Finite Group Databasebeta

← Group #13167801

Character table — Group #13167801

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222223344444444444444444444666668888888888888881212121212121212121212121212121212121218182424242424242424363636363636364848484854547272727272108
order1233346664433366681212121212242424242424242421212121236121212122424242424242424242444666681212242424242424242424661212121212122224681261212122466612248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111111111111111-1-111-1-111-1-11-1-11-1-1-111-1-1-1-11-1-11-1-1
χ3111111111111111111111111111111111111111111111111111-1-111111111111111111-1-1-1-111-1-111-111-1-1-1-1-1-111-1-1-111-1-1-1
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
χ511111111111111111-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11-11-11111-111-1-1-1-1-1-1-1-111111-1-1-11-1-11-111-111-11-111-11-11-1-1
χ611111111111111111-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11-1-111111-111-1-1-1-1-1-1-1-1-1-111-11-1-1-11-1-111-11-11-1-11-1-1-1-11111
χ711111111111111111-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-11111-111-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-1-11-1-111-1-1-111-1-111
χ811111111111111111-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-111111-111-1-1-1-1-1-1-1-111-1-1-1111-111-11-11-11-11-11111-11-1-1-1
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
χ10111111111-1-111111111111111111111-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-1-1-111-1-111-111-1-11
χ11111111111-1-111111111111111111111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-111111-1-11-11
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
χ13111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11-1-11111111111111-1-1-11-11-11-11-111-11-1-1-11-11-1-11
χ14111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11-1-111111111-1-111-11-1-1-1111-1-1-11-11-1-111111-1-11-1
χ15111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111111111-1-1-1-11-1111-1-1-111-11-1-111-111-1-1111-1
χ16111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11-1-11111111111-1-1-1111-11-11-111-11-11-11-1-1-11-11-11
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χ252222-12-122-2-2-1-12-12-12-12-1-1222-1-1-1-1-1-1-211-2-2-1-12-1-1-1222-1-1-1-1-1-10022-2111-211-2-21111110000-1-100220-2-2000000-1-100011000
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χ30222-12222-1222-1-1-1-1222-1-1-12-1-122-1-1-1-1222-1-1-1-1-12-1-12-1-122-1-1-1-1-2-200-12-1-12-1-1-1-122-1-1-1-100-2100-2100-200-2000110000100100
χ31222-12222-1222-1-1-1-12-22-1-1-1211-2-21111222-1-1-1-1-12-1-1-211-2-211112-200-12-1-1-2-1-111-2-21111002-100-2100-2002000-110000100-100
χ32222-12222-1222-1-1-1-12-22-1-1-1211-2-21111222-1-1-1-1-12-1-1-211-2-21111-2200-12-1-1-2-1-111-2-2111100-21002-100200-20001-10000-100100
χ33222-12222-1-2-22-1-1-1-1222-1-1-12-1-122-1-1-1-1-2-2-211-1-1-12-1-12-1-122-1-1-1-122001-211-21111-2-21111002-1002-100-200-2000-1-10000100100
χ34222-12222-1-2-22-1-1-1-1222-1-1-12-1-122-1-1-1-1-2-2-211-1-1-12-1-12-1-122-1-1-1-1-2-2001-211-21111-2-2111100-2100-21002002000110000-100-100
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χ948-8-4-480-84400-4-424-2400000026−260026−26−2626000002-200000−6600−666−6000000000000000000000000000000000000000000000000
χ958-8-4-480-84400-4-424-24000000−262600−262626−26000002-2000006−6006−6−66000000000000000000000000000000000000000000000000
χ968-8-4-4-4044400222-2-2-20006i−6i026−262i6−2i6−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ2300000-1100−3i3i0−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000000000000000000
χ978-8-4-4-4044400222-2-2-20006i−6i0−2626−2i62i62ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ2300000-1100−3i3i06−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000000000000000000
χ988-8-4-4-4044400222-2-2-2000−6i6i026−26−2i62i62ζ7−2ζ23−2ζ7+2ζ232ζ5−2ζ13−2ζ5+2ζ1300000-11003i−3i0−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000000000000000000
χ998-8-4-4-4044400222-2-2-2000−6i6i0−26262i6−2i6−2ζ7+2ζ232ζ7−2ζ23−2ζ5+2ζ132ζ5−2ζ1300000-11003i−3i06−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000000000000000000

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