Finite Group Databasebeta

← Group #13170750

Character table — Group #13170750

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order122233366666666633346666666661212224444366612121212121212121212121222224446666121212121212121212121212444466666612121212121212121212121212124441212121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-11-11111111-1-111-1-111-1-111-1-1-1-1-1-1111-1111111-1-111-1-1-11-1-1-111-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-111-111111-1-111-1-111-1-11-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-111-1-111-1-1-1-11-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-11-1-1-111-1-1111-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11111-1-111-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1111-111111-1-1-1-1-111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-11111-1-111-111-1-111-1-11-11
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111111-1-1-1-11111-111-1-111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-11111-1-11-111111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1-1-11
χ17222222-122-122-1-122-1-122-1-122-1-12-1-1-1-1002222-1-1-1-12222-1-1-1-1-1-1-1-122222200000-1-1-1-1-1-1-1-122220000-1-1-1-100220000-1-1-1-1-1-1-1-1200-1-1000000000
χ18222222-122-122-1-122-1-122-1-122-1-12-1-1-1-10022-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-22-200000-1-111-1-11122-2-200001111002-20000-1-111-1-111-20011000000000
χ19222222-122-122-1-122-1-122-1-122-1-12-1-1-1-100-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-220000011-1-111-1-1-2-2220000111100-22000011-1-111-1-1-20011000000000
χ20222222-122-122-1-122-1-122-1-122-1-12-1-1-1-100-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-12222-2-20000011111111-2-2-2-20000-1-1-1-100-2-2000011111111200-1-1000000000
χ21222222-122-122-1-122-1-12-2-1-122-1-12-1-111002222-1-1-1-1-2-2-2-2111111112222-2-200000-1-1-1-1111122220000-1-1-1-100-2-20000-1-1-1-11111-20011000000000
χ22222222-122-122-1-122-1-12-2-1-122-1-12-1-1110022-2-2-1-1-1-1-2-2-2-211111111-2-2-2-2-2200000-1-11111-1-122-2-20000111100-220000-1-11111-1-1200-1-1000000000
χ23222222-122-122-1-122-1-12-2-1-122-1-12-1-11100-2-222-1-1-1-1-2-2-2-211111111-2-2-2-22-20000011-1-1-1-111-2-22200001111002-2000011-1-1-1-111200-1-1000000000
χ24222222-122-122-1-122-1-12-2-1-122-1-12-1-11100-2-2-2-2-1-1-1-1-2-2-2-211111111222222000001111-1-1-1-1-2-2-2-20000-1-1-1-1002200001111-1-1-1-1-20011000000000
χ2522222-122-122-1222-12-1-122-1-1-12-1-12-122220022-1-1-1-12-1-1-122-1-1-1-1-1-1000002222-1-10022002200-1-100220000-1-10-12-1-1-100-1-100-1-10020000-1-1000-10
χ2622222-122-122-1222-12-1-122-1-1-12-1-12-1222200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100000-2222-1-100-2-200-2-2001100-2-20000-1-1012-1-1-10011001100-200001100010
χ2722222-122-122-1222-12-1-122-1-1-12-1-12-122-2-20022-1-1-1-12-1-1-122-1-1-1-1-1-1000002-2-2-2110022002200-1-100-2-20000110-1-211100-1-100-1-100-200001100010
χ2822222-122-122-1222-12-1-122-1-1-12-1-12-122-2-200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100000-2-2-2-21100-2-200-2-20011002200001101-2111001100110020000-1-1000-10
χ2922222-122-122-1222-12-1-1-22-1-1-12-1-12-1-2-2220022-1-1-1-1-2111-2-211111100000-2-222-1-1002200-2-200-1-100220000-1-101-211100-1-1001100-20000-1-100010
χ3022222-122-122-1222-12-1-1-22-1-1-12-1-12-1-2-22200-2-2-1-1-1-1-2111-2-2111111000002-222-1-100-2-20022001100-2-20000-1-10-1-2111001100-1-1002000011000-10
χ3122222-122-122-1222-12-1-1-22-1-1-12-1-12-1-2-2-2-20022-1-1-1-1-2111-2-211111100000-22-2-211002200-2-200-1-100-2-2000011012-1-1-100-1-10011002000011000-10
χ3222222-122-122-1222-12-1-1-22-1-1-12-1-12-1-2-2-2-200-2-2-1-1-1-1-2111-2-21111110000022-2-21100-2-20022001100220000110-12-1-1-1001100-1-100-20000-1-100010
