Finite Group Databasebeta

← Group #13172017

Character table — Group #13172017

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666623336666666666666666622224466663666666666666244666666666666666612121212121244446661212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1-1-11111111111111111111111-1-1-1-1-11-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111-1-11-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-1-111111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-11111-1-1-1-111-1-111-1-111111-1-1-111-1-1-1-11-1-1111-1-111111-1-1-1
χ101111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-111111-1-1-1-1-1-1-1111
χ111111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-11-1-1-111-1-1-1-11-111
χ121111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1111-1-11111-11-1-1-1-1111111-11-1-1
χ131111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-1-1-1111111-1-1111111111-1-1-111-1-1-1-1-11-1-1-1-11111-1-1-11-11
χ141111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1111-11-1-1-111-1-1111-11-1
χ151111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-111111-1-1-1-111-111-1
χ161111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1111-1-111111-1-1111-1-111-1-11-1-11
χ17222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-12222002222-1222-1-1-1-1-1-1-1-1-12022222-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-10-120000-1-1220000000000-1-100
χ18222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-12222002222-1222-1-1-1-1-1-1-1-1-1-20-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1000000000011101-2000011-2-200000000001100
χ19222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-120222-2-21111111111110000000000-1-1-10-120000-1-1-2-200000000001100
χ20222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-2-2-2-2-2111111111111000000000011101-2000011220000000000-1-100
χ21222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-122-2-2002222-1-2-2-211-1-1-1111120-222-2-2-1-111-1-1-1-111110000000000-1-1-101-20000112-20000000000-1100
χ22222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-122-2-2002222-1-2-2-211-1-1-11111-202-2-2-2-2-1-111-1-1-1-1111100000000001110-120000-1-1-2200000000001-100
χ23222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-1-2-22200-2-2-2-2-1-2-2-211-1-1-1111120-2222211-1-11111-1-1-1-10000000000-1-1-101-2000011-2200000000001-100
χ24222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-1-2-22200-2-2-2-2-1-2-2-211-1-1-11111-202-2-22211-1-11111-1-1-1-100000000001110-120000-1-12-20000000000-1100
χ2522222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-12-1-122-1-1-1-1-1-1-102000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000200-1-1-1-1000002-1-1-1-100000000
χ2622222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-122222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-10-2000-1-12222-1-1-1-1-1-1-1-11111-2-2-2-200000-200111100000-2111100000000
χ2722222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-2221111-12-1-122-1-1-1-1-1-1-10200011-2-2-2-211111111-1-1-1-122-2-200000200-1-1-1-100000-2111100000000
χ2822222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-200011-2-2-2-2111111111111-2-22200000-2001111000002-1-1-1-100000000
χ2922222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-1222-2-222-1-1-1-1-1-211-2-2-1-1-111110-20001122-2-2-1-1-1-11111-1-11122-2-200000-200-1-111000002-1-11100000000
χ3022222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-1222-2-2-2-2-1-1-1-1-1-211-2-2-1-1-11111020001122-2-2-1-1-1-1111111-1-1-2-2220000020011-1-100000-211-1-100000000
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χ3222222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-12-2-222-2-21111-1-211-2-2-1-1-1111102000-1-1-2-2221111-1-1-1-111-1-1-2-2-2-20000020011-1-1000002-1-11100000000
χ332222-1222-12-12222-12-1-122222-1-1-12222222-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1000000000000002222-1-100222-1-1-12-1-1-1-1-1-1-100200000-1-10000-10
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χ362222-1222-12-12222-12-1-122222-1-1-12222222-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21100000000000000-2-2-2-2110022-2111-2111111100200000-1-10000-10
χ372222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000220000-111111-1-1-111112-2-2-1-10000000000000022-2-2-1-100222-1-11-21-1-1111100-200000-1-1000010
χ382222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000220000-111111-1-1-11111-2-22110000000000000022-2-2-1-100-2-2-21112-1-1-111-1-100200000110000-10
χ392222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000-2-20000-111111-1-1-1111122-2-1-100000000000000-2-2221100-2-22-1-1-1-2111-1-11100200000110000-10
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χ4122-2-2222-22-2-22-22-2-202220000-22-22-2-200002-2-22-2000022-2-22000002-2-2000000000002-20022-2-20000000000002i−2i000000000000000000002i−2i2i−2i0000
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χ452-22-22222-2-22-22-2-2-2022200002-22-22-20000-2-2-2002-22i−2i0000200000-22-20000000002-2002-2000022-2-22i−2i002i−2i2i−2i000000002i−2i00000000002i−2i00000000
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χ492-22-22-12-1-2-22-2211-20-12-1−i3i300-1-221-11−i3−i3i3i311-2002-22i−2i−i3i3−i3i3-10−i3i3001-11−i3−i3i3i300000-11002-2−i3i3−i3i3-1-111−ii3−32i−2i2i−2i00000000−ii3−30000003−3−ii00000000
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χ1178-8-88-4-4-444-44444-4-40222004i3−4i3-2-2-2-2-22−2i32i32i3−2i3-2220000000000-1000−2i32i311-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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