Finite Group Databasebeta

← Group #13168582

Character table — Group #13168582

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666663334666666666444436661212121212121212121212121224446612121212121212121212444466612121212121212121212121212121244441212121212122244121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-1-1-111-1-1111111-1-1-1-1-1-1-11111-111-1-11111111-11-111-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-11111111111111111111-1111-1-11111-1-11111-1-1111-11-111-1-111-1-11111-1-1-11-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1-11
χ511111111111111111111111111111-1-111111111111111111111-111111111-1-111-1-1-1-1111111-11-11111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-1-11-1-1-111-1-1-1-111-1-111-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1-11-1-111-1-111111-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-11-11-111-1-1-1-11111-11-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-111-1-1-1-1-1-1-11-1-1111111-1-11-1-1111-1-11111-1-11-1-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-11111111111-11-1-111-1-1-1-111-1-1-1-11-1-1-1111111-1-1-11-1
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-11-11-111111-1-111-1-1-1111-1-1-1-1-1-1-1-111111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1111-11-11-1-1-1-1-111-1-111-1111-1-1-1-1-1-111-1-1111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-11111-1-1-1-11-111-1-11111-1-111-1-11-1-1-11111-1-111-11-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1111-1-1111-1-111-1-1111-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1111111111-1-1-1-11111-1-11111-1-111-1-1-1-11
χ17222222-12-1-122222-12-1-122-1-12-1-1-1-120022-1-1-1-1-12222-1-1-1-1-1-1-1-1202222-1-1-1-10022000022-1-1-1-10202-1-1-1-1-1-1000002000000-1-1000000-1
χ18222222-12-1-122222-12-1-122-1-12-1-1-1-120022-1-1-1-1-12222-1-1-1-1-1-1-1-1-202-2-2-2-1-11100220000-2-2111-1020-2-1-111-1-100000-2000000110000001
χ19222222-12-1-122222-12-1-122-1-12-1-1-1-1200-2-2-1-1-1-1-12222-1-1-1-1-1-1-1-120-222211-1-100-2-20000-2-2-1-1-110-20211-1-11100000-2000000110000001
χ20222222-12-1-122222-12-1-122-1-12-1-1-1-1200-2-2-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-2-2-2-2111100-2-200002211110-20-2111111000002000000-1-1000000-1
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χ22222222-12-1-122222-12-1-1-22-1-12-1-1-1-120022-1-1-1-11-2-2-2-211111111-20-22-2-2-1-1-1-1002200002211110-20211-1-1-1-100000-2000000-1-10000001
χ23222222-12-1-122222-12-1-1-22-1-12-1-1-1-1200-2-2-1-1-1-11-2-2-2-211111111202-222111100-2-2000022-1-1-1-1020-2-1-1111100000-2000000-1-10000001
χ24222222-12-1-122222-12-1-1-22-1-12-1-1-1-1200-2-2-1-1-1-11-2-2-2-211111111-2022-2-211-1-100-2-20000-2-2111-10202-1-1-1-11100000200000011000000-1
χ2522222-12-12222-12-12-12-12-12-1-1-12-12-12200-1-1-1-12-12-1-1-1-122-1-1-1-12202-1-100222200-1-122002-1-1020-1-100-1-100-1-1-1-1000200-1-1000000-100
χ2622222-12-12222-12-12-12-12-12-1-1-12-12-12200-1-1-1-12-12-1-1-1-122-1-1-1-1-220-21100-2-22200-1-1-2-200-211020-11001100-1-1-1-1000-20011000000100
χ2722222-12-12222-12-12-12-12-12-1-1-12-12-1-2-200-1-1-1-12-12-1-1-1-122-1-1-1-12-202-1-10022-2-20011-2-2002-1-10-201-100-1-1001111000-20011000000100
χ2822222-12-12222-12-12-12-12-12-1-1-12-12-1-2-200-1-1-1-12-12-1-1-1-122-1-1-1-1-2-20-21100-2-2-2-200112200-2110-20110011001111000200-1-1000000-100
χ2922222-12-12222-12-12-12-1-2-12-1-1-12-12-12200-1-1-1-1-21-21111-2-211112-20-2-1-100-2-22200-1-122002-1-10-2011001100-1-111000-200-1-1000000100
χ3022222-12-12222-12-12-12-1-2-12-1-1-12-12-12200-1-1-1-1-21-21111-2-21111-2-2021100222200-1-1-2-200-2110-201-100-1-100-1-11100020011000000-100
χ3122222-12-12222-12-12-12-1-2-12-1-1-12-12-1-2-200-1-1-1-1-21-21111-2-21111220-2-1-100-2-2-2-20011-2-2002-1-1020-1100110011-1-100020011000000-100
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χ332222-122222-1-12-122-1-122-1-12-12-12-1-12222-1-1-1-122-1-1-122-1-1-1-1-1-10220002200-1-1-1-12200000002-1-120-1-100-1-1-1-1-1-12020-1-1000000000-10
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χ352222-122222-1-12-122-1-122-1-12-12-12-1-1-2-222-1-1-1-122-1-1-122-1-1-1-1-1-10-22000220011-1-1-2-2000000021-1-20-1-100-1-11111-20-201100000000010
χ362222-122222-1-12-122-1-122-1-12-12-12-1-1-2-2-2-2-1-1-1-122-1-1-122-1-1-1-1-1-10-2-2000-2-2001111-2-20000000-211-2011001111112020-1-1000000000-10
χ372222-122222-1-12-122-1-12-2-1-12-12-12-1-12222-1-1-1-1-2-2111-2-21111110-2-20002200-1-1-1-1220000000-211-201100-1-1-1-11120-20-1-100000000010
χ382222-122222-1-12-122-1-12-2-1-12-12-12-1-122-2-2-1-1-1-1-2-2111-2-21111110-22000-2-200-1-11122000000021-1-20-1-10011-1-111-202011000000000-10
χ392222-122222-1-12-122-1-12-2-1-12-12-12-1-1-2-222-1-1-1-1-2-2111-2-211111102-2000220011-1-1-2-20000000-2-11201100-1-111-1-1-202011000000000-10
χ402222-122222-1-12-122-1-12-2-1-12-12-12-1-1-2-2-2-2-1-1-1-1-2-2111-2-2111111022000-2-2001111-2-200000002-1-120-1-1001111-1-120-20-1-100000000010
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χ4222-2-2222-2-222-2-2-22-22220-2-2-2-2-222-22002i−2i22-2-200000000000000000002i−2i00002i−2i00-22000000000000002i−2i0000000000-220000−2i2i000
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χ452-2-22222-22-2-2-222-2-22220-2-2-222-2-22-22i−2i002-2-22000000000000000000000002i−2i002i−2i002i−2i000000000000002i−2i00000000002i−2i2-200000
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χ1018-88-8-4-4-4-4444-4444-42220222-2-2-2-2-2-20000-11-1100000−6i6i003i−3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-44-44-8-8-4844-4-42044-2-424-2-4400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4-8-44448-4-84-42-404-24-4-4-242400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-4444-4-4442220-2-2-222-2-22-20000-111-10006-60000-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-4444-4-4442220-2-2-222-2-22-20000-111-1000-6600003-3-330000000000000000000000000000000000000000000000000000000

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