Finite Group Databasebeta

← Group #13168254

Character table — Group #13168254

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order122233344666666666333666666666121212121212121212122244441212121236661212121212121212224666666666666661212121212121212121212124412121212666661212121212444441212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-11111111111-1-11111-1-1-1-1-1-1-111-1-1-111-1-11-1-11-111-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11-11-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111111111-1-111-1-1111111-1-1-1-1-1-11-1-1111-1-111-1-11-11-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111-1-11-111-1-11111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-11111-1-11-11
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-111-1-11-1-111-1-1-111-1-1-1-11111-11-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111111-1-111-11-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111111111-1-11111-1-1-1-1-1-111-1-1-1-1111111-111-1-11-1-1111-11-1-111-1-1-1-1-1-11-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111111111111-1-111-111-1-11-11-1-111-1-1-1-1111-1-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-1-1-1-111
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111111-1-111-111-1-1-1-1-111-1-1-1-111-1-1-111
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-11111111-1-1
χ17222222-12222-122-12-122-1-12-1-1-12-12-1-12222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1222000022-1-122-1-1-1-100-1-10022-1-1-1-1000000-100-1-1-100-1-10020200000000-1-10
χ18222222-12222-122-12-122-1-12-1-1-12-12-1-12222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-12-2-2000022-1-1-2-2-1-1-1-100-1-100-2-2-1-1-1-1000000100111001100-20-200000000110
χ19222222-12222-122-12-122-1-12-1-1-12-12-1-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2220000-2-211221111001100221111000000-100-1-1-100-1-100-20-200000000110
χ20222222-12222-122-12-122-1-12-1-1-12-12-1-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-20000-2-211-2-21111001100-2-2111100000010011100110020200000000-1-10
χ21222222-1-2-222-122-12-122-1-12-1-1-12-12-1-1-2-2-2-21111110000222222-1-1-1-1-2-2111111-22-20000-2-21122111100-1-100-2-2-1-1-1-1000000-100-1-1100110020-200000000-110
χ22222222-1-2-222-122-12-122-1-12-1-1-12-12-1-1-2-2-2-21111110000222222-1-1-1-1-2-2111111-2-220000-2-211-2-2111100-1-10022-1-1-1-100000010011-100-1-100-202000000001-10
χ23222222-1-2-222-122-12-122-1-12-1-1-12-12-1-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-211111122-2000022-1-122-1-1-1-1001100-2-21111000000-100-1-11001100-202000000001-10
χ24222222-1-2-222-122-12-122-1-12-1-1-12-12-1-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-21111112-22000022-1-1-2-2-1-1-1-100110022111100000010011-100-1-10020-200000000-110
χ2522222-12222-122-12-122-12-1-12-1-1-12-12-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-120022-1-1-1-12200-1-1-1-1-1-1222200-1-1-1-10000000-1-1000-1-10020020-1-100-1-100000
χ2622222-12222-122-12-122-12-1-12-1-1-12-12-122-1-122-1-1-1-12222-2-21111-1-1-1-1-1-122-1-1-1-1-20022-1-111-2-2001111-1-1-2-2220011110000000-1-1000-1-100-200-2011001100000
χ2722222-12222-122-12-122-12-1-12-1-1-12-12-122-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1200-2-211-1-12200-1-1-1-11122-2-200-1-1-1-10000000110001100-200-2011001100000
χ2822222-12222-122-12-122-12-1-12-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-1-200-2-21111-2-200111111-2-2-2-2001111000000011000110020020-1-100-1-100000
χ2922222-12-2-22-122-12-122-12-1-12-1-1-12-12-1-2-211-2-2111122-2-222-1-1-1-1-1-1-1-111-2-21111-20022-1-111-2-20011111122-2-200-1-1-1-10000000-1-10001100-200201100-1-100000
χ3022222-12-2-22-122-12-122-12-1-12-1-1-12-12-1-2-211-2-2111122-2-2-2-21111-1-1-1-111-2-2111120022-1-1-1-12200-1-1-1-111-2-2-2-20011110000000-1-10001100200-20-1-1001100000
