Finite Group Databasebeta

← Group #13156361

Character table — Group #13156361

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121244412121212121212121212121212121212121241212121212121212121212121212448812121212242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111
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
χ11222222-122222-12-12-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-10002200-1-1-1-100002200-1-1-1-1000000000
χ12222222-122222-12-12-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-12-2-222-1-1111122-1-1-1-1-1-1-1-1000-2-20011110000-2-2001111000000000
χ13222222-122222-12-12-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-12-2-21111-1-1-1-122-1-1-1-1-1-1-222-2-211-1-1-1-1-2-2111111110002200-1-1-1-10000-2-2001111000000000
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χ17222222-1-2-2222-12-12-122-1-12-12-1-1-1-12-1-2-2-2111111-2-2-21111-1-1-1-1-2-211111120022-1-1−i3−i3i3i3-2-21111-1-1-1-10000000−i3−i3i3i300000000i3i3−i3−i3000000000
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χ1922222-122222-12-1222-1-12-1-12-12-1-1-1-122-1-122-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1200-1-1220000-1-1-1-1-1-1-1-1-1-12-1-100220000-1-1-1-10000000000002-1-100
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χ282222-12222-1-12222-122-1-12-1-1-1-1222-1-1-122222222-1000000-1-1-1-1-1-1-1-1-1-1-1-1022000022220000000000-2-2-2-1-111-1-1-1-1111100-2-20000111100000
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χ402-22-222-12-2-2221-21-2-1-22-1-1-212-1-111-2122-2-11-1-111-2003−33−3-111-12-2-11-1-111000003−3−333−3003−33−333−3−30000000−333−30000-22001-11-1000000000
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χ422-22-222-12-2-2221-21-2-1-22-1-1-212-1-111-2122-2-11-1-111-200−33−33-111-12-2-11-1-11100000−33−333−300−33−33−3−3330000000−333−300002-200-11-11000000000
χ432-22-222-1-22-2221-21-2-1-22-1-1-212-1-111-21-2-221-111-1-12003−33−3-111-1-221-111-1-102i−2i00−33−ii−ii003−33−3−3−3330002i−2i00−ii−ii00000000−i3i3i3−i3000000000
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χ884-44-4-2-24-442-2-2-42-42421-2-2-121-2-222-1222-2-4422-2-2-20000001-1-11-112-2-1-11100000000000000000000000000−232300003−33−300000000000000000
χ894-4-44444004-4-44-4-4-4-4444444-4-4-4-44-4-400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000
χ904-4-4444-2004-4-4-2-42-4244-2-24-2-4222-2-42000000000000−2i32i32i3−2i3-22-22000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ914-4-4444-2004-4-4-2-42-4244-2-24-2-4222-2-420000000000002i3−2i3−2i32i3-22-220000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ924-4-444-24004-4242-4-4-4-2-24-2-242-422-22-40000000000000000-22-220000000000023−2300000000000023−23−232300000000000000000000000000000000
χ934-4-444-24004-4242-4-4-4-2-24-2-242-422-22-40000000000000000-22-2200000000000−2323000000000000−232323−2300000000000000000000000000000000
χ944-4-444-2-2004-42-222-42-2-2-21-2-222-1-1122000003i−3i−3i3i000−2i32i32i3−2i31-11-100003i−3i−3i3i00023−2300000000i3−i3−i3i3−333−300000000000000000000000000000000
χ954-4-444-2-2004-42-222-42-2-2-21-2-222-1-1122000003i−3i−3i3i0002i3−2i3−2i32i31-11-100003i−3i−3i3i000−232300000000−i3i3i3−i33−3−3300000000000000000000000000000000
χ964-4-444-2-2004-42-222-42-2-2-21-2-222-1-112200000−3i3i3i−3i000−2i32i32i3−2i31-11-10000−3i3i3i−3i000−232300000000i3−i3−i3i33−3−3300000000000000000000000000000000
χ974-4-444-2-2004-42-222-42-2-2-21-2-222-1-112200000−3i3i3i−3i0002i3−2i3−2i32i31-11-10000−3i3i3i−3i00023−2300000000−i3i3i3−i3−333−300000000000000000000000000000000
χ984-4-44-24400-22-44-4-42-44-2-24-2-222-4-44220000000000000000-22-220000000000000000000000000000000000000000000000000000i6−i6−i6i600000
χ994-4-44-24400-22-44-4-42-44-2-24-2-222-4-44220000000000000000-22-220000000000000000000000000000000000000000000000000000−i6i6i6−i600000
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
χ10288-8-8-48-40044-848-4-44-8-42-44-24-24-44-42000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4800444-8-48-4-842-4-4-24-244-442-4000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4004444-4-4-444222-2-2-2-2-22-222000006i−6i6i−6i0000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4004444-4-4-444222-2-2-2-2-22-22200000−6i6i−6i6i0000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-48-84-4-44444-44222-2-2222-2-2-2-2-4-44-4422-2-24000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-884-4-44444-44222-2-2222-2-2-2-244-44-4-2-222-4000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1088-8-88-48-400-44-8-4-84448-42-4-424-244-44-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4800-44484-84-8-42-4-42-4-2444-4-2400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-400-444-44444-422222-2-2-2-22-2-2000006i−6i−6i6i0000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-400-444-44444-422222-2-2-2-22-2-200000−6i6i6i−6i0000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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