Finite Group Databasebeta

← Group #13176603

Character table — Group #13176603

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222224444444444444444444444444444466888888888888888888888888888888888812121212121212121212121212121212121212181824242424242424243636363636363654547272108108108
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111111111111111-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-11-111-1-111-11-11-1
χ611111111111111111111111111111-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11-11-11
χ711111111111111111111111111111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-1-1-1-111-11
χ811111111111111111111111111111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111111-1-11-1
χ91111111111111111111111111111-11-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111111-1-11-1-1
χ101111111111111111111111111111-11-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-111-111
χ111111111111111111111111111111-11-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-111
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χ1922222222-122222222-12222-1-1-1-1-1-12-2-2-1-1-1-1-1-1-1-1-1-1-1-1112222222200-2-2-2-2-2-2-2-21-1-1-1-1-1-1-1-1-1111111111111111100000000000000000002200000000-22-2-1-111001-1000
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χ2422222222-122222222-12222-1-1-1-1-1-1-2-22-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-200-2-2-2-22222-111111111111111111-1-1-1-1-1-1-1-10000000000000000000-2-200000000-22211-1-1001-1000
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χ2822222-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-12-2-22-1-1-12-1-1-12-1-1-1-2-222-1-1-1-1-1-1-2-2-2111-2111-2222-1-1-1-1-1-1-2-2111111-2-2111111-222-2-2111111-2-2111111002-1-1-12-1-1-100000000000000
χ2922222-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-1-22-22-1-1-12-1-1-12-1-1-122-2-2111111222-1-1-1-2111-2-2-2-211111122-1-1-1-1-1-1-2-2111111-22-2-2-211111122-1-1-1-1-1-1002-1-1-1-211100000000000000
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χ332222-12-1-12-12-1-1-12-1-12-12-1-122-12-1-1222-12-1-1-12-1-1-12-1-122-1-122-1-1-1-122-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-100-12-1-1-12-1-100000000000000
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χ352222-12-1-12-12-1-1-12-1-12-12-1-122-12-1-12-2-2-12-1-1-12-1-1-12-1-1-2-2-1-122-1-1-1-1221-2111-211-22-1-122-1-1-1-111-2-2111111-2-211112-2-2-1-122-1-1-1-1-1-122-1-1-1-1001-2111-21100000000000000
χ362222-12-1-12-12-1-1-12-1-12-12-1-122-12-1-12-2-2-12-1-1-12-1-1-12-1-1-2-2-1-122-1-1-1-1-2-21-2111-211-22-1-122-1-1-1-111-2-2111111-2-21111-22211-2-2111111-2-2111100-12-1-1-12-1-100000000000000
χ372222-12-1-12-12-1-1-12-1-12-12-1-122-12-1-1-22-2-12-1-1-12-1-1-12-1-12211-2-2111122-12-1-11-211-2-211-2-21111-1-122-1-1-1-111-2-21111-22-211-2-21111-1-122-1-1-1-100-12-1-11-21100000000000000
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χ412222-1-12-12-1-12-1-1-12-12-1-12-122-1-12-1222-1-12-1-1-12-1-1-12-122-1-1-1-122-1-122-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-100-1-12-1-1-12-100000000000000
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χ704444-2-24-2-2-2-24-2-2-24-2-2-2-24-2-2-211-214-4-411-2111-2111-2122-2-2-2-244-2-20022-4222-422-21111-2-211-1-1-1-122-1-1-1-1-1-122-1-10000000000000000000000000000000000000000000
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χ8244-4-4-24-2-24-24-2-22-422-42-422-44-24-2-2000-24-2-22-4222-4220000000000−4i4i0000000000000000000000000000000000000000000002i−2i−4i4i2i−2i2i−2i000000000000000000000000
