-222002i−2i−2i2i00002-2-22-22-22-2-2220002i−2i−2i2i000000002i−2i−2i2i0000000000000000002i−2i−2i2i00000000000000000000
χ482-2-22222-222-2-2-2-2-222-2222-2-2222-2-2-2-2-22-22-22-2-22200−2i2i2i−2i00002-2-22-22-22-2-222000−2i2i2i−2i00000000−2i2i2i−2i000000000000000000−2i2i2i−2i00000000000000000000
χ492-2-2222-12-22-211-2-2-12-22-1-1112-1-1-2-2112-2-112-222-2-2002i−2i2i−2i0000-111-1-11-11-1-111000−ii−ii3−33−300002i−2i2i−2i000000000000−i3i3−i3i300−ii−ii3−33−300000−i3i3000000000
χ502-2-2222-12-22-211-2-2-12-22-1-1112-1-1-2-2112-2-112-222-2-2002i−2i2i−2i0000-111-1-11-11-1-111000−ii−ii−33−3300002i−2i2i−2i000000000000i3−i3i3−i300−ii−ii−33−3300000i3−i3000000000
χ512-2-2222-12-22-211-2-2-12-22-1-1112-1-1-2-2112-2-112-222-2-200−2i2i−2i2i0000-111-1-11-11-1-111000i−ii−i3−33−30000−2i2i−2i2i000000000000i3−i3i3−i300i−ii−i3−33−300000i3−i3000000000
χ522-2-2222-12-22-211-2-2-12-22-1-1112-1-1-2-2112-2-112-222-2-200−2i2i−2i2i0000-111-1-11-11-1-111000i−ii−i−33−330000−2i2i−2i2i000000000000−i3i3−i3i300i−ii−i−33−3300000−i3i3000000000
χ532-2-2222-1-222-211-2-2-12-22-1-1112-1-1-2-211-221-1-22-2-222002i−2i−2i2i0000-111-11-11-111-1-1000−iii−i3−3−3300002i−2i−2i2i000000000000−i3i3−i3i300−iii−i3−3−3300000i3−i3000000000
χ542-2-2222-1-222-211-2-2-12-22-1-1112-1-1-2-211-221-1-22-2-222002i−2i−2i2i0000-111-11-11-111-1-1000−iii−i−333−300002i−2i−2i2i000000000000i3−i3i3−i300−iii−i−333−300000−i3i3000000000
χ552-2-2222-1-222-211-2-2-12-22-1-1112-1-1-2-211-221-1-22-2-22200−2i2i2i−2i0000-111-11-11-111-1-1000i−i−ii3−3−330000−2i2i2i−2i000000000000i3−i3i3−i300i−i−ii3−3−3300000−i3i3000000000
χ562-2-2222-1-222-211-2-2-12-22-1-1112-1-1-2-211-221-1-22-2-22200−2i2i2i−2i0000-111-11-11-111-1-1000i−i−ii−333−30000−2i2i2i−2i000000000000−i3i3−i3i300i−i−ii−333−300000i3−i3000000000
χ572-2-222-122-221-2-2-212-1-2-12-1-21-12-111-212-22-2-11-1-111002i−2i2i−2i3−33−3-111-12-2-11-1-1110002i−2i2i−2i0000003−3−ii−ii003−33−333−3−300000000−ii−ii00000000000−i3i3−i3i300000
χ582-2-222-122-221-2-2-212-1-2-12-1-21-12-111-212-22-2-11-1-111002i−2i2i−2i−33−33-111-12-2-11-1-1110002i−2i2i−2i000000−33−ii−ii00−33−33−3−33300000000−ii−ii00000000000i3−i3i3−i300000
χ592-2-222-122-221-2-2-212-1-2-12-1-21-12-111-212-22-2-11-1-11100−2i2i−2i2i3−33−3-111-12-2-11-1-111000−2i2i−2i2i0000003−3i−ii−i003−33−333−3−300000000i−ii−i00000000000i3−i3i3−i300000
χ602-2-222-122-221-2-2-212-1-2-12-1-21-12-111-212-22-2-11-1-11100−2i2i−2i2i−33−33-111-12-2-11-1-111000−2i2i−2i2i000000−33i−ii−i00−33−33−3−33300000000i−ii−i00000000000−i3i3−i3i300000
χ612-2-222-12-2221-2-2-212-1-2-12-1-21-12-111-21-22-221-111-1-1002i−2i−2i2i3−33−3-111-1-221-111-1-10002i−2i−2i2i000000−33−iii−i003−33−3−3−33300000000−iii−i00000000000−i3i3i3−i300000
χ622-2-222-12-2221-2-2-212-1-2-12-1-21-12-111-21-22-221-111-1-1002i−2i−2i2i−33−33-111-1-221-111-1-10002i−2i−2i2i0000003−3−iii−i00−33−3333−3−300000000−iii−i00000000000i3−i3−i3i300000
χ632-2-222-12-2221-2-2-212-1-2-12-1-21-12-111-21-22-221-111-1-100−2i2i2i−2i3−33−3-111-1-221-111-1-1000−2i2i2i−2i000000−33i−i−ii003−33−3−3−33300000000i−i−ii00000000000i3−i3−i3i300000
χ642-2-222-12-2221-2-2-212-1-2-12-1-21-12-111-21-22-221-111-1-100−2i2i2i−2i−33−33-111-1-221-111-1-1000−2i2i2i−2i0000003−3i−i−ii00−33−3333−3−300000000i−i−ii00000000000−i3i3i3−i300000
χ6544444-2-2444-2-2-24-2-2-24-2-21-21-2-21-2-2-2144-2-2-2-2-2-2-2-200444400001111-2-2111111000-2-2-2-200000000-2-2-2-2000000000000000000111100000000000000000000
χ6644444-2-2444-2-2-24-2-2-24-2-21-21-2-21-2-2-2144-2-2-2-2-2-2-2-200-4-4-4-400001111-2-21111110002222000000002222000000000000000000-1-1-1-100000000000000000000
χ6744444-2-2-4-44-2-2-24-2-2-24-2-21-21-2-21-2-2-21-4-4222222220044-4-40000111122-1-1-1-1-1-1000-2-22200000000-2-22200000000000000000011-1-100000000000000000000
χ6844444-2-2-4-44-2-2-24-2-2-24-2-21-21-2-21-2-2-21-4-42222222200-4-4440000111122-1-1-1-1-1-100022-2-20000000022-2-2000000000000000000-1-11100000000000000000000
χ694444-24-244-24-2-2-24-24-2-21-21-2-21-2-2-21-2-2-2-2-244-2-2-2-20000000000111111-2-211114400000-2-2-2-2000000000000000000000000-2-2000011110000000000000000
χ704444-24-244-24-2-2-24-24-2-21-21-2-21-2-2-21-2-2-2-2-244-2-2-2-20000000000111111-2-21111-4-4000002222000000000000000000000000220000-1-1-1-10000000000000000
χ714444-24-2-4-4-24-2-2-24-24-2-21-21-2-21-2-2-21-22222-4-4222200000000001111-1-122-1-1-1-14-400000-2-222000000000000000000000000-22000011-1-10000000000000000
χ724444-24-2-4-4-24-2-2-24-24-2-21-21-2-21-2-2-21-22222-4-4222200000000001111-1-122-1-1-1-1-440000022-2-20000000000000000000000002-20000-1-1110000000000000000
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Here i is the imaginary unit (i² = −1).