Finite Group Databasebeta

← Group #13159326

Character table — Group #13159326

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222222222224444444444444444444444444444666688888888888888888888888888888888881212121212121212121212121212121212121818181824242424242424242727272736363636363654547272108108
order12223333344666666666666666333344666666666666121212121212121212128888121212121212121212121212121212121212121212121212121212121212121212124424242424242424242424242424242424888812121212121212122222442424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ5111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ6111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
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χ101-11-111111-1111111-1-1-1-1-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1iiiii−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i11111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i-1-111−ii-1-111-11−ii−ii
χ111-11-111111-1111111-1-1-1-1-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111iiiii−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiii-1-111i−i11-1-1-11i−i−ii
χ121-11-111111-1111111-1-1-1-1-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111iiiii−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-1-1-1-1-1-1-111111111-1-111−i−i−i−iiiii11-1-1−ii-1-1111-1−iii−i
χ131-11-111111-1111111-1-1-1-1-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii11111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii11-1-1−ii11-1-11-1−ii−ii
χ141-11-111111-1111111-1-1-1-1-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii11111111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiii-1-111i−i-1-111-11i−ii−i
χ151-11-111111-1111111-1-1-1-1-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-1-1-1-1-1-1-11111111111-1-1iiii−i−i−i−i-1-111−ii11-1-1-11−iii−i
χ161-11-111111-1111111-1-1-1-1-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-1-1-1-1-1-1-111111111-1-111iiii−i−i−i−i11-1-1i−i-1-1111-1i−i−ii
χ17222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-2-200000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000002222000000-2-20000
χ18222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-2-200000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000-2-2-2-2000000220000
χ1922222222-1222222-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-100002222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000222200000000000022-1-1-1-100-1-100
χ2022222222-1222222-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-100002222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2000000000000-2-21111001100
χ2122222222-1222222-12222-12222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000-2-2-2-21-2-2-2-21-1-1-1-1-1-1-1-111111111111111110000000000000000002222000000000000-2-2-1-1-1-1001100
χ2222222222-1222222-12222-12222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000-2-2-2-21-2-2-2-21-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-2-2-200000000000022111100-1-100
χ2322222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1222222-1-1-122-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100002-1-1-12-1-1-10000000000000000
χ2422222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-22-1-1-122-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111110000-2111-21110000000000000000
χ2522222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122222-2111-2-2111-22-1-1-12-1-1-1-2-2111111-2-2111111-2-222-1-1-1-1-1-122-1-1-1-1-1-10000-2111-21110000000000000000
χ2622222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-2-2111-2-2111-22-1-1-12-1-1-1-2-2111111-2-211111122-2-2111111-2-211111100002-1-1-12-1-1-10000000000000000
χ272222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-12-1-122222-12-1-12-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-10000-12-1-1-12-1-10000000000000000
χ282222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-12-1-12-2-2-2-2-12-1-12-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-2111100001-2111-2110000000000000000
χ292222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-12-12-1-1222221-211-21-211-2-12-1-1-12-1-111-2-2111111-2-21111-2-2-1-122-1-1-1-1-1-122-1-1-1-100001-2111-2110000000000000000
χ302222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-12-12-1-12-2-2-2-21-211-21-211-2-12-1-1-12-1-111-2-2111111-2-211112211-2-2111111-2-211110000-12-1-1-12-1-10000000000000000
