Finite Group Databasebeta

← Group #13176503

Character table — Group #13176503

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
χ511111111111111111111111111111-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-11
χ611111111111111111111111111111-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1111-1
χ711111111111111111111111111111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-111-1-11-111-1
χ811111111111111111111111111111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-111-11-1-11
χ91111111111111111111111111111-11-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11-1-11111-11-11-1
χ101111111111111111111111111111-11-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-111-1-1-1-11-11-11
χ111111111111111111111111111111-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-111-11
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χ624444-24-2-2-24-2-2-2-24-2-2-24-2-2-2-2-2-21114-4-4-2111-2111-21112244-2-2-2-2-2-200-4222-4222-2222-1-1-1-1-1-1-2-211111122-1-1-1-1-1-10000000000000000000000000000000000000000000
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χ654444-2-24-2-2-24-2-2-2-24-2-2-24-2-2-2-21-2114441-2111-2111-211-2-2-2-244-2-2-2-200-24-2-2-24-2-2-2-211-2-2111111-2-2111111-2-211110000000000000000000000000000000000000000000
χ664444-2-24-2-2-24-2-2-2-24-2-2-24-2-2-2-21-2114-4-41-2111-2111-21122-2-244-2-2-2-2002-4222-422-22-1-122-1-1-1-111-2-21111-1-122-1-1-1-10000000000000000000000000000000000000000000
χ674444-2-24-2-2-24-2-2-2-24-2-2-24-2-2-2-21-211-44-41-2111-2111-2112222-4-42222002-422-24-2-22-2-1-122-1-1-1-1-1-122-1-1-1-111-2-211110000000000000000000000000000000000000000000
χ684444-2-24-2-2-24-2-2-2-24-2-2-24-2-2-2-21-211-4-441-2111-2111-211-2-222-4-4222200-24-2-22-4222211-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000
χ694444-2-2-24-2-2-24-2-2-2-24-2-2-24-2-2-211-2144411-2111-2111-21-2-2-2-2-2-244-2-200-2-24-2-2-24-2-2-21111-2-2111111-2-2111111-2-2110000000000000000000000000000000000000000000
χ704444-2-2-24-2-2-24-2-2-2-24-2-2-24-2-2-211-214-4-411-2111-2111-2122-2-2-2-244-2-20022-4222-42-22-1-1-1-122-1-11111-2-211-1-1-1-122-1-10000000000000000000000000000000000000000000
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χ724444-2-2-24-2-2-24-2-2-2-24-2-2-24-2-2-211-21-4-4411-2111-2111-21-2-22222-4-42200-2-24-222-42221111-2-211-1-1-1-122-1-1-1-1-1-122-1-10000000000000000000000000000000000000000000
χ734444-2-2-2-24-2-2-24-2-2-2-24-2-2-24-2-2111-2444111-2111-2111-2-2-2-2-2-2-2-2-24400-2-2-24-2-2-24-2-2111111-2-2111111-2-2111111-2-20000000000000000000000000000000000000000000
χ744444-2-2-2-24-2-2-24-2-2-2-24-2-2-24-2-2111-24-4-4111-2111-2111-222-2-2-2-2-2-24400222-4222-4-22-1-1-1-1-1-122111111-2-2-1-1-1-1-1-1220000000000000000000000000000000000000000000
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χ764444-2-2-2-24-2-2-24-2-2-2-24-2-2-24-2-2111-2-4-44111-2111-2111-2-2-2222222-4-400-2-2-24222-422111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1220000000000000000000000000000000000000000000
χ7744-4-444-2-2-2-4222-4-42224-2-2-24-44-2-2-2000-4222-42224-2-2-200000000004-40000000000000000000000000000000000000000000004-4-22-22-22000000000000000000000000
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χ8644-4-4-24444-4-4-4-42-4-4-4-44444-22-2-2-2-200022222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000−4i4i00000000000002i−2i0000000
