Finite Group Databasebeta

← Group #13168553

Character table — Group #13168553

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666663334666666666444436661212121212121212121212121224441212121212121212121212124444666612121212121212121212121212122224661212121244446612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111-11-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-1111111111111111111-11111-1-111-1-1111111-1-11111-11-1111-1-1-1-11111-1-11-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-1111111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ511111111111111111111111111111-1-11111111111111111111-1111-1-111-1-1111111-1-111-1-1-1-11111-1-111111111-1-1-11-1-1-1-111-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-11-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-11-1-1-111-1-111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-111-1-1-1-11111-11-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-111-1-1-1-1-1-1-1-1-111111-1-111-1-11-1-111111-1-1-1-111-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-1-1-1-11-1-11111-1-1-1-1111-11-111-1-11111-1-11-1-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-11-11111-1-11111-1-1-11-1-1-1-1111111-1-1-11-1
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-111-1-111-1111-1-1-1-1-1-1-1-111111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-1-1-11111-1-1-11-1-111-1-111-1-1-1111-1-1-1-1-1-111-1-1111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-11111111111-11-1-1-1-111-1-1-1-111-11-1-1-1-11111-1-111-11-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-11111-1-11-11-111-1-111-1-1111-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-111-1-1111-1-111111-1-111-1-1-1-11
χ17222222-1-122-1-122222-1-1222-1-1-1-1-1-122222-1-1-1-1-122-1-1-1-122-1-1-1-122002222-1-1-1-1000000002-1-1-1-1020-1-1-1-1-1-100002200-1-1000000000-10
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χ19222222-1-122-1-122222-1-1222-1-1-1-1-1-12-2-222-1-1-1-1-122-1-1-1-122-1-1-1-1-2200-2-22211-1-100000000-2111-102011-1-1-1-10000-2-2001100000000010
χ20222222-1-122-1-122222-1-1222-1-1-1-1-1-12-2-2-2-2-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-2-2-2111100000000-211110-2011111100002200-1-1000000000-10
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χ24222222-1-122-1-122222-1-1-222-1-1-1-1-1-12-2-2-2-2-1-1-1-11-2-21111-2-211112200-2-2-2-21111000000002-1-1-1-10201111-1-100002-200-1-100000000010
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χ382222-1222-12222-12-1-1-12-2-1-1-122-12-1-10022-1-1-1-1-2-21-2-2111111110-2-2200-1-10022-2-2-1-100220000-221100-1-11111-1-1000-20000-1-10000001
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χ1038-8-88-4-48844-8-84-4-442-4-40-22-4-44444-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444444-4-442220-2222-2-2-2-2-20000-11-110006i−6i0000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444444-4-442220-2222-2-2-2-2-20000-11-11000−6i6i00003i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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