χ3122222-12-2-22-122-12-122-12-1-12-1-1-12-12-1-2-211-2-21111-2-22222-1-1-1-1-1-1-1-111-2-21111-200-2-21111-2-2001111-1-1222200-1-1-1-1000000011000-1-100200-20-1-1001100000
χ3222222-12-2-22-122-12-122-12-1-12-1-1-12-12-1-2-211-2-21111-2-222-2-21111-1-1-1-111-2-21111200-2-211-1-12200-1-1-1-1-1-1-2-222001111000000011000-1-100-200201100-1-100000
χ332222-12222-122-12222-1-1-12-1-122-1-1-1-12-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-1022-1-1220000-1-100002200-1-1-1-1000022-1-1-1-12-1-1-1-12-1-1-1-10200000-1-10000000
χ342222-12222-122-12222-1-1-12-1-122-1-1-1-12-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2-1-12200001100002200-1-1110000-2-21111-2-1-111-2-1-1110-200000110000000
χ352222-12222-122-12222-1-1-12-1-122-1-1-1-12-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-102211-2-20000-1-10000-2-20011-1-10000-2-21111211-1-1211-1-10-200000110000000
χ362222-12222-122-12222-1-1-12-1-122-1-1-1-12-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-10-2-211-2-20000110000-2-2001111000022-1-1-1-1-21111-211110200000-1-10000000
χ372222-122-2-2-122-12222-1-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-222-2-2000000-1-1-1-11111111102-2-1-1220000-1-10000-2-20011110000-2-211112-1-1-1-1-211110200000-1-10000000
χ382222-122-2-2-122-12222-1-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-222-2-2000000-1-1-1-1111111110-22-1-1220000110000-2-20011-1-1000022-1-1-1-1-2-1-111211-1-10-200000110000000
χ392222-122-2-2-122-12222-1-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-2-2-222000000-1-1-1-11111111102-211-2-20000-1-100002200-1-111000022-1-1-1-1211-1-1-2-1-1110-200000110000000
χ402222-122-2-2-122-12222-1-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-2-2-222000000-1-1-1-1111111110-2211-2-200001100002200-1-1-1-10000-2-21111-211112-1-1-1-10200000-1-10000000
χ4122-2-222200-222-2-2-2-2-22222-2-22-2-2-222-2000000000000002i−2i2i2i−2i−2i22-2-20000000000000000000000000002i−2i00002i2i−2i−2i2-222-2-20000000000000000000002i−2i000
χ4222-2-222200-222-2-2-2-2-22222-2-22-2-2-222-2000000000000002i−2i2i2i−2i−2i22-2-20000000000000000000000000002i−2i00002i2i−2i−2i-22-2-222000000000000000000000−2i2i000
χ4322-2-222200-222-2-2-2-2-22222-2-22-2-2-222-200000000000000−2i2i−2i−2i2i2i22-2-2000000000000000000000000000−2i2i0000−2i−2i2i2i2-222-2-2000000000000000000000−2i2i000
χ4422-2-222200-222-2-2-2-2-22222-2-22-2-2-222-200000000000000−2i2i−2i−2i2i2i22-2-2000000000000000000000000000−2i2i0000−2i−2i2i2i-22-2-2220000000000000000000002i−2i000
χ452-22-22222i−2i-2-2-2222-2-2-222222-22-2-2-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22i−2i0000002-22-22i−2i2i−2i2i2i−2i−2i0002-22-200000000002i−2i002i−2i00000000000002-20002i−2i000000000000000000
χ462-22-22222i−2i-2-2-2222-2-2-222222-22-2-2-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i-22−2i2i0000002-22-22i−2i2i−2i2i2i−2i−2i000-22-220000000000−2i2i00−2i2i0000000000000-22000−2i2i000000000000000000
χ472-22-2222−2i2i-2-2-2222-2-2-222222-22-2-2-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2−2i2i0000002-22-2−2i2i−2i2i−2i−2i2i2i0002-22-20000000000−2i2i00−2i2i00000000000002-2000−2i2i000000000000000000
χ482-22-2222−2i2i-2-2-2222-2-2-222222-22-2-2-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i-222i−2i0000002-22-2−2i2i−2i2i−2i−2i2i2i000-22-2200000000002i−2i002i−2i0000000000000-220002i−2i000000000000000000
χ492-22-22-122i−2i-21-22-121-2-2-12-1-121-11-21-212i−2i−ii2i−2i−i−iii2-22i−2i003−33−3-11-11−ii2i−2i−i−iii0002-2-11−i3i30000−i3−i3i3i3−ii002i−2i003−33−30000000-11000−ii0000000−i3i3003−300000
χ502-22-22-122i−2i-21-22-121-2-2-12-1-121-11-21-212i−2i−ii2i−2i−i−iii2-22i−2i00−33−33-11-11−ii2i−2i−i−iii0002-2-11i3−i30000i3i3−i3−i3−ii002i−2i00−33−330000000-11000−ii0000000i3−i300−3300000
