Finite Group Databasebeta

← Group #13168564

Character table — Group #13168564

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666633346666666664444366612121212121212121212121212244466121212121212121212122244666121212121212121212121212121212444466121212124444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-1-1-11111-1-11111-1-1-1-1-1-1-11-111111-1-11111111-11-1-1-111-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-11111111111111111111-1111-1-1-1-1111111-1-111111111-1-1111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11
χ41111111111111111111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1111-1-1-1-111111-1-1
χ511111111111111111111111111111-1-111111111111111111111-11111111111-1-1-1-111-1-1111-11-111-1-111-1-11111-1-1-1111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111111111111-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1-11
χ711111111111111111111111111111-1-1-1-1111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-1-111-1-1-1-1-1-11-11-1-1-111-1-11111-11-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-11111-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-11-1-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-111-11111-1-1-1-111-1-11
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111111111111-1-1-111-1-1-1-111-1-1111-1-1-111-1-111-1-111-11-1
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11111-1-11111-11-1-1-1-1-1-111-1-1111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-111111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-11111-1-1-1111-1-11111-1-111-1-11-1-1-111-1-11111-1-1-11-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-111-1-11111-111111-1-1-1-1-1-111-111-11111-1-111-1-1-1-11
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111111111-1-1-1-111-1-111-1-11111-1-1111-1-1
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χ19222222-12-1222-1-1222-1-122-1-1-1-12-12-100-2-2-1-1-1-1-122-1-1-1-122-1-1-1-120-2222-2-211-1-10000-2-200-1-1-1020-2100-1-1001111000-21100000000100
χ20222222-12-1222-1-1222-1-122-1-1-1-12-12-100-2-2-1-1-1-1-122-1-1-1-122-1-1-1-1-20-2-2-2-2-2-21111000022001110-20-2100110011110002-1-100000000-100
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χ2922222-12-12-122222-1-12-1-2-12-12-1-1-1-122200-1-1-1-1-2-21-2-2111111112-20-2-1-10000-2-222-1-100222-1-111-2001111-1-100000-2000000-1-10000001
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χ1028-8-88-48-484-84-44-44-8-42-40-42-4-24444-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-4-844-4-88442-4-402-4-444-24-2400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-4444-44-4442220222-2-2-2-2-2-20000-11-11000006i−6i00−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-4444-44-4442220222-2-2-2-2-2-20000-11-1100000−6i6i003i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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