Finite Group Databasebeta

← Group #13156333

Character table — Group #13156333

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order122233344666666666333666666666121212121212121212124412121212366612121212121212124441212121212121212121212121212121212124121212121212121212121212121222666688242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-200-2-2-2-20000222222-2-2-2-200000000000000000000000000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-220022220000-2-2-2-2-2-2222200000000000000000000000000000000
χ11222222-12222-1-1222-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-1-10220000-1-1-1-1000022-1-1-1-100000000000
χ12222222-12222-1-1222-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-12-2-2-1-122111122-1-1-1-1-1-1-1-10-2-2000011110000-2-2111100000000000
χ13222222-12222-1-1222-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-12-2-21111-1-1-1-122-1-1-1-1-1-1-22211-2-2-1-1-1-1-2-2111111110220000-1-1-1-10000-2-2111100000000000
χ14222222-12222-1-1222-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-12-2-21111-1-1-1-122-1-1-1-1-1-1-2-2-211-2-21111-2-2111111110-2-200001111000022-1-1-1-100000000000
χ15222222-1-2-222-1-1222-122-1-12-12-1-1-1-12-1-2-2-2111111-222-1-1-1-1-1-1-1-1-2-2111111-20011-2-2−i3−i3i3i322-1-1-1-111110000000−i3−i3i3i3000000−i3−i3i3i300000000000
χ16222222-1-2-222-1-1222-122-1-12-12-1-1-1-12-1-2-2-2111111-222-1-1-1-1-1-1-1-1-2-2111111-20011-2-2i3i3−i3−i322-1-1-1-111110000000i3i3−i3−i3000000i3i3−i3−i300000000000
χ17222222-1-2-222-1-1222-122-1-12-12-1-1-1-12-1-2-2-2111111-2-2-21111-1-1-1-1-2-2111111200-1-122−i3−i3i3i3-2-21111-1-1-1-10000000−i3−i3i3i3000000i3i3−i3−i300000000000
χ18222222-1-2-222-1-1222-122-1-12-12-1-1-1-12-1-2-2-2111111-2-2-21111-1-1-1-1-2-2111111200-1-122i3i3−i3−i3-2-21111-1-1-1-10000000i3i3−i3−i3000000−i3−i3i3i300000000000
χ1922222-12222-12222-12-1-12-1-12-12-1-1-1-122-1-122-1-1-1-12222222-1-1-1-1-1-122-1-1-1-120022-1-10000-1-1-1-1-1-1-1-1-1-120022-1-10000-1-1-1-10000000000002-1-100
χ2022222-12222-12222-12-1-12-1-12-12-1-1-1-122-1-122-1-1-1-12222222-1-1-1-1-1-122-1-1-1-120022-1-10000-1-1-1-1-1-1-1-1-1-1-200-2-21100001111000000000000-21100
χ2122222-12222-12222-12-1-12-1-12-12-1-1-1-122-1-122-1-1-1-12-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-200-2-2110000111111111120022-1-10000-1-1-1-1000000000000-21100
χ2222222-12222-12222-12-1-12-1-12-12-1-1-1-122-1-122-1-1-1-12-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-200-2-21100001111111111-200-2-211000011110000000000002-1-100
χ2322222-12-2-22-12222-12-1-12-1-12-12-1-1-1-12-211-2-21111-2222222-1-1-1-111-2-21111-200-2-2110000-1-1-1-1-1-1111100000−i3i30000−i3−i3i3i30000000000000−i3i300
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χ2522222-12-2-22-12222-12-1-12-1-12-12-1-1-1-12-211-2-21111-2-2-2-2-2-2-2-1-1-1-111-2-2111120022-1-10000111111-1-1-1-100000−i3i30000−i3−i3i3i30000000000000i3−i300
χ2622222-12-2-22-12222-12-1-12-1-12-12-1-1-1-12-211-2-21111-2-2-2-2-2-2-2-1-1-1-111-2-2111120022-1-10000111111-1-1-1-100000i3−i30000i3i3−i3−i30000000000000−i3i300
χ272222-12222-1222-1-1222-1-12-1-1-1-1222-1-1-122222222-1000000-1-1-1-1-1-1-1-1-1-1-1-10220000222200000000002-1-1-1-122-1-1-1-1-1-1-1-100000022-1-1-1-100000
χ282222-12222-1222-1-1222-1-12-1-1-1-1222-1-1-122222222-1000000-1-1-1-1-1-1-1-1-1-1-1-1022000022220000000000-2-1-111-2-2-1-1-1-11111000000-2-2111100000