χ312222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-12-122222-1-12-12-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-10000-1-12-1-1-12-10000000000000000
χ322222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-2-2-2-2-1-12-12-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-211000011-2111-210000000000000000
χ332222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12222211-21-211-21-2-1-12-1-1-12-11111-2-2111111-2-211-2-2-1-1-1-122-1-1-1-1-1-122-1-1000011-2111-210000000000000000
χ342222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-2-2-2-211-21-211-21-2-1-12-1-1-12-11111-2-2111111-2-211221111-2-2111111-2-2110000-1-12-1-1-12-10000000000000000
χ352222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1222222-1-1-122-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1220000-1-1-12-1-1-120000000000000000
χ362222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-2-2-2-2-1-1-122-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-20000111-2111-20000000000000000
χ372222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1222222111-2-2111-2-2-1-1-12-1-1-12111111-2-2111111-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1220000111-2111-20000000000000000
χ382222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-2-2-2-2111-2-2111-2-2-1-1-12-1-1-12111111-2-2111111-2-222111111-2-2111111-2-20000-1-1-12-1-1-120000000000000000
χ3922-2-22222200-2-2-2-2-2-2-2-2-2-2222222222002222-2-2-2-2-2-2-2-20000000000i2−i2i2−i2000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002-22-200i2−i2i2−i2000000
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χ4222-2-22222200-2-2-2-2-2-2-2-2-2-2222222222002222-2-2-2-2-2-2-2-20000000000−i2i2−i2i2000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002-22-200−i2i2−i2i2000000
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χ442-22-2222222-222222-2-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-222222-2-2-2-2-200000000000000-2-2-2-222220000000000000000000000000000000000000000000000-2-2220000002-20000
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χ492-22-22-1-1-12-222-1-1-12-2111-2-2111-22-1-1-12i−2i-21112-1-1-1-2111-2111-22-1-1-1222-2-22i−i−i−i2i−2iiii−2i2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2i−2i22-1-1-1-1-1-1-2-211111100002i−i−i−i−2iiii0000000000000000
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χ512-22-22-1-1-12-222-1-1-12-2111-2-2111-22-1-1-1−2i2i-21112-1-1-1-2111-2111-22-1-1-1222-2-2−2iiii−2i2i−i−i−i2i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i2i22-1-1-1-1-1-1-2-21111110000−2iiii2i−i−i−i0000000000000000
χ522-22-22-1-1-12-222-1-1-12-2111-2-2111-22-1-1-1−2i2i-21112-1-1-1-2111-2111-22-1-1-12-2-222−2iiii−2i2i−i−i−i2i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i2i−2i-2-211111122-1-1-1-1-1-100002i−i−i−i−2iiii0000000000000000
χ532-22-2-12-1-12-22-12-1-121-211-21-211-2-12-1-12i−2i1-211-12-1-11-2111-211-2-12-1-1222-2-2−i2i−i−i2ii−2iii−2i-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii2i−2i-1-122-1-1-1-111-2-211110000−i2i−i−ii−2iii0000000000000000
χ542-22-2-12-1-12-22-12-1-121-211-21-211-2-12-1-12i−2i1-211-12-1-11-2111-211-2-12-1-12-2-222−i2i−i−i2ii−2iii−2i-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii−2i2i11-2-21111-1-122-1-1-1-10000i−2iii−i2i−i−i0000000000000000
χ552-22-2-12-1-12-22-12-1-121-211-21-211-2-12-1-1−2i2i1-211-12-1-11-2111-211-2-12-1-1222-2-2i−2iii−2i−i2i−i−i2i-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i−2i2i-1-122-1-1-1-111-2-211110000i−2iii−i2i−i−i0000000000000000
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χ13188-8-88-4-4-4-400-84444-844448-4-4-4-4-422200-42224-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13288-8-8-48-4-4-4004-84444-8444-48-4-4-42-422002-422-24-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13388-8-8-4-48-4-40044-84444-844-4-48-4-422-420022-42-2-24-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13488-8-8-4-4-48-400444-84444-84-4-4-48-4222-400222-4-2-2-24-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-888-4-4-4-400-844448-4-4-4-4-84444-4222004-2-2-24-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8-88-48-4-4-4004-8444-48-4-4-44-84442-42200-24-2-2-24-2-22-4220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4-48-4-40044-844-4-48-4-444-84422-4200-2-24-2-2-24-222-420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4-4-48-400444-84-4-4-48-4444-84222-400-2-2-24-2-2-24222-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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