Finite Group Databasebeta

← Group #13168538

Character table — Group #13168538

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666663334666666666444436661212121212121212121212121224446612121212121212121212444466612121212121212121212121212121244441212121212122244121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-11-1-11111-1-11111-1-1-1-1-1-1-11111-111-1-11111111-1-11-1-111-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-111111111111111111111-111-1-1111111-1-1-1-111111-11-111-1-111-1-11111-11-1-111-1-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-11-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-1-11-1-1-1-1-1111111-1-11
χ511111111111111111111111111111-1-111111111111111111111-1111111-1-111-1-11111-1-11111-11-11111111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-1-1-11-1-111-1-1-1-1-1-111-1-111-1-1-11-11-1-111-1-111-1-1-1-1-11-1-111-1-1-1-111111-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-11-1-11-1-111-1-11111-11-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1111111-1-1111-1-1-1-1-111-1-1-1-111-1-1-11-11-1-1111111-1-11-1-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1-111-1-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1-1-111-1-11
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-111111
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-11-11-11-1-1111111-1-11-1-1-111-1-11111-1-1-11-1
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111111-11-11-111-1-1-1-1-1-1111-1-1-111-1-111-1-111-11-1
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11-1111111-1-1-1-111111-1-1-1-1-1-1-111-1-1111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-11
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111111-1-11111-1-111-11-11-1-11111-1-1111-1-1
χ17222222-1222-1-1-12222-1-122-1-1-1-12-12-12200-1-1-1-12-12-1-1-1-122-1-1-1-122202200-1-1-1-122000022-1-1-10-102200-1-100-1-1-1-10200-1-100000000-100
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χ19222222-1222-1-1-12222-1-122-1-1-1-12-12-1-2-200-1-1-1-12-12-1-1-1-122-1-1-1-12-220220011-1-1-2-20000-2-2-1-1-1010-2200-1-10011110-2001100000000100
χ20222222-1222-1-1-12222-1-122-1-1-1-12-12-1-2-200-1-1-1-12-12-1-1-1-122-1-1-1-1-2-2-20-2-2001111-2-2000022111010-2-200110011110200-1-100000000-100
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χ2522222-12-12-122222-1-12-12-12-12-1-1-1-120022-1-1-1-1-12222-1-1-1-1-1-1-1-12022-1-122002200-1-122002-1-1-1020-1-1-1-1-1-1-1000000200000-1-1000000-1
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χ2822222-12-12-122222-1-12-12-12-12-1-1-1-1200-2-2-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-2-211-2-200-2-200112200-21110-201111111000000200000-1-1000000-1
χ2922222-12-12-122222-1-12-1-2-12-12-1-1-1-120022-1-1-1-11-2-2-2-21111111120-2-2-1-12200-2-200-1-122002-1-110-201-1-11111000000-200000-1-10000001
χ3022222-12-12-122222-1-12-1-2-12-12-1-1-1-120022-1-1-1-11-2-2-2-211111111-202-21122002200-1-1-2-200-21110-20-1-1-1-1-11100000020000011000000-1
χ3122222-12-12-122222-1-12-1-2-12-12-1-1-1-1200-2-2-1-1-1-11-2-2-2-21111111120-22-1-1-2-200-2-20011-2-2002-1-1-102011111-1-100000020000011000000-1
χ3222222-12-12-122222-1-12-1-2-12-12-1-1-1-1200-2-2-1-1-1-11-2-2-2-211111111-202211-2-2002200112200-211-1020-111-1-1-1-1000000-200000-1-10000001
χ332222-1222-12222-1-12-1-122-1-12-12-12-1-12222-1-1-1-122-1-1-122-1-1-1-1-1-1020200-1-12200-1-122000000022-1-10-1-100-1-1-1-1-1-1200200-1-10000000-10
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χ362222-1222-12222-1-12-1-122-1-12-12-12-1-1-2-2-2-2-1-1-1-122-1-1-122-1-1-1-1-1-10-20-20011-2-20011-2-20000000-2-21101100111111200200-1-10000000-10
χ372222-1222-12222-1-12-1-12-2-1-12-12-12-1-12222-1-1-1-1-2-2111-2-21111110-20-200-1-12200-1-1220000000-2-2110-1-10011-1-111-200200-1-1000000010
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χ402222-1222-12222-1-12-1-12-2-1-12-12-12-1-1-2-2-2-2-1-1-1-1-2-2111-2-211111102020011-2-20011-2-2000000022-1-101100-1-111-1-1-200200-1-1000000010
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χ1028-8-888-4-44-8-44-448-84-4-42044-2-424-2-4400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4844-4-88-8-4442-4-40-244-4-4-242400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444-44-44-4442220-2-2-222-2-22-20000-111-10006-60000-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444-44-44-4442220-2-2-222-2-22-20000-111-1000-6600003-3-330000000000000000000000000000000000000000000000000000000

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