χ292222-12222-1222-1-1222-1-12-1-1-1-1222-1-1-122222222-1000000-1-1-1-1-1-1-1-1-1-1-1-10-2-20000-2-2-2-20000000000211-1-1221111-1-1-1-1000000-2-2111100000
χ302222-12222-1222-1-1222-1-12-1-1-1-1222-1-1-122222222-1000000-1-1-1-1-1-1-1-1-1-1-1-10-2-20000-2-2-2-20000000000-21111-2-21111111100000022-1-1-1-100000
χ3122-2-22222-2222-2-2-2-2-2-2222-2-2222-2-2-2-222-22-222-2-2-20000002-2-222-22-222-2-20000000000000000000000000000000000002-22-22-200000000000
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χ3322-2-2222-22222-2-2-2-2-2-2222-2-2222-2-2-2-2-2-22-22-2-22220000002-2-22-22-22-2-22202i−2i00002i−2i2i−2i000000000002i−2i00002i−2i2i−2i000000000000000000000
χ3422-2-2222-22222-2-2-2-2-2-2222-2-2222-2-2-2-2-2-22-22-2-22220000002-2-22-22-22-2-2220−2i2i0000−2i2i−2i2i00000000000−2i2i0000−2i2i−2i2i000000000000000000000
χ3522-2-222-12-222-11-2-2-21-22-1-1-212-1-111-2122-2-11-1-111-20033−3−3-111-12-2-11-1-1110003−3003−3−330033−3−333−3−300000003−3−3300002-2-11-1100000000000
χ3622-2-222-12-222-11-2-2-21-22-1-1-212-1-111-2122-2-11-1-111-20033−3−3-111-12-2-11-1-1110003−300−333−30033−3−333−3−30000000−333−30000-221-11-100000000000
χ3722-2-222-12-222-11-2-2-21-22-1-1-212-1-111-2122-2-11-1-111-200−3−333-111-12-2-11-1-111000−33003−3−3300−3−333−3−33300000003−3−330000-221-11-100000000000
χ3822-2-222-12-222-11-2-2-21-22-1-1-212-1-111-2122-2-11-1-111-200−3−333-111-12-2-11-1-111000−3300−333−300−3−333−3−3330000000−333−300002-2-11-1100000000000
χ3922-2-222-1-2222-11-2-2-21-22-1-1-212-1-111-21-2-221-111-1-120033−3−3-111-1-221-111-1-102i−2i−3300−ii−ii0033−3−3−3−33302i−2i0000−ii−ii000000−i3i3i3−i300000000000
χ4022-2-222-1-2222-11-2-2-21-22-1-1-212-1-111-21-2-221-111-1-120033−3−3-111-1-221-111-1-10−2i2i−3300i−ii−i0033−3−3−3−3330−2i2i0000i−ii−i000000i3−i3−i3i300000000000
χ4122-2-222-1-2222-11-2-2-21-22-1-1-212-1-111-21-2-221-111-1-1200−3−333-111-1-221-111-1-102i−2i3−300−ii−ii00−3−33333−3−302i−2i0000−ii−ii000000i3−i3−i3i300000000000
χ4222-2-222-1-2222-11-2-2-21-22-1-1-212-1-111-21-2-221-111-1-1200−3−333-111-1-221-111-1-10−2i2i3−300i−ii−i00−3−33333−3−30−2i2i0000i−ii−i000000−i3i3i3−i300000000000
χ4322-2-2-122-22-122-211-2-2-2-1-1211-1-12-2-2111-22-22-2-222-1000000-111-11-11-111-1-102i−2i00002i−2i2i−2i00000000000−ii3−300−ii−ii3−33−300000000−i3−i3i3i300000
χ4422-2-2-122-22-122-211-2-2-2-1-1211-1-12-2-2111-22-22-2-222-1000000-111-11-11-111-1-102i−2i00002i−2i2i−2i00000000000−ii−3300−ii−ii−33−3300000000i3i3−i3−i300000
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χ4622-2-2-122-22-122-211-2-2-2-1-1211-1-12-2-2111-22-22-2-222-1000000-111-11-11-111-1-10−2i2i0000−2i2i−2i2i00000000000i−i−3300i−ii−i−33−3300000000−i3−i3i3i300000
χ472-22-222200-2-2-222-22-2-2222-22-2-2-22-22-200000000002i−2i2i−2i2i−2i22-2-200000000000000000002i−2i2i−2i2i−2i0000000000000000000000000−i2i2−i2i2−i2i20002−2
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χ5144444-2-2444-2-2-244-2-2-2-2-21-2-2-2-2111-2-24-2-2-2-21111444-2-2-2-21111-2-2-2-21111400-2-2-2-20000-2-21111111100000000000000000000000000000000
χ5244444-2-2444-2-2-244-2-2-2-2-21-2-2-2-2111-2-24-2-2-2-211114-4-422221111-2-2-2-21111-4002222000022-1-1-1-1-1-1-1-100000000000000000000000000000000
χ5344444-2-2-4-44-2-2-244-2-2-2-2-21-2-2-2-2111-2-2-42222-1-1-1-1-444-2-2-2-211112222-1-1-1-1-40022220000-2-21111-1-1-1-100000000000000000000000000000000
