Finite Group Databasebeta

← Group #13175858

Character table — Group #13175858

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size1111222222222222222222224444444444444444444444444444466668888888888888888888888888888888888121212121212121212121212121212121212181818182424242424242424363636363636545454547272108108
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-11
χ611111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ711111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-111-1-11-1
χ811111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-11
χ9111111111111111111111111-111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111-1-11
χ10111111111111111111111111-111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-1-111-1
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χ14111111111111111111111111-11111-11-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-11111111-1-1-1
χ15111111111111111111111111-11111-11-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1111-1-11111-11-1-1
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χ562222-12222-1222222222222-1-1-2-1-1-1-1-2211-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-21111111122221-111111111-1-1-1-1-1-1-1-1000000000000000000-2-222000000002-211-1-10000-1100
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χ704444-2-24-2-2-2-24-2-2-24-2-2-24-2-2-2-241-211-4-4-2-21-21111-2-2111122-4-422220000-24-2-211-2-211112-42222-1-122-1-1-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000
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χ754444-2-2-24-2-2-2-24-2-2-24-2-2-24-2-2-2-411-214-42211-211111-2-211-2-2-2-244-2-2000022-42-1-1-1-122-1-122-42-221111-2-211-1-1-1-122-1-100000000000000000000000000000000000000000000
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χ784444-2-2-2-24-2-2-2-24-2-2-24-2-2-24-2-24111-2-4-4-2-2111-2111111-2-2222222-4-40000-2-2-24111111-2-2222-422-1-1-1-1-1-122-1-1-1-1-1-12200000000000000000000000000000000000000000000
χ794444-2-2-2-24-2-2-2-24-2-2-24-2-2-24-2-2-4111-24-422111-2111111-2-2-2-2-2-2-2-2440000222-4-1-1-1-1-1-122222-4-22111111-2-2-1-1-1-1-1-12200000000000000000000000000000000000000000000
χ804444-2-2-2-24-2-2-2-24-2-2-24-2-2-24-2-2-4111-2-4422111-2111111-2-2222222-4-40000222-4-1-1-1-1-1-122-2-2-242-2-1-1-1-1-1-122111111-2-200000000000000000000000000000000000000000000
χ8144-4-4444444-4-4-4-44444-4-4-4-4-4-40444400004444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-444-2-2-24-42224-2-2-2-4222-4-404-2-2-200004-2-2-2-4-42222220023−2323−2323−2300000000000000000000000023−2323−2323−230000000000000000000000000000000000000000000000000000
χ8344-4-444-2-2-24-42224-2-2-2-4222-4-404-2-2-200004-2-2-2-4-422222200−2323−2323−2323000000000000000000000000−2323−2323−23230000000000000000000000000000000000000000000000000000
χ8444-4-44-24-2-242-422-24-2-22-422-4-40-24-2-20000-24-2-222-4-4222223−230023−23−2323000000000000000000000023−230023−23−23230000000000000000000000000000000000000000000000000000
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χ9244-4-4-24-2-2-2-2-42224-2-2-2-4222220-211100−2i32i3-211122-1-1-1-1-1-10023−2323−2323−2300000000−2i32i3i3−i3i3−i3i3−i300000000−33−33−33003i−3i3i−3i3i−3i00000000000000000000000000000000000000000000
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χ9444-4-4-24-2-2-2-2-42224-2-2-2-4222220-2111002i3−2i3-211122-1-1-1-1-1-10023−2323−2323−23000000002i3−2i3−i3i3−i3i3−i3i300000000−33−33−3300−3i3i−3i3i−3i3i00000000000000000000000000000000000000000000
