Finite Group Databasebeta

← Group #13170745

Character table — Group #13170745

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order122233366666666633346666666661212224444366612121212121212121212121244442446666121212121212121212121212224412121212666666121212121212121212122446612121212226124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111111111111111111-11111111111-1-11111-1-1-1-1-1-11111-1-111-1-1111111-1-111-11-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-111111-1-1-1-11111-1-111-1-111-1-1-1-11111111-111-1-111-1-1-1-11-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-1-11-1-111-1-1-1-1111-11
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-111-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-111-11-1-11111111-1-111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-11-1-1-111-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-11-1-1-1-1111111-1-1-11111-1-11-11
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1111111-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1111111-1-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1111-11111-1-1-1-111-1-1-11111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111111-11-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-111-1-111-1-1-1-11
χ17222222-1-1222-1-1222-12-12-12-12-1-12-1-122002222-1-1-1-12-122-1-1-1-1-1-1-1-10000220000022-1-1-1-1002222220000002-100-1-10-100-1-1-1-1-1-1200-1-1000000-100
χ18222222-1-1222-1-1222-12-12-12-12-1-12-1-1220022-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10000-220000022-1-1110022-2-2-2-2000000-2100110-100-1-111-1-1-20011000000100
χ19222222-1-1222-1-1222-12-12-12-12-1-12-1-12200-2-222-1-1-1-12-122-1-1-1-1-1-1-1-100002-200000-2-211-1-100-2-222-2-20000002-100-1-1010011-1-111-20011000000100
χ20222222-1-1222-1-1222-12-12-12-12-1-12-1-12200-2-2-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10000-2-200000-2-2111100-2-2-2-222000000-2100110100111111200-1-1000000-100
χ21222222-1-1222-1-1222-12-1-2-12-12-1-12-1-1-2-2002222-1-1-1-1-21-2-2111111110000-2-200000-2-2-1-1-1-100222222000000-2100110100-1-1-1-111-200-1-1000000100
χ22222222-1-1222-1-1222-12-1-2-12-12-1-12-1-1-2-20022-2-2-1-1-1-1-21-2-21111111100002-200000-2-2-1-1110022-2-2-2-20000002-100-1-10100-1-1111120011000000-100
χ23222222-1-1222-1-1222-12-1-2-12-12-1-12-1-1-2-200-2-222-1-1-1-1-21-2-2111111110000-22000002211-1-100-2-222-2-2000000-2100110-10011-1-1-1-120011000000-100
χ24222222-1-1222-1-1222-12-1-2-12-12-1-12-1-1-2-200-2-2-2-2-1-1-1-1-21-2-2111111110000220000022111100-2-2-2-2220000002-100-1-10-1001111-1-1-200-1-1000000100
χ2522222-122-1-122222-12-1-122-1-1-1-12-1-1222220022-1-1-1-1-12-1-1-1-122-1-1-1-1000020222-1-10000222200-1-100220000-12-1-1-1-1-10-1-100-1-1000020000-1-1000-10
χ2622222-122-1-122222-12-1-122-1-1-1-12-1-12222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-10000-20222-1-10000-2-222001100-2-200001-2-1-111-10-1-100110000-200001100010
χ2722222-122-1-122222-12-1-122-1-1-1-12-1-1222-2-20022-1-1-1-1-12-1-1-1-122-1-1-1-1000020-2-2-211000022-2-200-1-100-2-20000-1211-1-1101100-1-10000-200001100010
χ2822222-122-1-122222-12-1-122-1-1-1-12-1-1222-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-10000-20-2-2-2110000-2-2-2-20011002200001-2111110110011000020000-1-1000-10
χ2922222-122-1-122222-12-1-1-22-1-1-1-12-1-12-2-2220022-1-1-1-11-21111-2-211110000-20-222-1-1000022-2-200-1-1002200001-2-1-111101100-1-10000-20000-1-100010
χ3022222-122-1-122222-12-1-1-22-1-1-1-12-1-12-2-22200-2-2-1-1-1-11-21111-2-21111000020-222-1-10000-2-2-2-2001100-2-20000-12-1-1-1-11011001100002000011000-10
χ3122222-122-1-122222-12-1-1-22-1-1-1-12-1-12-2-2-2-20022-1-1-1-11-21111-2-211110000-202-2-2110000222200-1-100-2-200001-21111-10-1-100-1-100002000011000-10
χ3222222-122-1-122222-12-1-1-22-1-1-1-12-1-12-2-2-2-200-2-2-1-1-1-11-21111-2-211110000202-2-2110000-2-222001100220000-1211-1-1-10-1-100110000-20000-1-100010
χ332222-122222-122-1-12-1-122-1-12-12-1-12-1-1-1222200-1-1-1-122-1-122-1-1-1-1-1-12222022-1-122-1-12200-1-1-1-1000000-1-1-1-100-1-10022-1-1-1-100-1-102000-1-10000000
χ342222-122222-122-1-12-1-122-1-12-12-1-12-1-1-122-2-200-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-20-22-1-12211-2-200-1-111000000111100-1-1002-2-1-11100110-2000110000000
χ352222-122222-122-1-12-1-122-1-12-12-1-12-1-1-1-2-22200-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-202-211-2-2-1-1220011-1-10000001111001100-2211-1-100-1-10-2000110000000
