Finite Group Databasebeta

← Group #13171962

Character table — Group #13171962

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666233366666666644443666666666666666644441212121212121212121212122244121212121212121212121212121212121212444466121212124444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-111-1-1111111-1-1-1-1-1-11-1111-111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-111111111111111111-1111111111-1-1-1-111-1-111-111-1111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-11-1
χ41111111111111111111111111111111-1-111111111111111111-1-11-111-1-111-1-1-1-1-1-111-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-11
χ511111111111111111111111111111-1-1111111111111111111111-11-1-111-1-111111111-1-111-11-11-1-1-1-111111111-1-11-111-1-1-1-1-1-1-1-1-1-11
χ611111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1111111-11-1
χ711111111111111111111111111111-1-1-1-111111111111111111-11-11-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-11111-11-11-1-111-1-111111-1-1
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
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-111-1-11111111111-1-1-1-1-1-1-1111-1-111-1-111-1-11-1-111111-1-111-1-1-11-1
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111111-1-1-1-111-11-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-111-1-11
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11-1-11-1111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-111111
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111111-1-1-1-1-1-1111111-11-1-111-1-1-1-111-1-111-11-1-111-1-11111-1-11-1-1
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-111-1-11111-1-111-1-1-11-1-111-1-111-1-1111-1-1
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-111111-1-1-1-1-1-1-111-1-1111
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-11
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-111-1-1111-1-111111-1-1-1-111-11-1
χ17222222-1-1-1222222-122-1-12-1-122-1-1-1-10022-122-122-1-1-1-1-1-1-1-1-1-1-1220200220022-1-1-1-12200-1-102020000-1-1-1-1-1-1-1-10020-1-10000000000-1
χ18222222-1-1-1222222-122-1-12-1-122-1-1-1-10022-122-122-1-1-1-1-1-1-1-1-1-1-12-20-200-2-20022-1-111-2-200-11020-20000-1-1-1-1111100-201100000000001
χ19222222-1-1-1222222-122-1-12-1-122-1-1-1-100-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-2202002200-2-211-1-1-2-2001-10-20200001111-1-1-1-100-201100000000001
χ20222222-1-1-1222222-122-1-12-1-122-1-1-1-100-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-2-20-200-2-200-2-211112200110-20-20000111111110020-1-10000000000-1
χ21222222-1-1-1222222-1-22-1-12-1-122-1-1-1-10022-1-2-21-2-21111-1-1-11111-220-200-2-20022-1-1-1-12200110-2020000-1-111-1-11100-20-1-100000000001
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χ24222222-1-1-1222222-1-22-1-12-1-122-1-1-1-100-2-2-1-2-21-2-21111-1-1-111112-202002200-2-211112200-1-1020-2000011-1-111-1-100-20-1-100000000001
χ2522222-12222-122-1-122-12-1-12-1-1-122-1-12200-12-12-1-122-1-1-1-1-1-1-1-1-1022222-1-1-1-1000022002202-102-1-1-1-1-10000-1-1-1-120000000-1-100000-10
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χ2722222-12222-122-1-122-12-1-12-1-1-122-1-1-2-200-12-12-1-122-1-1-1-1-1-1-1-1-102-22-2-2-1-11100002200-2-20210-2-111110000-1-1-1-1-20000000110000010
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χ2922222-12222-122-1-12-2-12-1-12-1-1-122-1-12200-1-21-211-2-211-1-1-1111102-2-22211-1-100002200-2-20-210-2-1-1-1110000-1-111200000001100000-10
χ3022222-12222-122-1-12-2-12-1-12-1-1-122-1-12200-1-21-211-2-211-1-1-111110-2-2222-1-1-1-10000-2-200220210-21-1-111000011-1-1-20000000-1-10000010
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χ362222-12222-12-1-12222-1-12-1-12-1-1-1-122-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-20-201100-2-211-2-2000000-20-2110111111110000020200-1-1000000-100
χ372222-12222-12-1-1222-2-1-12-1-12-1-1-1-1222222-11-2-21111-2-2-1-1-11111-20-20-1-10022-1-122000000-20-2110-1-111-1-11100000-20200-1-1000000100
χ382222-12222-12-1-1222-2-1-12-1-12-1-1-1-12222-2-2-11-2-21111-2-2-1-1-1111120-20-1-1002211-2-200000020-2-110-1-11111-1-10000020-20011000000-100
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χ412-22-2222-2-2-2-22-22-2202222-2-2-2-22-22-22i−2i0020000000002-2-2000000002i−2i002i−2i0000002-2000000002i−2i000000000000002-200002i−2i00000
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χ1038-8-88-4-488-84-44-444-802-4-4-2-442-2444-400002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444-44-44440222-22-22-2-2-2-220000-1000006-6001-11-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444-44-44440222-22-22-2-2-2-220000-100000-66001-113-3-330000000000000000000000000000000000000000000000000000000

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