Finite Group Databasebeta

← Group #13155982

Character table — Group #13155982

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order122233344666666666333666666666121212121212121212124412121212366612121212121212124441212121212121212121212121212121212122666666661212121212124488121212122424242426688
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111
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
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-200-222-2-20000-2-22222-2-2-2-200000000000000000000000000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2002-2-222000022-2-2-2-2222200000000000000000000000000000000
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χ12222222-12222-12-1-12222-1-122-1-1-1-1-1-12-1-1222-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1002-1-1-1-1000022-1-1-1-1-1-1-1-1-2-2-2111111000000000000000000-21100
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χ14222222-12222-12-1-12222-1-122-1-1-1-1-1-12-1-1222-1-1-1-12-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-100-211110000-2-211111111-2-2-21111110000000000000000002-1-100
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χ352-22-22222-2-2-22-2-2-222-2222-2-2-2-222-2-222-22-2222-2-2-20000002-2-222-22-222-2-20000000000000000000000000000000000002i−2i002i−2i2i−2i000000000
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χ914-4-4444-200-442-42-2-4-444-2-2-442-2222-2-40000000000000000-22-2200000000000002i3−2i300000000002i3−2i3−2i32i300000000000000000000000000000000
χ924-4-444-24002-2-4-4-44-424-24-22-22-2-42-4420000000000000000-22-2200000000000000000000000000000000000000000000000000006−6−6600000
χ934-4-444-24002-2-4-4-44-424-24-22-22-2-42-4420000000000000000-22-220000000000000000000000000000000000000000000000000000−666−600000
χ944-4-44-24400-44-42-442-4-2-2-242-2-442-42-2200000000000023−23−2323-22-2200000000000000000000023−23−2323000000000000000000000000000000000000
χ954-4-44-24400-44-42-442-4-2-2-242-2-442-42-22000000000000−232323−23-22-22000000000000000000000−232323−23000000000000000000000000000000000000
χ964-4-44-24-200-44222-22-4-2-21-22-22-2-12-112000003i−3i−3i3i00023−23−23231-11-100003i−3i−3i3i00000−2i32i3000000−333−3i3−i3−i3i300000000000000000000000000000000
χ974-4-44-24-200-44222-22-4-2-21-22-22-2-12-112000003i−3i−3i3i000−232323−231-11-100003i−3i−3i3i000002i3−2i30000003−3−33−i3i3i3−i300000000000000000000000000000000
χ984-4-44-24-200-44222-22-4-2-21-22-22-2-12-11200000−3i3i3i−3i00023−23−23231-11-10000−3i3i3i−3i000002i3−2i3000000−333−3−i3i3i3−i300000000000000000000000000000000
χ994-4-44-24-200-44222-22-4-2-21-22-22-2-12-11200000−3i3i3i−3i000−232323−231-11-10000−3i3i3i−3i00000−2i32i30000003−3−33i3−i3−i3i300000000000000000000000000000000
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
χ10288-8-88-4-400-4448-44-84-8-4-42-442-24-2-444000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4800-44-8-48-84442-4-42-2-4444-44-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-400-444-4-444442222-22-2-2-22-2-2000006i−6i6i−6i0000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-400-444-4-444442222-22-2-2-22-2-200000−6i6i−6i6i0000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-48-844-4444-4-44222-2-2-2-222-2-22-44-44-422-2-24000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-8844-4444-4-44222-2-2-2-222-2-224-44-44-2-222-4000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1088-8-888-4-4004-44-84-4-848-4-424-4-224-24-4400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48004-4-84-8844-42-4-4-224-4444-4-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4004-4444-444-4222-22-22-2-2-22-2000006i−6i−6i6i0000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4004-4444-444-4222-22-22-2-2-22-200000−6i6i6i−6i0000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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