Finite Group Databasebeta

← Group #13160239

Character table — Group #13160239

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1122222222222224444444444444444444444488888888888888812121212121212121212121212121212121216161616161616161616161618181818243636363648484848727272108108216
order1233333466666883333666612121212122424242424242424242441212121212122424242424242424161648484848484848484848484848484848121212121212121212121212246648122424121212124121216162
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11111-1-1-1-1111-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111111111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-111-1
χ611111111111111111111111111111111111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ711111111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-11
χ811111111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1
χ92222222222222-2-22222222222222-2-2-2-2-2-2-2-2-2-20002222-2-2-2-2-2-2-2-200000000000000000000000000000022220-22-2-20000000000
χ102222222222222-2-22222222222222-2-2-2-2-2-2-2-2-2-20002222-2-2-2-2-2-2-2-2000000000000000000000000000000-2-2-2-202-2220000000000
χ112222222-2222220022222222-2-2-2-2-20000000000000-2-2-2-2000000002−222222222−2−2−2−2−2−2−2−20000000000002-22200-20000000002−20
χ122222222-2222220022222222-2-2-2-2-20000000000000-2-2-2-2000000002−222222222−2−2−2−2−2−2−2−2000000000000-22-2-2002000000000−220
χ132222222-2222220022222222-2-2-2-2-20000000000000-2-2-2-200000000−22−2−2−2−2−2−2−2−2222222220000000000002-22200-2000000000−220
χ142222222-2222220022222222-2-2-2-2-20000000000000-2-2-2-200000000−22−2−2−2−2−2−2−2−222222222000000000000-22-2-20020000000002−20
χ15222222-122222-122-1-1-1-1-1-1-1-12222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-122-1-102-1-1-100002-1-1000
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χ3222-1-12-122-1-12-1222-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1222-1-12-1-1-1-1-122-1-1-2-21111-2-2111111-2-211-1-12-1-1-12-1-1-12-10000-2000011-21000000
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χ3622-1-1-1222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-1-1-1-122-2-2111111-2-2111111-2-2-1-1-12-1-1-12-1-1-120000-20000111-2000000
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χ1008-8-4-48-4-4044-844−424222-42-2-24-20000022−2222−2222−22−424222−220000000−22−2222−22−220000000000000000000000000000000000000000000000000
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χ1028-8-4-4-48-40444-84−4242222-4-2-2-240000022−2222−2222−2222−22−42420000000−22−22−2222−220000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.