Finite Group Databasebeta

← Group #13168711

Character table — Group #13168711

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121222224412121212366612121212121212121244466666666666612121212121212121212444466121212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-111111111-1-111-1-11-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-11111-1-111-1-11111-1-111111111-1-1-1-1-1-111-11-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-11-1-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-111-1-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-11-1-111111-1-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111111111-1-111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-11-1-111-1-111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1-111-1-11111-1-1-1-1111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-11-1-111-1-11111-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1111-11-1-1-11111-1-1-1-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-111111111-1-111111-1-1-1-1-111-1-11-11-1-1-1111111-1-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11-1-1-1-11111-11-1-111-1-1-1-111-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-111111-1-111-11-1-111-1-11111-11-1-1
χ17222222-122-12-12-1222-1-122-1-1-12-1-1-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-12002222-1-1-1-1-1-1-1-1-1-10022-1-1-1-12200-1-10020-1-100002000-1-1-1-100000000
χ18222222-122-12-12-1222-1-122-1-1-12-1-1-12-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-20022-2-2-1-111-1-1-1-1110022-1-1-1-1-2-2001100-20110000-2000111100000000
χ19222222-122-12-12-1222-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-222-2-21111-1-1-1-1222-1-1-1-1-1-1200-2-22211-1-11111-1-100-2-21111-2-200-1-10020-1-10000-2000111100000000
χ20222222-122-12-12-1222-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-200-2-2-2-2111111111100-2-2111122001100-201100002000-1-1-1-100000000
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χ22222222-122-12-12-1222-1-1-22-1-1-12-1-1-1211-2-2111122-2-2-2-21111-1-1-1-1-2-2-211111120022-2-2-1-111-1-1-1-1-1-100-2-21111-2-200110020-1-10000200011-1-100000000
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χ24222222-122-12-12-1222-1-1-22-1-1-12-1-1-1211-2-21111-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2111111200-2-2-2-211111111-1-10022-1-1-1-12200110020-1-10000-2000-1-11100000000
χ2522222-122-1222-12-12-12-12-122-1-1-1-12-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-10022000022-1-10000000022-1-122-1-1-1-1-1-1-1-100020000-1-100-1000
χ2622222-122-1222-12-12-12-12-122-1-1-1-12-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-200-1-100220000221100000000-2-2-1-1-2-2-11-1-11111000-2000011001000
χ2722222-122-1222-12-12-12-12-122-1-1-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-222001100-2-20000-2-2-1-100000000-2-211221-111-1-1-1-1000-2000011001000
χ2822222-122-1222-12-12-12-12-122-1-1-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2001100-2-20000-2-211000000002211-2-21111111100020000-1-100-1000
χ2922222-122-1222-12-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-200-1-100220000-2-2-1-10000000022-1-12-21111-1-111000-20000-1-1001000
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χ352222-122-122-12222-1-1-122-1-1-12-122-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-10221100-2-20011110022111111000000-1-10200-1-1-1-10-2-20000000000110
χ362222-122-122-12222-1-1-122-1-1-12-122-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-21100-2-200111100-2-2111111000000110-20011110220000000000-1-10
χ372222-122-122-12222-1-1-12-2-1-1-12-122-1-1-2-21111112200-2-2-2-2-2-2-1-1-1-1-211-2-2111102-2-1-1002200-1-1-1-10022111111000000-110-200-1-11102-20000000000-110
χ382222-122-122-12222-1-1-12-2-1-1-12-122-1-1-2-21111112200-2-2-2-2-2-2-1-1-1-1-211-2-211110-22-1-1002200-1-1-1-100-2-21111110000001-1020011-1-10-2200000000001-10
χ392222-122-122-12222-1-1-12-2-1-1-12-122-1-1-2-2111111-2-200222222-1-1-1-1-211-2-2111102-21100-2-20011110022-1-1-1-1-1-1000000-110-200-1-1110-2200000000001-10
χ402222-122-122-12222-1-1-12-2-1-1-12-122-1-1-2-2111111-2-200222222-1-1-1-1-211-2-211110-221100-2-200111100-2-2-1-1-1-1-1-10000001-1020011-1-102-20000000000-110
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χ1014-4-44-24-22-42224-2-4-2-21-202-1-12-2-2212002i3−2i3−i3i3i3−i30000002i3−2i3−2i32i31-1-1102i3−2i300−i3i3i3−i300000000000-333-3000000−i3i3i3−i300000000000000000000000000000000
χ1024-4-44-2-2422-42-4-242-21-2-20-12221-22-2-100−2i32i3−2i32i32i3−2i300000000001-1-110i3−i300i3−i3−i3i30000000000000000023−23000000000000000000−333i−3i0000000000000000
χ1034-4-44-2-2422-42-4-242-21-2-20-12221-22-2-100−2i32i3−2i32i32i3−2i300000000001-1-110i3−i300i3−i3−i3i300000000000000000−23230000000000000000003−3−3i3i0000000000000000
χ1044-4-44-2-2422-42-4-242-21-2-20-12221-22-2-1002i3−2i32i3−2i3−2i32i300000000001-1-110−i3i300−i3i3i3−i30000000000000000023−23000000000000000000−33−3i3i0000000000000000
χ1054-4-44-2-2422-42-4-242-21-2-20-12221-22-2-1002i3−2i32i3−2i3−2i32i300000000001-1-110−i3i300−i3i3i3−i300000000000000000−23230000000000000000003−33i−3i0000000000000000
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χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
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χ11088-8-8-4-4-4-4-444-44444222022-22-2-2-2-2-2−4343002323−23−230000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-4-84-48444-4-8-4-42044-4-24-224-40000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
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χ1138-88-8-4-4-444-4-4444-442220-2-22-2-2-22-2200006i−6i6i−6i0000000000-11-1100000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-444-4-4444-442220-2-22-2-2-22-220000−6i6i−6i6i0000000000-11-11000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1158-8-888-4-4-844-84-4-448-4-420444-2-42-2-440000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-444444-4-44-42220-2-2-2-222-22-200−4i34i32i3−2i3−2i32i30000000000-111-102i3−2i300−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-444444-4-44-42220-2-2-2-222-22-2004i3−4i3−2i32i32i3−2i30000000000-111-10−2i32i300i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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