χ332222-122-122-1222-12-12-12-12-1-1-12-1-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-10000202-1-12222002200-1-10022000000-1-1-10-12-1-1-1-100-1-10002000-1-10000-100
χ342222-122-122-1222-12-12-12-12-1-1-12-1-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10000-202-1-122-2-200-2-2001100-2-2000000-1-110-12-1-1110011000-2000110000100
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χ362222-122-122-1222-12-12-12-12-1-1-12-1-1222-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10000-20-211-2-2-2-200-2-20011002200000011101-2111100110002000-1-10000-100
χ372222-122-122-1222-12-12-1-2-12-1-1-12-1-12-2-2222200-1-1-1-11-21111-2-211110000-20-2-1-1222200-2-200-1-10022000000-1-1101-211-1-10011000-2000-1-10000100
χ382222-122-122-1222-12-12-1-2-12-1-1-12-1-12-2-222-2-200-1-1-1-11-21111-2-21111000020-2-1-122-2-20022001100-2-2000000-1-1-101-2111100-1-10002000110000-100
χ392222-122-122-1222-12-12-1-2-12-1-1-12-1-12-2-2-2-22200-1-1-1-11-21111-2-211110000-20211-2-22200-2-200-1-100-2-20000001110-12-1-1-1-100110002000110000-100
χ402222-122-122-1222-12-12-1-2-12-1-1-12-1-12-2-2-2-2-2-200-1-1-1-11-21111-2-21111000020211-2-2-2-200220011002200000011-10-12-1-11100-1-1000-2000-1-10000100
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χ924-4-444-2-2-422-42-224-2-21-202-122-21-22-123−230000-441-11-1000023−23−33−3−33300000000000002-200−2323002-2000000000000000000-11003−300000000000000
χ934-4-444-2-2-422-42-224-2-21-202-122-21-22-1−232300004-41-11-10000−23233−333−3−30000000000000-2200−232300-220000000000000000001-1003−300000000000000
χ944-4-444-2-2-422-42-224-2-21-202-122-21-22-1−23230000-441-11-10000−23233−333−3−300000000000002-20023−23002-2000000000000000000-1100−3300000000000000
χ954-4-44-2442-4-42-44-4-24-24-202-422-24-22-400004-400-22-22000000000000000000000004-4000000-22000000000000000000-2200000000000000000000
χ964-4-44-2442-4-42-44-4-24-24-202-422-24-22-40000-4400-22-2200000000000000000000000-440000002-20000000000000000002-200000000000000000000
χ974-4-44-24-22-422-4-22-241-2-20-12221-2-2-1223−23004-4001-11-10000−3323−23−3−33300000000000-220023−2300-220000000000000000001-100−330000000000000000
χ984-4-44-24-22-422-4-22-241-2-20-12221-2-2-1223−2300-44001-11-10000−3323−23−3−333000000000002-200−2323002-2000000000000000000-11003−30000000000000000
χ994-4-44-24-22-422-4-22-241-2-20-12221-2-2-12−2323004-4001-11-100003−3−232333−3−300000000000-2200−232300-220000000000000000001-1003−30000000000000000
χ1004-4-44-24-22-422-4-22-241-2-20-12221-2-2-12−232300-44001-11-100003−3−232333−3−3000000000002-20023−23002-2000000000000000000-1100−330000000000000000
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
χ10388-8-88-4-48-4-4-8444-84-42-40-42-444-244-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-4-48-44-8444-82-4-402-4-44-244-240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-200000000-1-111006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-200000000-1-11100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4-8448-44-4-84-42-404-24-44-24-42000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-44-84-484-44-82-4-40-244-4-2442-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4844-8-4-4-8844-4-42044-2244-2-4-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4444-4-44-4442220-2-2-22-2-2-22200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4444-4-44-4442220-2-2-22-2-2-22200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-8448-8-4-4-4-42044-2-2-4-4244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-44-4-42220-2-2-2-2222-2-243−43000000-11-110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-44-4-42220-2-2-2-2222-2-2−4343000000-11-11000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000

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