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χ914-44-44-2-2-24-4222-4222-44-2-2-24-44-2-2-2000-42224-2-2-2-422200002i3−2i32i3−2i32i3−2i3000000000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000000
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χ934-44-44-2-2-2-2-4222-422224-2-2-2-22-21110002-1-1-1-21112-1-1-123−23002i3−2i32i3−2i32i3−2i300000000000000−i3i3−i3i3−i3i323−23−33−33−3300−3i3i−3i3i−3i3i0000000000000000000000000000000000000000000
χ944-44-44-2-2-2-2-4222-422224-2-2-2-22-21110002-1-1-1-21112-1-1-1−232300−2i32i3−2i32i3−2i32i300000000000000i3−i3i3−i3i3−i3−23233−33−33−300−3i3i−3i3i−3i3i0000000000000000000000000000000000000000000
χ954-44-44-2-2-2-2-4222-422224-2-2-2-22-21110002-1-1-1-21112-1-1-1−2323002i3−2i32i3−2i32i3−2i300000000000000−i3i3−i3i3−i3i3−23233−33−33−3003i−3i3i−3i3i−3i0000000000000000000000000000000000000000000
χ964-44-4-24-2-242-4222-422-4-24-2-24-4-24-2-20002-422-24-2-22-42200−2i32i300−2i32i32i3−2i3000000000000−2i32i300−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000
χ974-44-4-24-2-242-4222-422-4-24-2-24-4-24-2-20002-422-24-2-22-422002i3−2i3002i3−2i3−2i32i30000000000002i3−2i3002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000
χ984-44-4-24-2-2-22-4222-4222-24-2-2-221-211000-12-1-11-211-12-1-123−23−2i32i300−2i32i32i3−2i3000000000000i3−i300i3−i3−i3i3−3323−23−33−333i−3i003i−3i−3i3i0000000000000000000000000000000000000000000
χ994-44-4-24-2-2-22-4222-4222-24-2-2-221-211000-12-1-11-211-12-1-123−232i3−2i3002i3−2i3−2i32i3000000000000−i3i300−i3i3i3−i3−3323−23−33−33−3i3i00−3i3i3i−3i0000000000000000000000000000000000000000000
χ1004-44-4-24-2-2-22-4222-4222-24-2-2-221-211000-12-1-11-211-12-1-1−2323−2i32i300−2i32i32i3−2i3000000000000i3−i300i3−i3−i3i33−3−23233−33−3−3i3i00−3i3i3i−3i0000000000000000000000000000000000000000000
χ1014-44-4-24-2-2-22-4222-4222-24-2-2-221-211000-12-1-11-211-12-1-1−23232i3−2i3002i3−2i3−2i32i3000000000000−i3i300−i3i3i3−i33−3−23233−33−33i−3i003i−3i−3i3i0000000000000000000000000000000000000000000
χ1024-44-4-2-24-2422-4222-42-4-2-24-24-4-2-24-200022-42-2-24-222-4200−2i32i32i3−2i300−2i32i3000000000000−2i32i32i3−2i300−2i32i300000000000000000000000000000000000000000000000000000000000
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χ1044-44-4-2-24-2-222-4222-422-2-24-2-2211-21000-1-12-111-21-1-12-123−23−2i32i32i3−2i300−2i32i3000000000000i3−i3−i3i300i3−i3−33−3323−23−333i−3i−3i3i003i−3i0000000000000000000000000000000000000000000
χ1054-44-4-2-24-2-222-4222-422-2-24-2-2211-21000-1-12-111-21-1-12-123−232i3−2i3−2i32i3002i3−2i3000000000000−i3i3i3−i300−i3i3−33−3323−23−33−3i3i3i−3i00−3i3i0000000000000000000000000000000000000000000
χ1064-44-4-2-24-2-222-4222-422-2-24-2-2211-21000-1-12-111-21-1-12-1−2323−2i32i32i3−2i300−2i32i3000000000000i3−i3−i3i300i3−i33−33−3−23233−3−3i3i3i−3i00−3i3i0000000000000000000000000000000000000000000
χ1074-44-4-2-24-2-222-4222-422-2-24-2-2211-21000-1-12-111-21-1-12-1−23232i3−2i3−2i32i3002i3−2i3000000000000−i3i3i3−i300−i3i33−33−3−23233−33i−3i−3i3i003i−3i0000000000000000000000000000000000000000000
χ1084-44-4-2-2-244222-4222-4-4-2-2-244-4-2-2-24000222-4-2-2-24222-400−2i32i3−2i32i32i3−2i300000000000000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000
χ1094-44-4-2-2-244222-4222-4-4-2-2-244-4-2-2-24000222-4-2-2-24222-4002i3−2i32i3−2i3−2i32i3000000000000002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000