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χ924-44-44-2-24-2-2-24-2-422-4222-42-44-2-24-2000-2-24-222-4222-420000000000000000000000000000000000000000000000000−2i32i32i3−2i300−2i32i300000000000000000000000000000000
χ934-44-44-2-24-2-2-24-2-422-4222-42-44-2-24-2000-2-24-222-4222-4200000000000000000000000000000000000000000000000002i3−2i3−2i32i3002i3−2i300000000000000000000000000000000
χ944-44-44-2-2-24-2-2-24-4222-4222-4-44-2-2-24000-2-2-24222-4222-40000000000000000000000000000000000000000000000000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000
χ954-44-44-2-2-24-2-2-24-4222-4222-4-44-2-2-24000-2-2-24222-4222-400000000000000000000000000000000000000000000000002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000
χ964-44-4-2444444442-4-4-4-4-4-4-4-42-2-2-2-2-2000-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000000000000000023−23000000000
χ974-44-4-2444444442-4-4-4-4-4-4-4-42-2-2-2-2-2000-2-2-2-222222222000000000000000000000000000000000000000000000000000000000000000000000000000000−2323000000000
χ984-4-4444444-4-4-4-444444-4-4-4-4-4-44444000-4-4-4-44444-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-4444-2-2-2-422244-2-2-2-4222-4-44-2-2-2000-42224-2-2-2-4222000023−2323−2323−23000000000000000000000023−2323−2323−23000000000000000000000000000000000000000000000000000
χ1004-4-4444-2-2-2-422244-2-2-2-4222-4-44-2-2-2000-42224-2-2-2-42220000−2323−2323−23230000000000000000000000−2323−2323−2323000000000000000000000000000000000000000000000000000
χ1014-4-444-24-2-22-4224-24-2-22-422-4-4-24-2-20002-422-24-2-22-4220023−230023−23−23230000000000000000000023−230023−23−2323000000000000000000000000000000000000000000000000000
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χ1034-4-444-2-24-222-424-2-24-222-42-4-4-2-24-200022-42-2-24-222-420023−23−23230023−230000000000000000000023−23−23230023−23000000000000000000000000000000000000000000000000000
χ1044-4-444-2-24-222-424-2-24-222-42-4-4-2-24-200022-42-2-24-222-4200−232323−2300−232300000000000000000000−232323−2300−2323000000000000000000000000000000000000000000000000000
χ1054-4-444-2-2-24222-44-2-2-24222-4-4-4-2-2-24000222-4-2-2-24222-40023−2323−23−2323000000000000000000000023−2323−23−232300000000000000000000000000000000000000000000000000000
χ1064-4-444-2-2-24222-44-2-2-24222-4-4-4-2-2-24000222-4-2-2-24222-400−2323−232323−230000000000000000000000−2323−232323−2300000000000000000000000000000000000000000000000000000
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χ1084-4-44-24444-4-4-4-4-24444-4-4-4-422-2-2-2-20002222-2-2-2-222222i3−2i3000000000000000000002i3−2i32i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000000
χ1094-4-44-24-2-2-2-4222-24-2-2-2-422222-21110002-1-1-1-21112-1-1-1−2i32i30023−2323−2323−23000000000000−2i32i3i3−i3i3−i3i3−i300−33−33−33003i−3i3i−3i3i−3i0000000000000000000000000000000000000000000
χ1104-4-44-24-2-2-2-4222-24-2-2-2-422222-21110002-1-1-1-21112-1-1-1−2i32i300−2323−2323−2323000000000000−2i32i3i3−i3i3−i3i3−i3003−33−33−300−3i3i−3i3i−3i3i0000000000000000000000000000000000000000000
χ1114-4-44-24-2-2-2-4222-24-2-2-2-422222-21110002-1-1-1-21112-1-1-12i3−2i30023−2323−2323−230000000000002i3−2i3−i3i3−i3i3−i3i300−33−33−3300−3i3i−3i3i−3i3i0000000000000000000000000000000000000000000
χ1124-4-44-24-2-2-2-4222-24-2-2-2-422222-21110002-1-1-1-21112-1-1-12i3−2i300−2323−2323−23230000000000002i3−2i3−i3i3−i3i3−i3i3003−33−33−3003i−3i3i−3i3i−3i0000000000000000000000000000000000000000000