χ9544-4-4-24-2-2-2-2-42224-2-2-2-4222220-2111002i3−2i3-211122-1-1-1-1-1-100−2323−2323−2323000000002i3−2i3−i3i3−i3i3−i3i3000000003−33−33−3003i−3i3i−3i3i−3i00000000000000000000000000000000000000000000
χ9644-4-4-2-24-2-2-22-422-24-2-22-4222201-21100−2i32i31-211-1-122-1-1-1-123−230023−23−232300000000i3−i3−2i32i3i3−i3i3−i3000000−3300−333−33i−3i003i−3i−3i3i00000000000000000000000000000000000000000000
χ9744-4-4-2-24-2-2-22-422-24-2-22-4222201-21100−2i32i31-211-1-122-1-1-1-1−232300−232323−2300000000i3−i3−2i32i3i3−i3i3−i30000003−3003−3−33−3i3i00−3i3i3i−3i00000000000000000000000000000000000000000000
χ9844-4-4-2-24-2-2-22-422-24-2-22-4222201-211002i3−2i31-211-1-122-1-1-1-123−230023−23−232300000000−i3i32i3−2i3−i3i3−i3i3000000−3300−333−3−3i3i00−3i3i3i−3i00000000000000000000000000000000000000000000
χ9944-4-4-2-24-2-2-22-422-24-2-22-4222201-211002i3−2i31-211-1-122-1-1-1-1−232300−232323−2300000000−i3i32i3−2i3−i3i3−i3i30000003−3003−3−333i−3i003i−3i−3i3i00000000000000000000000000000000000000000000
χ10044-4-4-2-2-24-2-222-42-2-24-222-4222011-2100−2i32i311-21-1-1-1-122-1-123−23−23230023−2300000000i3−i3i3−i3−2i32i3i3−i3000000−333−300−333i−3i−3i3i003i−3i00000000000000000000000000000000000000000000
χ10144-4-4-2-2-24-2-222-42-2-24-222-4222011-2100−2i32i311-21-1-1-1-122-1-1−232323−2300−232300000000i3−i3i3−i3−2i32i3i3−i30000003−3−33003−3−3i3i3i−3i00−3i3i00000000000000000000000000000000000000000000
χ10244-4-4-2-2-24-2-222-42-2-24-222-4222011-21002i3−2i311-21-1-1-1-122-1-123−23−23230023−2300000000−i3i3−i3i32i3−2i3−i3i3000000−333−300−33−3i3i3i−3i00−3i3i00000000000000000000000000000000000000000000
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χ10444-4-4-2-2-2-24-2222-4-2-2-24222-4220111-200−2i32i3111-2-1-1-1-1-1-12223−2323−23−23230000000000i3−i3i3−i3i3−i3−2i32i3000000−33−333−3003i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ10544-4-4-2-2-2-24-2222-4-2-2-24222-4220111-200−2i32i3111-2-1-1-1-1-1-122−2323−232323−230000000000i3−i3i3−i3i3−i3−2i32i30000003−33−3−3300−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ10644-4-4-2-2-2-24-2222-4-2-2-24222-4220111-2002i3−2i3111-2-1-1-1-1-1-12223−2323−23−23230000000000−i3i3−i3i3−i3i32i3−2i3000000−33−333−300−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ10744-4-4-2-2-2-24-2222-4-2-2-24222-4220111-2002i3−2i3111-2-1-1-1-1-1-122−2323−232323−230000000000−i3i3−i3i3−i3i32i3−2i30000003−33−3−33003i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1084-44-444-2-2-2-44-2-2-2-4222-42224-404-2-2-20000-42224-4-22-22-22000000004i−4i000000000000000000000000000000000000004i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ1094-44-444-2-2-2-44-2-2-2-4222-42224-404-2-2-20000-42224-4-22-22-2200000000−4i4i00000000000000000000000000000000000000−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ1104-44-44-24-2-2-4-24-2-22-4222-4224-40-24-2-200002-422-224-4-22-22000000004i−4i00000000000000000000000000000000000000−2i2i4i−4i−2i2i−2i2i0000000000000000000000000000000000
χ1114-44-44-24-2-2-4-24-2-22-4222-4224-40-24-2-200002-422-224-4-22-2200000000−4i4i000000000000000000000000000000000000002i−2i−4i4i2i−2i2i−2i0000000000000000000000000000000000
χ1124-44-44-2-24-2-4-2-24-222-4222-424-40-2-24-2000022-42-22-224-4-22000000004i−4i00000000000000000000000000000000000000−2i2i−2i2i4i−4i−2i2i0000000000000000000000000000000000