χ1104-44-4-2-2-24-2222-4222-42-2-2-24-22111-2000-1-1-12111-2-1-1-1223−23−2i32i3−2i32i32i3−2i300000000000000i3−i3i3−i3−i3i300−33−33−3323−233i−3i3i−3i−3i3i000000000000000000000000000000000000000000000
χ1114-44-4-2-2-24-2222-4222-42-2-2-24-22111-2000-1-1-12111-2-1-1-1223−232i3−2i32i3−2i3−2i32i300000000000000−i3i3−i3i3i3−i300−33−33−3323−23−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000
χ1124-44-4-2-2-24-2222-4222-42-2-2-24-22111-2000-1-1-12111-2-1-1-12−2323−2i32i3−2i32i32i3−2i300000000000000i3−i3i3−i3−i3i3003−33−33−3−2323−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000
χ1134-44-4-2-2-24-2222-4222-42-2-2-24-22111-2000-1-1-12111-2-1-1-12−23232i3−2i32i3−2i3−2i32i300000000000000−i3i3−i3i3i3−i3003−33−33−3−23233i−3i3i−3i−3i3i000000000000000000000000000000000000000000000
χ1144-4-4444444-4-4-4-444444-4-4-4-4-4-44444000-4-4-4-4-4-4-4-4444400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-444444-2-4-4-4-44444-2-4-4-4-422-2-2-2-200022222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000023−230000000
χ1164-4-444444-2-4-4-4-44444-2-4-4-4-422-2-2-2-200022222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000−23230000000
χ1174-4-444-2-2-24-42224-2-2-24-4222-4-44-2-2-2000-4222-42224-2-2-2000000000000000000000000000000000000000000000000000−2i32i3−2i32i3−2i32i300000000000000000000000000000000
χ1184-4-444-2-2-24-42224-2-2-24-4222-4-44-2-2-2000-4222-42224-2-2-20000000000000000000000000000000000000000000000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000
χ1194-4-44-24-2-242-422-24-2-242-422-4-4-24-2-20002-4222-422-24-2-20000000000000000000000000000000000000000000000000−2i32i300−2i32i32i3−2i300000000000000000000000000000000
χ1204-4-44-24-2-242-422-24-2-242-422-4-4-24-2-20002-4222-422-24-2-200000000000000000000000000000000000000000000000002i3−2i3002i3−2i3−2i32i300000000000000000000000000000000
χ1214-4-44-2-24-2422-42-2-24-2422-42-4-4-2-24-200022-4222-42-2-24-20000000000000000000000000000000000000000000000000−2i32i32i3−2i300−2i32i300000000000000000000000000000000
χ1224-4-44-2-24-2422-42-2-24-2422-42-4-4-2-24-200022-4222-42-2-24-200000000000000000000000000000000000000000000000002i3−2i3−2i32i3002i3−2i300000000000000000000000000000000
χ1234-4-44-2-2-244222-4-2-2-244222-4-4-4-2-2-24000222-4222-4-2-2-240000000000000000000000000000000000000000000000000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000
χ1244-4-44-2-2-244222-4-2-2-244222-4-4-4-2-2-24000222-4222-4-2-2-2400000000000000000000000000000000000000000000000002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000
χ12588-8-88-4-4-4-48-4-4-4-84444-84444-4-4222000-42224-2-2-24-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-8-48-4-4-4-48-4-44-84444-8444-42-4220002-422-24-2-2-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-8-4-48-4-4-4-48-444-84444-844-422-4200022-42-2-24-2-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-4-4-48-4-4-4-48444-84444-84-4222-4000222-4-2-2-24-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-888-4-4-4-4-84448-4-4-4-4-844444-42220004-2-2-24-2-2-2-422200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-88-48-4-4-44-844-48-4-4-44-844442-422000-24-2-2-24-2-22-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88-4-48-4-444-84-4-48-4-444-844422-42000-2-24-2-2-24-222-4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-48-4444-8-4-4-48-4444-844222-4000-2-2-24-2-2-24222-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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