χ1134-4-44-2-24-2-22-422-2-24-2-22-422221-211000-12-1-11-211-12-1-1−2i32i323−230023−23−2323000000000000i3−i3−2i32i3i3−i3i3−i3−3300−333−33i−3i003i−3i−3i3i0000000000000000000000000000000000000000000
χ1144-4-44-2-24-2-22-422-2-24-2-22-422221-211000-12-1-11-211-12-1-1−2i32i3−232300−232323−23000000000000i3−i3−2i32i3i3−i3i3−i33−3003−3−33−3i3i00−3i3i3i−3i0000000000000000000000000000000000000000000
χ1154-4-44-2-24-2-22-422-2-24-2-22-422221-211000-12-1-11-211-12-1-12i3−2i323−230023−23−2323000000000000−i3i32i3−2i3−i3i3−i3i3−3300−333−3−3i3i00−3i3i3i−3i0000000000000000000000000000000000000000000
χ1164-4-44-2-24-2-22-422-2-24-2-22-422221-211000-12-1-11-211-12-1-12i3−2i3−232300−232323−23000000000000−i3i32i3−2i3−i3i3−i3i33−3003−3−333i−3i003i−3i−3i3i0000000000000000000000000000000000000000000
χ1174-4-44-2-2-24-222-42-2-2-24-222-422211-21000-1-12-111-21-1-12-1−2i32i323−23−23230023−23000000000000i3−i3i3−i3−2i32i3i3−i3−333−300−333i−3i−3i3i003i−3i0000000000000000000000000000000000000000000
χ1184-4-44-2-2-24-222-42-2-2-24-222-422211-21000-1-12-111-21-1-12-1−2i32i3−232323−2300−2323000000000000i3−i3i3−i3−2i32i3i3−i33−3−33003−3−3i3i3i−3i00−3i3i0000000000000000000000000000000000000000000
χ1194-4-44-2-2-24-222-42-2-2-24-222-422211-21000-1-12-111-21-1-12-12i3−2i323−23−23230023−23000000000000−i3i3−i3i32i3−2i3−i3i3−333−300−33−3i3i3i−3i00−3i3i0000000000000000000000000000000000000000000
χ1204-4-44-2-2-24-222-42-2-2-24-222-422211-21000-1-12-111-21-1-12-12i3−2i3−232323−2300−2323000000000000−i3i3−i3i32i3−2i3−i3i33−3−33003−33i−3i−3i3i003i−3i0000000000000000000000000000000000000000000
χ1214-4-44-2-2-2-24222-4-2-2-2-24222-422111-2000-1-1-12111-2-1-1-12−2i32i323−2323−23−232300000000000000i3−i3i3−i3i3−i3−2i32i3−33−333−3003i−3i3i−3i−3i3i000000000000000000000000000000000000000000000
χ1224-4-44-2-2-2-24222-4-2-2-2-24222-422111-2000-1-1-12111-2-1-1-12−2i32i3−2323−232323−2300000000000000i3−i3i3−i3i3−i3−2i32i33−33−3−3300−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000
χ1234-4-44-2-2-2-24222-4-2-2-2-24222-422111-2000-1-1-12111-2-1-1-122i3−2i323−2323−23−232300000000000000−i3i3−i3i3−i3i32i3−2i3−33−333−300−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000
χ1244-4-44-2-2-2-24222-4-2-2-2-24222-422111-2000-1-1-12111-2-1-1-122i3−2i3−2323−232323−2300000000000000−i3i3−i3i3−i3i32i3−2i33−33−3−33003i−3i3i−3i−3i3i000000000000000000000000000000000000000000000
χ12588-8-8-48-4-4-4-84444-84448-4-4-4-44-42220004-2-2-24-2-2-2-422200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-8-4-48-4-44-84444-844-48-4-4-442-422000-24-2-2-24-2-22-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-8-4-4-48-444-84444-84-4-48-4-4422-42000-2-24-2-2-24-222-4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-4-4-4-48444-84444-8-4-4-48-44222-4000-2-2-24-2-2-24222-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-8-48-4-4-48-4-4-44-8444-84444-4-4222000-42224-2-2-24-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8-4-48-4-4-48-4-444-8444-8444-42-4220002-422-24-2-2-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4-4-48-4-4-48-4444-8444-844-422-4200022-42-2-24-2-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-4-4-4-48-4-4-484444-8444-84-4222-4000222-4-2-2-24-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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