Finite Group Databasebeta

← Group #13167982

Character table — Group #13167982

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order12223336666666663334666666666224444366612121212121212121212121212244666612121212121212124444446666661212121212121212121212124444244121212121212612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111111111111111-111111-1-111-1-11111-1-1-1-11111111-1-1111-1-111-1-1-1-1-1-1-11-1-1-111-1-1-11-1-1
χ31111111111111111111111111111111-1-1111111111111111111111-1111111-1-111-1-1-1-111-1-1111111-111-1-1-111-1-111-1-1-1-11-1-111-1-1-1-11-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-111
χ511111111111111111111111111111-1-1111111111111111111111-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-111-1-11-1
χ611111111111111111111111111111-1-111-1-111111111111111111-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-111111-1-111-1-1-1-11-1-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-11-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-11-1-1-111-1-1-11-11
χ811111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-11-11-1-111-1-11-111
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111111111-1-1-1-1-11111-1-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-11
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-111-1-1-1-1-111111111-11111-1-1-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-111-1-1-1-111-1-1111-1-111111-1-1-1-111111-11-1-111-1-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-1-122-122-1222-1-122-1-1-1-12-12-1220022-1-1-1-1-122-1-122-1-1-1-1-1-122022-1-12200-1-1000022002-1-1-1-1-10-12000-1-100-1-10000200-1-10000-1000
χ18222222-1-122-122-1222-1-122-1-1-1-12-12-12200-2-2-1-1-1-1-122-1-122-1-1-1-1-1-12-2022-1-1-2-200110000-2-2002-1-1-1-1-101-20001100110000-2001100001000
χ19222222-1-122-122-1222-1-122-1-1-1-12-12-1-2-20022-1-1-1-1-122-1-122-1-1-1-1-1-1-220-2-2112200-1-10000-2-200-2111110-12000-1-100-1-10000-2001100001000
χ20222222-1-122-122-1222-1-122-1-1-1-12-12-1-2-200-2-2-1-1-1-1-122-1-122-1-1-1-1-1-1-2-20-2-211-2-2001100002200-21111101-20001100110000200-1-10000-1000
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χ23222222-1-122-122-1222-1-1-22-1-1-1-12-12-1-2-20022-1-1-1-11-2-211-2-21111112-20-2-2112200-1-10000-2-2002-111-1-101-2000-1-100110000200110000-1000
χ24222222-1-122-122-1222-1-1-22-1-1-1-12-12-1-2-200-2-2-1-1-1-11-2-211-2-2111111220-2-211-2-20011000022002-111-1-10-120001100-1-10000-200-1-100001000
χ2522222-1222-122-12-12-12-12-12-1-1-1-12-12222200-1-1-1-122-1-1-1-1-122-1-1-1-1202-1-122002200-1-1220000-12-1-1-1-1-1002-1-100-1-100000002000-1-1000-100
χ2622222-1222-122-12-12-12-12-12-1-1-1-12-1222-2-200-1-1-1-122-1-1-1-1-122-1-1-1-120-2-1-12200-2-20011-2-20000-12-1-1-1-1100-21100110000000-200011000100
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χ2822222-1222-122-12-12-12-12-12-1-1-1-12-12-2-2-2-200-1-1-1-122-1-1-1-1-122-1-1-1-1-20-211-2-200-2-200112200001-21111100-211001100000002000-1-1000-100
χ2922222-1222-122-12-12-12-1-2-12-1-1-1-12-12222200-1-1-1-1-2-211111-2-21111-20-2-1-122002200-1-12200001-2-1-111100-21100-1-10000000-2000-1-1000100
χ3022222-1222-122-12-12-12-1-2-12-1-1-1-12-1222-2-200-1-1-1-1-2-211111-2-21111-202-1-12200-2-20011-2-200001-2-1-111-1002-1-100110000000200011000-100
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χ352222-1222-122-1222-1-1-122-1-1222-1-1-1-100-2-222-1-1-1-12-1222-1-1-1-1-1-1-1-102-20000-1-11122-2-20000-2-2000000-22-1111-1-111-1-1000000-20000110010
χ362222-1222-122-1222-1-1-122-1-1222-1-1-1-100-2-2-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-10-2-200001111-2-2-2-2000022000000-2-2111111111100000020000-1-100-10
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χ402222-1222-122-1222-1-1-12-2-1-1222-1-1-1-100-2-2-2-2-1-1-1-1-21-2-2-21111111102200001111-2-2-2-200002200000022-1-1-1-11111-1-1000000-20000-1-10010
χ4122-2-2222-2-2-222-2-22-22220-2-2-2-22-2-2222-200002-2-2200000000000000002-22-20000000000002i−2i002-2000000000000002i2i−2i−2i00000002i−2i0000
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χ9888-8-8-4-48-8448-44-8-442-4-40-2444-4-242-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-4444-4-444-442220-2-2-2-22-2-222000000-111-10006-60000-3-33300000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4444-4-444-442220-2-2-2-22-2-222000000-111-1000-66000033-3-300000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-4-4-8-44-84448-4-4204-42-2-2-444400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-4-44844-84-8-4-42-4042-444-4-24-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-44-444444-42220-222-2-22-2-2-2000000-1-111000006i−6i00−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-44-444444-42220-222-2-22-2-2-2000000-1-11100000−6i6i003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-44844-8-4-44-8-4-420-44-22-24-4440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48-8-44-84-48442-4-40244-44-2-4-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-4444-4-44422202-2-22-2-22-2-2000000-11-1100000006i−6i−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-4444-4-44422202-2-22-2-22-2-2000000-11-110000000−6i6i3i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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