Finite Group Databasebeta

← Group #13156023

Character table — Group #13156023

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222244444444444444444488888888888888121212121212121212121212181818181818242424242424242424242424242424242424242424363636363636363636363636363636216
order1222333446666666663336666666661212121212123666121212121212121212124444121212121212121244121212124121212121212121212121212121212121212121248888121224242424242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-111-1-111-1-111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1111111-1-1-1-11111-111-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ511111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111111111-1-1-111-1-1-1-1-1-11111-1
χ611111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1
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χ11222222-12222222-1-12-12-1-122-1-1-1-1-12-12-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1022002200-1-1-1-1-1-1-1-1000020000-1-1000000000
χ12222222-12222222-1-12-12-1-122-1-1-1-1-12-12-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-1-1-1-1-2-2111102200-2-200-1-1-1-111110000-2000011000000000
χ13222222-12222222-1-12-12-1-122-1-1-1-1-12-12-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-222-1-1-1-11111-2-211110-2-20022001111-1-1-1-10000-2000011000000000
χ14222222-12222222-1-12-12-1-122-1-1-1-1-12-12-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-10-2-200-2-20011111111000020000-1-1000000000
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χ17222222-1-2-222222-1-12-12-1-122-1-1-1-1-12-1-211-2-2-2-1-1-1-111-2-21111110000i3i3−i3−i3−i3−i3i3i3-2-21111000000000−i3−i3i3i3i3i3−i3−i3000020000-1-1000000000
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χ2022222-122222-1-1-12222-12-1-1-122-1-1-1-12-1222-12-1-1-1-1-1-1-1-122-1-1-1-1220000002222000000-2-1-11100-2-2-1-1-1-1000011110-2-20000111100000
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χ2722-2-2222002-22-2-2-22-2-22222-22-22-2-2-2-200000022-2-200000000000000000000002-222-2-200000000000000000000002−22−20022−2−222−2−20
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χ2922-2-2222002-22-2-2-22-2-22222-22-22-2-2-2-200000022-2-20000000000000000000000-22-2-22200000000000000000000002−2−220022−2−2−2−2220
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χ312-2-222222-2-2-2-2-222-22-2222-2-2-2-2-22-22222-22-2-22-2-222-22-22-222-2-22i−2i0000002i−2i2i−2i00000002i−2i0000002i−2i2i−2i000000000000000000000000
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χ422-2-2222-1-22-2-2-2-22-11212-1-1-2-2111-112-1-21-1-222-111-11-1-221-111-1-100-221-11-1−333−3003−33−300000-2200−333−31-11-1000000000−33000000000
χ432-2-222-122-2-2-211-12-22-2-12-111-2-21-11-12-12-221-2-111-1-11-112-2-1-1112i−2i0000002i−2i2i−2i0000000−ii−i3i30000−ii−ii0000−i3−i3i3i300000003−33−300000
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χ1008-88-8-48-4004-4-88-8444-4-42-44-4-2244-44-20000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-48004-44-44-8-8482-4-4-224-444-4-240000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-4004-44-44444-4222-22-22-2-22-2-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4004-44-44444-4222-22-22-2-22-2-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-48-84444-4-44-44222-2-2-2-2-22-222-4-44-444-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-884444-4-44-44222-2-2-2-2-22-22244-44-4-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000

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