Finite Group Databasebeta

← Group #13156330

Character table — Group #13156330

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order122233344666666666333666666666121212121212121212124412121212366612121212121212122246666121212121212121212121212121246666661212121212121212448812121212242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-111
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
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-200-20000-2-222-2-22222-2-2-2-200000000000000000000000000000000
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χ11222222-122222-1-1222-12-1-12-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1022-1-1-1-1000000002200-1-1-1-1000000000
χ12222222-122222-1-1222-12-1-12-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-221111-1-12222-1-1-1-1-1-1-1-10-2-2111100000000-2-2001111000000000
χ13222222-122222-1-1222-12-1-12-1-12-1-1-1-12222-1-1-1-1-1-12-2-21111-1-1-1-122-1-1-1-1-1-122-2-1-1-1-111-2-2-2-211111111022-1-1-1-100000000-2-2001111000000000
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χ17222222-1-2-2222-1-1222-12-1-12-1-12-1-1-1-12-2-2-2111111-2-2-21111-1-1-1-1-2-2111111002−i3−i3i3i3-1-1-2-2221111-1-1-1-1000−i3−i3i3i3000000000000i3i3−i3−i3000000000
χ18222222-1-2-2222-1-1222-12-1-12-1-12-1-1-1-12-2-2-2111111-2-2-21111-1-1-1-1-2-2111111002i3i3−i3−i3-1-1-2-2221111-1-1-1-1000i3i3−i3−i3000000000000−i3−i3i3i3000000000
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χ4122-2-222-1-22-222-11-2-2-212-1-1-2112-1-111-2-22-21-111-1-1200−3−333-111-1-221-111-1-1000−i3i3i3−i33−30000−3−33333−3−3000−i3i3i3−i300000000−2i2i00i−ii−i000000000
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χ884-44-4-24-20042-42-2-42-22-21-2-2-222-121-1200000−3i3i−3i3i0−4i4i2i−2i2i−2i11-1-10000−3i3i−3i3i0000000002i−2i00−ii−ii3-33-300000000000000000000000000000000
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χ904-4-4444-200-4-4-42244-4-24-2-2-42-2-4222-24000000000000−2i32i32i3−2i3-22-22000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ914-4-4444-200-4-4-42244-4-24-2-2-42-2-4222-240000000000002i3−2i3−2i32i3-22-220000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ924-4-444-24002-42-4-4-24-44-24-222-22-42-44-20000000000000000-22-220000000000000000000000000000000000000000000000000000i6−i6−i6i600000
χ934-4-444-24002-42-4-4-24-44-24-222-22-42-44-20000000000000000-22-220000000000000000000000000000000000000000000000000000−i6i6i6−i600000
χ944-4-44-24400-42-4-4-44-224-2-242-4422-42-2-20000000000000000-22-22000000000000000000023−23000023−23−232300000000000000000000000000000000
χ954-4-44-24400-42-4-4-44-224-2-242-4422-42-2-20000000000000000-22-220000000000000000000−23230000−232323−2300000000000000000000000000000000
χ964-4-44-24-200-42-4224-22-2-21-222-22-12-11-2000003i−3i−3i3i000−2i32i32i3−2i31-11-100003i−3i−3i3i0000000000023−23i3−i3−i3i3−333−300000000000000000000000000000000
χ974-4-44-24-200-42-4224-22-2-21-222-22-12-11-2000003i−3i−3i3i0002i3−2i3−2i32i31-11-100003i−3i−3i3i00000000000−2323−i3i3i3−i33−3−3300000000000000000000000000000000
χ984-4-44-24-200-42-4224-22-2-21-222-22-12-11-200000−3i3i3i−3i000−2i32i32i3−2i31-11-10000−3i3i3i−3i00000000000−2323i3−i3−i3i33−3−3300000000000000000000000000000000
χ994-4-44-24-200-42-4224-22-2-21-222-22-12-11-200000−3i3i3i−3i0002i3−2i3−2i32i31-11-10000−3i3i3i−3i0000000000023−23−i3i3i3−i3−333−300000000000000000000000000000000
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
χ10288-8-8-4-4-48-84-4-4-444444222-2-2-2222-2-2-2-44-4-4422-2-24000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-884-4-4-444444222-2-2-2222-2-2-24-444-4-2-222-4000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1048-88-88-4-400-4-844-44-884-4-42-42-244-2-444000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4800-444-8844-4-82-4-42-44-244-44-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-400-4444-444-4422222-2-2-2-22-2-2000006i−6i6i−6i0000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-400-4444-444-4422222-2-2-2-22-2-200000−6i6i−6i6i0000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1088-8-888-4-4004-8444-48-8-4-4-424-2244-24-4-400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4800444-8-8-4-4482-4-4-24-4-2444-4200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-40044444-4-44-4222-2-22-2-2-2-222000006i−6i−6i6i0000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-40044444-4-44-4222-2-22-2-2-2-22200000−6i6i6i−6i0000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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