Finite Group Databasebeta

← Group #13167798

Character table — Group #13167798

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222223344444444444444444444666668888888888888881212121212121212121212121212121212121218182424242424242424363636363636364848484854547272727272108
order123334666443336668121212121224242424242424242121212123612121212242424242424242424222466668121224242424242424242466666612122444681266612246121212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111111111111111-1-11111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-111111-1-11-1-1-11-1-11-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111
χ511111111111111111-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11-11-11111-111-1-1-1-1-1-1-1-1111-11-111-1-1-11-111-1111-1-111-111-1-1-1
χ611111111111111111-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11-1-111111-111-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-11-1-11-11-1-11-11-111
χ711111111111111111-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-11111-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-11-11-11-1-1-1-11-1111
χ811111111111111111-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-111111-111-1-1-1-1-1-1-1-111-11-11-1-1111-11-11-11-1-111111-1-11-1-1
χ9111111111-1-111111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-11-1
χ10111111111-1-111111111111111111111-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-111-11111-1-1-11
χ11111111111-1-111111111111111111111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11-1-1111-1-111-11
χ12111111111-1-111111111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111-1
χ13111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11-1-111111111111-11-111-1-11-11-11-1111-1-1-1-11-1-11-11
χ14111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11-1-111111111-1-11-11-1-1-111-1-111-11-1-11-1111-11-111-1
χ15111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111111111-1-1-11-1111-1-111-1-1-11-11-11-1111-11-11-1
χ16111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11-1-11111111111-11-11-1-111-11-111-11-1-111-1-1-111-1-11
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χ3922-122222-122-12-1-1-12-22-1-1-1211-2-21111222-1-1-1-1-12-1-1-211-2-211112-200-12-1-1-2-1-111-2-2111100-112-2000002-200000-1100000-1100
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χ4122-122222-1-2-2-12-1-1-1222-1-1-12-1-122-1-1-1-1-2-2-211-1-1-12-1-12-1-122-1-1-1-122001-211-21111-2-2111100-1-12200000-2-200000-1-1000001100
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χ4322-122222-1-2-2-12-1-1-12-22-1-1-1211-2-21111-2-2-211-1-1-12-1-1-211-2-211112-2001-211211-1-122-1-1-1-100-112-200000-2200000-11000001-100
χ4422-122222-1-2-2-12-1-1-12-22-1-1-1211-2-21111-2-2-211-1-1-12-1-1-211-2-21111-22001-211211-1-122-1-1-1-1001-1-22000002-2000001-100000-1100
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χ948-8-4-4804-8400-4-42-2440000002i6−2i6002i6−2i6−2i62i6000002-200000−i6i600−i6i6i6−i6000000000000000000000000000000000000000000000000
χ958-8-4-4804-8400-4-42-244000000−2i62i600−2i62i62i6−2i6000002-200000i6−i600i6−i6−i6i6000000000000000000000000000000000000000000000000
χ968-8-4-4-4044400222-2-2-20006i−6i02i6−2i626−26−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ2300000-1100−3i3i0−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000000000000000000
χ978-8-4-4-4044400222-2-2-20006i−6i0−2i62i6−26262ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ2300000-1100−3i3i0i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000000000000000000
χ988-8-4-4-4044400222-2-2-2000−6i6i02i6−2i6−2626−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ1300000-11003i−3i0−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000000000000000000
χ998-8-4-4-4044400222-2-2-2000−6i6i0−2i62i626−262ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ1300000-11003i−3i0i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.