Finite Group Databasebeta

← Group #13168090

Character table — Group #13168090

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666333466666666622443666121212121212121212121212122244666666661212121222446666666612121212121212121212444466121212124444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11
χ31111111111111111111111111111111-1-111111111111111111111-111111111-1-1-1-111-1-1111111111-11-111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-1-11-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-11-111-1-1-1-1-1-1-11-1-111-1-11111-11-1
χ511111111111111111111111111111-1-1111111111111111111111-11-1-111-1-1111111-1-11111-1-11111-11-11-1-11111-1-1-11-1-111-1-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-11-111-1-1-1-111111-1-1
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-11111-1-111-111111-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111111-1-11-1-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111111-1-11-111-1-111-1-1-1-1-1-1-1-1111-1-1111-1-111-1-111-11-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-11-1-111-1-1-1111-1-1-1-1-1-1-1-111111
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111111-111-1-111-11-11-1-111-1-1-11-1-11111-1-111-1-1-1-11
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-111111111-11-1-111-1-11-11-111-1-111-11-1-11111-1-1-1-111-1-11
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1111-11-111-1-111-1111-1-1-1-1-1-111-1-1111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111111111-1-11-1-1111-1-11111-1-1-11-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-11111111111-1-11-11-1-1-11111-1-1111-1-1
χ17222222-12-12-122-1222-1-122-1-1-1-1-12-122200-1-1-1-1-122-1-1-1-122-1-1-1-122202222-1-1-1-1000022002-1-1-1-1-1-1-1-1020-1-100000020-1-100000000-100
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χ2922222-1222-122-12-12-12-1-2-12-1-12-1-12-10022-1-1-1-1-21-2-2-2111111112-20-200-1-100-2-2-1-12200221200-1-111010-20011-1-1000-200-1-1000000010
χ3022222-1222-122-12-12-12-1-2-12-1-12-1-12-10022-1-1-1-1-21-2-2-211111111-220-200110022-1-12200-2-2-1-20011-1-1010-20011-1-1000200110000000-10
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χ342222-122-1222-1222-1-1-122-1-122-12-1-1-122-2-2-1-1-1-122-1-1-122-1-1-1-1-1-1002-2-1-1002200-2-211000000-1-100002-2-11-1-11111-2-2000000110000001
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χ362222-122-1222-1222-1-1-122-1-122-12-1-1-1-2-2-2-2-1-1-1-122-1-1-122-1-1-1-1-1-100-2-21100-2-200-2-211000000110000-2-21111111122000000-1-1000000-1
χ372222-122-1222-1222-1-1-12-2-1-122-12-1-1-12222-1-1-1-1-2-2111-2-211111100-2-2-1-100220022-1-1000000-1-10000-2-2111111-1-12-2000000-1-10000001
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χ1038-8-88-4-48-4-84-84-48442-4-402-44-444-24-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-44444-4-444222022-22-2-2-2-2-20000-11-110006i−6i0000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-44444-4-444222022-22-2-2-2-2-20000-11-11000−6i6i00003i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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