Finite Group Databasebeta

← Group #13168558

Character table — Group #13168558

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666663334666666666444436661212121212121212121212121244441212121212121212121212124444121212121212121212121212121212121212244466121212122244121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-111-1-1-1-1111111-1-1-1-111-111-111-1-111-1-111111-11-111-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-11111111111111111111-11-1-111111111-1-1-1-111-1-11111-1-111-1-1111111-1-1-11-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1-11
χ511111111111111111111111111111-1-111111111111111111111-111111111-1-1-1-11111-1-1111-1-1111111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-1-11-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11-11-111-1-1-1-11111-11-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111111-1-111-1-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-11-1-1-111-1-1-1-11111-1-11-1-1111-1-11111-1-11-1-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-1111111-1-1-11-1-11111-1-111-1-1-1-11-1-1-1111111-1-1-11-1
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-111111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-1-1-1-111-1-1111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111111-1-1111-111-1-1-1-111-1-111-1-11-1-1-11111-1-111-11-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-111-1-111-1111-1-11111-1-1-1-1111-1-1111-1-111-1-1111-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-11
χ17222222-1-122-1222-122-1-122-1-1-12-12-1-12222-1-1-1-1-122-1-122-1-1-1-1-1-1022022000022-1-1-1-10000-1202-10-1-100-1-100-1-1-1-12020-1-1000000000-10
χ18222222-1-122-1222-122-1-122-1-1-12-12-1-122-2-2-1-1-1-1-122-1-122-1-1-1-1-1-102-20-2-2000022-1-11100001-202-1011001100-1-1-1-1-20-201100000000010
χ19222222-1-122-1222-122-1-122-1-1-12-12-1-1-2-222-1-1-1-1-122-1-122-1-1-1-1-1-10-220220000-2-211-1-10000-120-210-1-100-1-1001111-20-201100000000010
χ20222222-1-122-1222-122-1-122-1-1-12-12-1-1-2-2-2-2-1-1-1-1-122-1-122-1-1-1-1-1-10-2-20-2-20000-2-2111100001-20-2101100110011112020-1-1000000000-10
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χ24222222-1-122-1222-122-1-1-22-1-1-12-12-1-1-2-2-2-2-1-1-1-11-2-211-2-21111110220-2-20000-2-211110000-1202-101100-1-10011-1-120-20-1-100000000010
χ2522222-1222-122-1-122-12-12-12-1-1-12-12-12200-1-1-1-122-1-1-1-1-122-1-1-1-1220200-1-122-1-12200002200-1-12200-1-100-1-1-1-1-1-1000200-1-1000000-100
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χ2822222-1222-122-1-122-12-12-12-1-1-12-12-1-2-200-1-1-1-122-1-1-1-1-122-1-1-1-1-2-20-20011-2-211-2-20000220011-2-2001100111111000200-1-1000000-100
χ2922222-1222-122-1-122-12-1-2-12-1-1-12-12-12200-1-1-1-1-2-211111-2-211112-20-200-1-1-2-2-1-1220000220011-2200-1-10011-1-111000-200-1-1000000100
χ3022222-1222-122-1-122-12-1-2-12-1-1-12-12-12200-1-1-1-1-2-211111-2-21111-2-202001122-1-1220000-2-200-11-2-2001100-1-1-1-11100020011000000-100
χ3122222-1222-122-1-122-12-1-2-12-1-1-12-12-1-2-200-1-1-1-1-2-211111-2-21111220-200-1-1-2-211-2-20000-2-2001-12200-1-1001111-1-100020011000000-100
χ3222222-1222-122-1-122-12-1-2-12-1-1-12-12-1-2-200-1-1-1-1-2-211111-2-21111-220200112211-2-200002200-1-12-2001100-1-111-1-1000-200-1-1000000100
χ332222-1222-122-1222-1-1-122-1-122-1-1-1-120022-1-1-1-12-1222-1-1-1-1-1-1-1-12022-1-122-1-100002222002-1200-1-1-1-1-1-1-1-1-1000002000000-1-1000000-1
χ342222-1222-122-1222-1-1-122-1-122-1-1-1-120022-1-1-1-12-1222-1-1-1-1-1-1-1-1-202-2-1-1-2-211000022-2-2002-1-2001-1-111-1-11100000-2000000110000001
χ352222-1222-122-1222-1-1-122-1-122-1-1-1-1200-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-120-221122-1-10000-2-2-2-200-21200-111-1-111-1-100000-2000000110000001
χ362222-1222-122-1222-1-1-122-1-122-1-1-1-1200-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-1-20-2-211-2-2110000-2-22200-21-200111111111000002000000-1-1000000-1
χ372222-1222-122-1222-1-1-12-2-1-122-1-1-1-120022-1-1-1-1-21-2-2-21111111120-2-2-1-12211000022-2-200-21-200-1-1-1-1-1111100000200000011000000-1
χ382222-1222-122-1222-1-1-12-2-1-122-1-1-1-120022-1-1-1-1-21-2-2-211111111-20-22-1-1-2-2-1-10000222200-212001-1-11111-1-100000-2000000-1-10000001
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χ1038-8-88-4-48-8448-4-44-842-4-40-244-4-242-4400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444-4-4-44442220-2-2-22-2-222-20000-111-10006-60000-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444-4-4-44442220-2-2-22-2-222-20000-111-1000-6600003-3-330000000000000000000000000000000000000000000000000000000

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