Finite Group Databasebeta

← Group #13168511

Character table — Group #13168511

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212223666121212121212121212121212444446666121212124444444466121212121212121212121212121212121212241212121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-11-1-1-1-1-1-111-1-1-11-1
χ311111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-111-1-1111-1-11111-111-1-1-1-111111-111-1-1-1-1-1-1-1-11-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ51111111111111111111111111111111-1-11111111111111111-11111-1-1-1-11111-1-111-1-111-1-1-111111-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-11-111-1-1-1-1-1-1111-11
χ71111111111111111111111111111111-1-11111111111111111-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-111
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1111111-11-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1111111-1-1-1-111-11-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-11111111-1-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-11111-1-111-1-111-1-1-11-1-1-1-11111-1-1-1111-1-111-1-111-11-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-11111-1-11-111-11-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-11111-1-1-1-1-1-111-1-111-11-1-11-11111-1-111-1-111-1-111-1-1-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-11111-1-1-1-111-1111-1-111-1-1-1-1-111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-11111-1-11111-1-11-1-1-1-1-11111-1-11-11
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-111-1-11111-1-11-11-1111111-1-111-1-111-1-11111-1-11111-1-1-1
χ17222222-122-1-1222-122-1-122-1-12-1-1-12-12222-1-1-1-1-1222-1-1-1-1-1-1-1-12002222-1-1-1-10000002200-1-1-10022-120-1-10000-1-1-1-120-1-100000000-100
χ18222222-122-1-1222-122-1-122-1-12-1-1-12-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1200-2-222-1-111000000-2-200-1-1-100-2-2120-1-100001111-201100000000100
χ19222222-122-1-1222-122-1-122-1-12-1-1-12-122-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-20022-2-211-1-1000000-2-2001110022-1-20110000-1-1-1-1-201100000000100
χ20222222-122-1-1222-122-1-122-1-12-1-1-12-122-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-200-2-2-2-21111000000220011100-2-21-20110000111120-1-100000000-100
χ21222222-122-1-1222-122-1-1-22-1-12-1-1-12-1-2-222-1-1-1-11-2-2-211111111-2002-222-1-1-1-10000002200-1-11002-21-20110000-1-111-20-1-100000000100
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χ24222222-122-1-1222-122-1-1-22-1-12-1-1-12-1-2-2-2-2-1-1-1-11-2-2-211111111200-22-2-21111000000220011-100-22-120-1-1000011-1-1-20-1-100000000100
χ2522222-12-1222-1222-1-12-12-12-1-12-1-1-122222-1-1-1-12-1-1-122-1-1-1-1-1-122200-1-12200-1-122000000-1-1222000-1-1-1-1-1-1-1-1000002000000-1-1000-10
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χ2722222-12-1222-1222-1-12-12-12-1-12-1-1-1222-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2220011-2-200-1-1-2-200000011-2220001-111-1-1-1-100000-20000001100010
χ2822222-12-1222-1222-1-12-12-12-1-12-1-1-1222-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-20011-2-200112200000011-2-2-200011111111000002000000-1-1000-10
χ2922222-12-1222-1222-1-12-1-2-12-1-12-1-1-12-2-222-1-1-1-1-2111-2-2111111-22-200-1-12200-1-122000000-1-1-22-20001111-1-11100000-2000000-1-100010
χ3022222-12-1222-1222-1-12-1-2-12-1-12-1-1-12-2-222-1-1-1-1-2111-2-2111111-2-2200-1-1220011-2-2000000-1-1-2-220001-11111-1-100000200000011000-10
χ3122222-12-1222-1222-1-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-1-2111-2-211111122-20011-2-200-1-1-2-20000001122-2000-11-1-1-1-11100000200000011000-10
χ3222222-12-1222-1222-1-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-1-2111-2-21111112-220011-2-2001122000000112-22000-1-1-1-111-1-100000-2000000-1-100010
χ332222-1222-1222-1-122-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1022220000222200220022000-1-1-1-120200-1-1-1-1-1-1-1-10000-1-1-1-10000000
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χ352222-1222-1222-1-122-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-10-2-222000022-2-200-2-200-2-200011-1-120-2001111-1-1-1-1000011110000000
χ362222-1222-1222-1-122-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-10-2-2-2-20000-2-2-2-2002200220001111-20-200111111110000-1-1-1-10000000
χ372222-1222-1222-1-122-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-2111102-22-20000222200-2-20022000-11-11-20-200-1-111-1-1110000-1-1110000000
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χ402222-1222-1222-1-122-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-211110-22-220000-2-2-2-200-2-200220001-11-12020011-1-111-1-10000-1-1110000000
χ4122-2-2222-2-2-22-22-2-222220-22-2-2-2-222-2000022-2-200000000000000000000000002-2002i−2i2i−2i00000000000000000000002i−2i2i−2i002-200000
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χ5244444-2-2-24-2-2-244-2-2-2-21-4-2-21-2-211-2-2-4-4-4-41111222222-1-1-1-1-1-1400002222000000000000-1-1-200000-201100000000000000000000000
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χ1028-8-88-48-48444-84-4-4-8-42-40-4-2-44-2444200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-44-8-844-4842-4-4024-4-2444-2-400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444444-4-4422202-22-2-2-2-2-220000-11-110000006i−6i−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444444-4-4422202-22-2-2-2-2-220000-11-11000000−6i6i3i−3i3i−3i00000000000000000000000000000000000000000000000000000000

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