Finite Group Databasebeta

← Group #13156315

Character table — Group #13156315

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121244412121212121212121212121212121212121241212121212121212121212121212448812121212242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-111
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
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χ934-4-444-2400-422-44-4-44-2-24-22-44222-2-2-40000000000000000-22-2200000000000000000002i3−2i300002i3−2i3−2i32i300000000000000000000000000000000
χ944-4-444-2-200-42224-42-2-2-2-2122-22-1-11-22000003i−3i−3i3i00023−23−23231-11-100003i−3i−3i3i00000000000−2i32i3−333−3i3−i3−i3i300000000000000000000000000000000
χ954-4-444-2-200-42224-42-2-2-2-2122-22-1-11-22000003i−3i−3i3i000−232323−231-11-100003i−3i−3i3i000000000002i3−2i33−3−33−i3i3i3−i300000000000000000000000000000000
χ964-4-444-2-200-42224-42-2-2-2-2122-22-1-11-2200000−3i3i3i−3i00023−23−23231-11-10000−3i3i3i−3i000000000002i3−2i3−333−3−i3i3i3−i300000000000000000000000000000000
χ974-4-444-2-200-42224-42-2-2-2-2122-22-1-11-2200000−3i3i3i−3i000−232323−231-11-10000−3i3i3i−3i00000000000−2i32i33−3−33i3−i3−i3i300000000000000000000000000000000
χ984-4-44-244002-4-4-4-22-444-2-2422-22-4-44-220000000000000000-22-2200000000000000000000000000000000000000000000000000006−6−6600000
χ994-4-44-244002-4-4-4-22-444-2-2422-22-4-44-220000000000000000-22-220000000000000000000000000000000000000000000000000000−666−600000
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
χ10288-8-8-48-400-4-88-44444-8-42-4-42-244-444-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4800-44-4844-8-842-4-42-44-24-44-24000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-400-44-4-44444422222-2-2-22-2-2-2000006i−6i6i−6i0000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-400-44-4-44444422222-2-2-22-2-2-200000−6i6i−6i6i0000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-48-84-4444-4-444222-2-2-222-2-2-22-44-4-4422-2-24000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-884-4444-4-444222-2-2-222-2-2-224-444-4-2-222-4000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4004-8-84-444-48-42-44-22444-4-4-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4800444-8-44-88-42-4-4-24-4-244-42400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4004444-444-4-4222-2-22-2-2-222-2000006i−6i−6i6i0000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4004444-444-4-4222-2-22-2-2-222-200000−6i6i6i−6i0000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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