Finite Group Databasebeta

← Group #13169332

Character table — Group #13169332

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666333466666666612124444366612121212121212121212121244441212121212121212121212121212121244444444121212121212121212121212121212121212121244121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-11111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-111111-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-11-1-111-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1111111-11-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11-111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1111-1-111-111-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-111111-1-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-11111111111-111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-11-1111-1-1-1-111-1-11111-1-1-1-1-1-1111-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111111-11-1-1-11111-1-111-1-111-1-1-1-1-1-111-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-111111111111-1-11-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1111111-1-11-1-1-111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-11-1-1-1-11111-1-111-1111-1-111-11-11
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χ18222222-122-122-1-1222-1-1222-1-1-1-1-1-12-1-122-2-2-1-1-1-122-1-1-1-122-1-1-1-12-20022-2-2-1-111-1-1110000-2-2-2-2000011112-200-1-111-1-1110000000000110000
χ19222222-122-122-1-1222-1-1222-1-1-1-1-1-12-1-1-2-222-1-1-1-122-1-1-1-122-1-1-1-1-2200-2-22211-1-111-1-10000-2-2-2-200001111-220011-1-111-1-10000000000110000
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χ954-4-44-2-2422422-4-4-2-21-2-20-1-12222-2-210000001-1-110000003-33-33-300000000000000002i3−2i32i3−2i3000000000000000000000000−i3i3−i3i3000000000000
χ964-4-44-2-2422422-4-4-2-21-2-20-1-12222-2-210000001-1-11000000-33-33-330000000000000000−2i32i32i3−2i3000000000000000000000000i3−i3−i3i3000000000000
χ974-4-44-2-2422422-4-4-2-21-2-20-1-12222-2-210000001-1-11000000-33-33-3300000000000000002i3−2i3−2i32i3000000000000000000000000−i3i3i3−i3000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-48-4-4-844-88442-4-402-244-4-444-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-44444-44422202-2-2-222-2-2-243−430000-1-11100−2323−23230033−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-44444-44422202-2-2-222-2-2-2−43430000-1-1110023−2323−2300−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-4-8448-4-44-84-4-4204-4-424-24-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-44-84-48-444-8-42-404-42-4-24-2440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4844-8-4-48-8442-4-40-22-4-44444-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4444-4-4-44442220-2222-2-2-2-2-2000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4444-4-4-44442220-2222-2-2-2-2-2000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-4-84-4-84448-4-4-420444-24-2-42-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-48-44-8-44-844-48-42-4044-24-242-4-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444-44444-4-42220-2-2-2-2-2-2222000000-111-10000006-6-33-33000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444-44444-4-42220-2-2-2-2-2-2222000000-111-1000000-663-33-3000000000000000000000000000000000000000000000000000000000000

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