χ1134-44-44-2-24-2-4-2-24-222-4222-424-40-2-24-2000022-42-22-224-4-2200000000−4i4i000000000000000000000000000000000000002i−2i2i−2i−4i4i2i−2i0000000000000000000000000000000000
χ1144-44-44-2-2-24-4-2-2-24222-4222-44-40-2-2-240000222-4-22-22-224-4000000004i−4i00000000000000000000000000000000000000−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000000000
χ1154-44-44-2-2-24-4-2-2-24222-4222-44-40-2-2-240000222-4-22-22-224-400000000−4i4i000000000000000000000000000000000000002i−2i2i−2i2i−2i−4i4i0000000000000000000000000000000000
χ1164-44-4-2444424444-4-4-4-4-4-4-4-4-220-2-2-2-200002222-22-22-22-220000000000000000000000000000000000000000000000000000000000000000004i−4i000000000000−2i2i00000000
χ1174-44-4-2444424444-4-4-4-4-4-4-4-4-220-2-2-2-200002222-22-22-22-22000000000000000000000000000000000000000000000000000000000000000000−4i4i0000000000002i−2i00000000
χ1184-4-4444-2-2-2-4-4222-42224-2-2-2-4404-2-2-20000-4222-442-22-22-200000000004-4000000000000000000000000000000000000000000004-4-22-22-2200000000000000000000000000
χ1194-4-4444-2-2-2-4-4222-42224-2-2-2-4404-2-2-20000-4222-442-22-22-20000000000-4400000000000000000000000000000000000000000000-442-22-22-200000000000000000000000000
χ1204-4-444-24-2-2-42-4222-422-24-2-2-440-24-2-200002-4222-2-442-22-200000000004-400000000000000000000000000000000000000000000-224-4-22-2200000000000000000000000000
χ1214-4-444-24-2-2-42-4222-422-24-2-2-440-24-2-200002-4222-2-442-22-20000000000-44000000000000000000000000000000000000000000002-2-442-22-200000000000000000000000000
χ1224-4-444-2-24-2-422-4222-42-2-24-2-440-2-24-2000022-422-22-2-442-200000000004-400000000000000000000000000000000000000000000-22-224-4-2200000000000000000000000000
χ1234-4-444-2-24-2-422-4222-42-2-24-2-440-2-24-2000022-422-22-2-442-20000000000-44000000000000000000000000000000000000000000002-22-2-442-200000000000000000000000000
χ1244-4-444-2-2-24-4222-4222-4-2-2-24-440-2-2-240000222-42-22-22-2-4400000000004-400000000000000000000000000000000000000000000-22-22-224-400000000000000000000000000
χ1254-4-444-2-2-24-4222-4222-4-2-2-24-440-2-2-240000222-42-22-22-2-440000000000-44000000000000000000000000000000000000000000002-22-22-2-4400000000000000000000000000
χ1264-4-44-244442-4-4-4-4-4-4-4-444442-20-2-2-2-2000022222-22-22-22-200000000000000000000000000000000000000000000000000000000000000004-4000000000000-220000000000
χ1274-4-44-244442-4-4-4-4-4-4-4-444442-20-2-2-2-2000022222-22-22-22-20000000000000000000000000000000000000000000000000000000000000000-440000000000002-20000000000
χ1288-88-8-48-4-4-448-4-4-4-8444-8444-440-422200004-2-2-2-442-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-8-4-48-4-44-48-4-44-8444-844-4402-4220000-24-2-22-2-442-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8-4-4-48-44-4-48-444-8444-84-44022-420000-2-24-22-22-2-442-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4-4-4-484-4-4-48444-8444-8-440222-40000-2-2-242-22-22-2-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-48-4-4-44-8444-84448-4-4-44-40-422200004-2-2-24-4-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-88-4-48-4-444-8444-844-48-4-44-402-4220000-24-2-2-224-4-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88-4-4-48-4444-8444-84-4-48-44-4022-420000-2-24-2-22-224-4-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-4-4-4-484444-8444-8-4-4-484-40222-40000-2-2-24-22-22-224-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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