χ362222-122222-122-1-12-1-122-1-12-12-1-12-1-1-1-2-2-2-200-1-1-1-122-1-122-1-1-1-1-1-122220-2-211-2-211-2-2001111000000-1-1-1-1001100-2-21111001102000-1-10000000
χ372222-122222-122-1-12-1-12-2-1-12-12-1-12-111222200-1-1-1-1-2-211-2-211111122220-2-2-1-12211220011-1-1000000-1-1-1-100-1-100-2-211-1-100110-2000110000000
χ382222-122222-122-1-12-1-12-2-1-12-12-1-12-11122-2-200-1-1-1-1-2-211-2-2111111-2-2-2-202-2-1-122-1-1-2-2001111000000111100-1-100-22111100-1-102000-1-10000000
χ392222-122222-122-1-12-1-12-2-1-12-12-1-12-111-2-22200-1-1-1-1-2-211-2-2111111-2-2-2-20-2211-2-2112200-1-1-1-100000011110011002-2-1-1-1-1001102000-1-10000000
χ402222-122222-122-1-12-1-12-2-1-12-12-1-12-111-2-2-2-200-1-1-1-1-2-211-2-2111111222202211-2-2-1-1-2-200-1-111000000-1-1-1-100110022-1-11100-1-10-2000110000000
χ4122-2-2222-22-222-2-2-2-22220-2-2-222-2-2-22000000002-2-220000000000002i2i−2i−2i00000000000000000002-22i−2i2i2i−2i−2i00000000000000000002-2002i−2i00000
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χ542-2-22-122-2-2-21-221-12-1-1201-1-21-2-11213−32-2-2200-11-11003−3003−333−3−3-222-2000-112-2−33-22003−31-10000001-1-1100-1100003−31-100−3300000−330000000
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χ894-4-4444-22-4-4-42-2-444-24-20242-42-2-4-2200004-400-22-220000000000000000000000000-2200004-400000000000000000000-22000000000000000000
χ904-4-4444-22-4-4-42-2-444-24-20242-42-2-4-220000-4400-22-2200000000000000000000000002-20000-44000000000000000000002-2000000000000000000
χ914-4-444-24-422-4-44-44-24-2-20-4-222242-2-4004-40000-22-2200000000000000000004-4-220000000000000000000000-2200000000000000000000000000
χ924-4-444-24-422-4-44-44-24-2-20-4-222242-2-400-440000-22-220000000000000000000-442-200000000000000000000002-200000000000000000000000000
χ934-4-44-24-22-4-422-22-241-2-20-1-222212-2-123−23004-4001-11-10023−2300−33−3−3330000000000023−23-220000-22000000000000000000001-100−3300000000000000
χ944-4-44-24-22-4-422-22-241-2-20-1-222212-2-123−2300-44001-11-10023−2300−33−3−33300000000000−23232-200002-200000000000000000000-11003−300000000000000
χ954-4-44-24-22-4-422-22-241-2-20-1-222212-2-1−2323004-4001-11-100−2323003−333−3−300000000000−2323-220000-22000000000000000000001-1003−300000000000000
χ964-4-44-24-22-4-422-22-241-2-20-1-222212-2-1−232300-44001-11-100−2323003−333−3−30000000000023−232-200002-200000000000000000000-1100−3300000000000000
χ974-4-44-2-24-4222-442-2-2-21-20212-12-2-1-2223−234-400001-11-100−330023−23−3−3330000000-22-2200000023−23000000000000001-10000−3300000000000000000000
χ984-4-44-2-24-4222-442-2-2-21-20212-12-2-1-2223−23-4400001-11-100−330023−23−3−33300000002-22-2000000−232300000000000000-1100003−300000000000000000000
χ994-4-44-2-24-4222-442-2-2-21-20212-12-2-1-22−23234-400001-11-1003−300−232333−3−30000000-22-22000000−2323000000000000001-100003−300000000000000000000
χ1004-4-44-2-24-4222-442-2-2-21-20212-12-2-1-22−2323-4400001-11-1003−300−232333−3−300000002-22-200000023−2300000000000000-110000−3300000000000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-44-448-44-8-84-4-42044-2-4244-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-448-8-4-4444-82-4-40-244-4-4-2442000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-48-8-44-48-8444-42-404-242-44-24-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-44-4-444442220-2-2-222-2-2-2200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-44-44-4-444442220-2-2-222-2-2-2200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-4-4-88444-44-82-4-4024-444-2-44-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4884-44-8-8-444-42-40-4-2-4-2442440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-44-4444-44422202-22-2-2-22-2-200000000-1-11100006i−6i00−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-44-4444-44422202-22-2-2-22-2-200000000-1-1110000−6i6i003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1128-8-888-4-4444-84-4-88-4-4-4204-4-24-2-4424000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-44-4-42220-22-2-2-22-22-243−43000000-11-1100−232300−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-44-4-42220-22-2-2-22-22-2−4343000000-11-110023−230023−23−3−3330000000000000000000000000000000000000000000000000000000000000

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