χ5444444-2-2-4-44-2-2-244-2-2-2-2-21-2-2-2-2111-2-2-42222-1-1-1-1-4-4-4222211112222-1-1-1-1400-2-2-2-2000022-1-1-1-1111100000000000000000000000000000000
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χ874-44-4-244002-4-44-224-4-4-2-242-222-44-4-220000000000000000-2-22200000000000000000000000000000000000000000000000000−2i22i2i2−i2i2−i200000
χ884-44-4-244002-4-44-224-4-4-2-242-222-44-4-220000000000000000-2-222000000000000000000000000000000000000000000000000002i2−2i2−i2i2−i2i200000
χ894-4-4444400-4-4-4-4-44-4444444-4-4-4-4-44-4400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000
χ904-4-4444-200-4-422-44-4-244-2-242-4222-2-4-2000000000000−2i32i32i3−2i3-22-22000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ914-4-4444-200-4-422-44-4-244-2-242-4222-2-4-20000000000002i3−2i3−2i32i3-22-220000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ924-4-444-2400-42-4-4-4424-2-24-2-2-42-422-2240000000000000000-22-22000000000000023−23000000000023−23−232300000000000000000000000000000000
χ934-4-444-2400-42-4-4-4424-2-24-2-2-42-422-2240000000000000000-22-220000000000000−23230000000000−232323−2300000000000000000000000000000000
χ944-4-444-2-200-4222-442-2-2-2-21-2222-1-112-2000003i−3i−3i3i000−2i32i32i3−2i31-11-100003i−3i−3i3i0000023−23000000i3−i3−i3i3−333−300000000000000000000000000000000
χ954-4-444-2-200-4222-442-2-2-2-21-2222-1-112-2000003i−3i−3i3i0002i3−2i3−2i32i31-11-100003i−3i−3i3i00000−2323000000−i3i3i3−i33−3−3300000000000000000000000000000000
χ964-4-444-2-200-4222-442-2-2-2-21-2222-1-112-200000−3i3i3i−3i000−2i32i32i3−2i31-11-10000−3i3i3i−3i00000−2323000000i3−i3−i3i33−3−3300000000000000000000000000000000
χ974-4-444-2-200-4222-442-2-2-2-21-2222-1-112-200000−3i3i3i−3i0002i3−2i3−2i32i31-11-10000−3i3i3i−3i0000023−23000000−i3i3i3−i3−333−300000000000000000000000000000000
χ984-4-44-244002-4-4-42-2-444-2-24-2222-4-442-20000000000000000-22-2200000000000000000000000000000000000000000000000000006−6−6600000
χ994-4-44-244002-4-4-42-2-444-2-24-2222-4-442-20000000000000000-22-220000000000000000000000000000000000000000000000000000−666−600000
χ1008888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-42222-4000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000
χ1018888-4-4-4-8-8-4-4-4-4-4-4-4-4-422222222222244444-2-2-2-24000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-48-8-4-4-4444444222-2-2222-2-2-2-2-4-44-4422-2-24000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-88-4-4-4444444222-2-2222-2-2-2-244-44-4-2-222-4000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1048-88-8-48-4004-84-4-4484-8-42-4424-24-44-4-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-480044-88-44-4-842-4-4-2-4-244-4424000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-400444-4-44-444222-22-2-2-22-22-2000006i−6i6i−6i0000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-400444-4-44-444222-22-2-2-22-22-200000−6i6i−6i6i0000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4004-8444-4-8-48-42-4-4-24-244-44200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-480044-8-84-448-42-4-424-2444-4-2-400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-40044444-44-4-42222-2-2-2-2-22-22000006i−6i−6i6i0000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-40044444-44-4-42222-2-2-2-2-22-2200000−6i6i6i−6i0000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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