χ512-22-22-122i−2i-21-22-121-2-2-12-1-121-11-21-212i−2i−ii2i−2i−i−iii-22−2i2i003−33−3-11-11−ii2i−2i−i−iii000-221-1−i3i30000−i3−i3i3i3i−i00−2i2i003−33−300000001-1000i−i0000000i3−i300−3300000
χ522-22-22-122i−2i-21-22-121-2-2-12-1-121-11-21-212i−2i−ii2i−2i−i−iii-22−2i2i00−33−33-11-11−ii2i−2i−i−iii000-221-1i3−i30000i3i3−i3−i3i−i00−2i2i00−33−3300000001-1000i−i0000000−i3i3003−300000
χ532-22-22-12−2i2i-21-22-121-2-2-12-1-121-11-21-21−2i2ii−i−2i2iii−i−i2-2−2i2i003−33−3-11-11i−i−2i2iii−i−i0002-2-11i3−i30000i3i3−i3−i3i−i00−2i2i003−33−30000000-11000i−i0000000i3−i3003−300000
χ542-22-22-12−2i2i-21-22-121-2-2-12-1-121-11-21-21−2i2ii−i−2i2iii−i−i2-2−2i2i00−33−33-11-11i−i−2i2iii−i−i0002-2-11−i3i30000−i3−i3i3i3i−i00−2i2i00−33−330000000-11000i−i0000000−i3i300−3300000
χ552-22-22-12−2i2i-21-22-121-2-2-12-1-121-11-21-21−2i2ii−i−2i2iii−i−i-222i−2i003−33−3-11-11i−i−2i2iii−i−i000-221-1i3−i30000i3i3−i3−i3−ii002i−2i003−33−300000001-1000−ii0000000−i3i300−3300000
χ562-22-22-12−2i2i-21-22-121-2-2-12-1-121-11-21-21−2i2ii−i−2i2iii−i−i-222i−2i00−33−33-11-11i−i−2i2iii−i−i000-221-1−i3i30000−i3−i3i3i3−ii002i−2i00−33−3300000001-1000−ii0000000i3−i3003−300000
χ572-22-2-1222i−2i1-2-2-122-2-21-1-12-1-1-221111-2−ii2i−2i2i−2i2i2i−2i−2i2-22i−2i000000-11-11−ii−ii−i−iii000-112-20000−i3i300002i−2i00−ii3−30000003−33−30-11−i3i30−ii3−30000000−i3i30000000
χ582-22-2-1222i−2i1-2-2-122-2-21-1-12-1-1-221111-2−ii2i−2i2i−2i2i2i−2i−2i2-22i−2i000000-11-11−ii−ii−i−iii000-112-20000i3−i300002i−2i00−ii−33000000−33−330-11i3−i30−ii−330000000i3−i30000000
χ592-22-2-1222i−2i1-2-2-122-2-21-1-12-1-1-221111-2−ii2i−2i2i−2i2i2i−2i−2i-22−2i2i000000-11-11−ii−ii−i−iii0001-1-220000−i3i30000−2i2i00i−i3−3000000−33−3301-1−i3i30i−i3−30000000i3−i30000000
χ602-22-2-1222i−2i1-2-2-122-2-21-1-12-1-1-221111-2−ii2i−2i2i−2i2i2i−2i−2i-22−2i2i000000-11-11−ii−ii−i−iii0001-1-220000i3−i30000−2i2i00i−i−330000003−33−301-1i3−i30i−i−330000000−i3i30000000
χ612-22-2-122−2i2i1-2-2-122-2-21-1-12-1-1-221111-2i−i−2i2i−2i2i−2i−2i2i2i2-2−2i2i000000-11-11i−ii−iii−i−i000-112-20000−i3i30000−2i2i00i−i−33000000−33−330-11−i3i30i−i−330000000−i3i30000000
χ622-22-2-122−2i2i1-2-2-122-2-21-1-12-1-1-221111-2i−i−2i2i−2i2i−2i−2i2i2i2-2−2i2i000000-11-11i−ii−iii−i−i000-112-20000i3−i30000−2i2i00i−i3−30000003−33−30-11i3−i30i−i3−30000000i3−i30000000
χ632-22-2-122−2i2i1-2-2-122-2-21-1-12-1-1-221111-2i−i−2i2i−2i2i−2i−2i2i2i-222i−2i000000-11-11i−ii−iii−i−i0001-1-220000−i3i300002i−2i00−ii−330000003−33−301-1−i3i30−ii−330000000i3−i30000000
χ642-22-2-122−2i2i1-2-2-122-2-21-1-12-1-1-221111-2i−i−2i2i−2i2i−2i−2i2i2i-222i−2i000000-11-11i−ii−iii−i−i0001-1-220000i3−i300002i−2i00−ii3−3000000−33−3301-1i3−i30−ii3−30000000−i3i30000000
χ6544444-2-2444-2-24-2-2-2-24-2-21-2-211-2-2-2-2144-2-2-2-21111000044-2-2-2-21111-2-2-2-211114000000-2-2-2-200111100-2-20000111100000000000000000000000000000000
χ6644444-2-2444-2-24-2-2-2-24-2-21-2-211-2-2-2-2144-2-2-2-211110000-4-422221111-2-2-2-21111-4000000222200-1-1-1-100220000-1-1-1-100000000000000000000000000000000
χ6744444-2-2-4-44-2-24-2-2-2-24-2-21-2-211-2-2-2-21-4-42222-1-1-1-1000044-2-2-2-211112222-1-1-1-1-4000000222200-1-1-1-100-2-20000111100000000000000000000000000000000
χ6844444-2-2-4-44-2-24-2-2-2-24-2-21-2-211-2-2-2-21-4-42222-1-1-1-10000-4-4222211112222-1-1-1-14000000-2-2-2-200111100220000-1-1-1-100000000000000000000000000000000
χ694444-24-244-24-2-24-24-2-2-21-2-21-2-2-21-21-2-2-244-2-2-2-2-2-200000000001111-2-211111104400000000-2-20000000000-2-20000000000-20011-200110000000000000000
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χ1188-88-8-4-4-48i−8i444-4-4-444422222-22-2-2-2-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000000000-11-112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).