Finite Group Databasebeta

← Group #13172331

Character table — Group #13172331

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222222244444444444444444444444488888888881212121212121212121212121212121212121212121212121212121212121212121212121212181818182424242424242424363636363636363672727272108108
order122222333666666666666633366666666666666666666636666666662444441212121212121212121212121212121212121212121212121212121212121212444466661212121222441212121266121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-11-11-1-1-1-1-11-11-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111
χ511111111111111111111111111111111111111111111111111111111-11111-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-111-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11-1111
χ711111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11-11-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ91111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111-11-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-11
χ101111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111-1-11-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-11-1-1111-1-111-1
χ111111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-111-111-11-1
χ121111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111-11
χ131111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-11-11-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ141111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-111-111-1-11
χ151111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-111-11-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-1111-1-11-11
χ161111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-11-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-11-1
χ1722222222-1222222-12-122-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-12002220000-1-1-1-10000222200000000-1-1-1-1-1-1-1-100002-1-1-12-1-1-1020200000-10-100
χ1822222222-1222222-12-122-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1200-2-22000011110000-2-2-2-2000000001111111100002-1-1-12-1-1-10-20-20000010100
χ1922222222-1222222-12-122-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-20022-20000-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000-2111-21110-20-20000010100
χ2022222222-1222222-12-122-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-200-2-2-2000011110000-2-2-2-200000000111111110000-2111-2111020200000-10-100
χ212222222-1222222-12-122-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1222002-1-1-1-1000022220000-1-1-1-1-1-1-1-1000000000000-12-1-1-12-1-120200000-10-1000
χ222222222-1222222-12-122-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-12-2-200211110000-2-2-2-2000011111111000000000000-12-1-1-12-1-1-20-200000101000
χ232222222-1222222-12-122-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-22200-2-1-1-1-1000022220000-1-1-1-1-1-1-1-10000000000001-2111-211-20-200000101000
χ242222222-1222222-12-122-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-2-200-211110000-2-2-2-20000111111110000000000001-2111-21120200000-10-1000
χ25222222-122-1-1-1-1-12222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-102222022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-1000000
χ26222222-122-1-1-1-1-12222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1022-2-202222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2-2-20000000000001111000000
χ27222222-122-1-1-1-1-12222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-10-2-2220-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-20000000000001111000000
χ28222222-122-1-1-1-1-12222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-10-2-2-2-20-2-2-2-2-2-2-2-21111111111111111111111112222000000000000-1-1-1-1000000
χ292222-2-222-12-2-2-2-22-12-122-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-111-1-1-111112002-2-20000-1-111000022-2-200000000-1-1-1-1111100002-1-1-1-2111020-200000-10100
χ302222-2-222-12-2-2-2-22-12-122-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-111-1-1-11111200-22-2000011-1-10000-2-222000000001111-1-1-1-100002-1-1-1-21110-2020000010-100
χ312222-2-222-12-2-2-2-22-12-122-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-111-1-1-11111-2002-220000-1-111000022-2-200000000-1-1-1-111110000-21112-1-1-10-2020000010-100
χ322222-2-222-12-2-2-2-22-12-122-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-111-1-1-11111-200-222000011-1-10000-2-222000000001111-1-1-1-10000-21112-1-1-1020-200000-10100
χ332222-2-22-122-2-2-2-2-12-122-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-111-1-1-1111122-200-2-1-111000022-2-20000-1-1-1-11111000000000000-12-1-11-21120-200000-101000
χ342222-2-22-122-2-2-2-2-12-122-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-111-1-1-111112-2200-211-1-10000-2-22200001111-1-1-1-1000000000000-12-1-11-211-2020000010-1000
χ352222-2-22-122-2-2-2-2-12-122-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-111-1-1-11111-22-2002-1-111000022-2-20000-1-1-1-111110000000000001-211-12-1-1-2020000010-1000
χ362222-2-22-122-2-2-2-2-12-122-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-111-1-1-11111-2-2200211-1-10000-2-22200001111-1-1-1-10000000000001-211-12-1-120-200000-101000
χ372222-2-2-122-111112222-122-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-1-2-2-1-1-1111102-22-2022-2-222-2-2-1-111-1-111-1-1-1-11111-1-1-1-1111122-2-2000000000000-1-111000000
χ382222-2-2-122-111112222-122-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-1-2-2-1-1-1111102-2-22022-2-2-2-222-1-11111-1-1-1-1-1-111111111-1-1-1-1-2-22200000000000011-1-1000000
χ392222-2-2-122-111112222-122-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-1-2-2-1-1-111110-222-20-2-22222-2-211-1-1-1-1111111-1-1-1-1-1-1-1-11111-2-22200000000000011-1-1000000
χ402222-2-2-122-111112222-122-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-1-2-2-1-1-111110-22-220-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-122-2-2000000000000-1-111000000
χ412-2-222-2222-222-2-2-2-2-2-2-22222222-22-22-22-222-2-222-2-2-2-22-2-222-22-2-222-2-2000000000000000000000000000000000000002-22-20000000000002-22-2000000
χ422-2-222-2222-222-2-2-2-2-2-2-22222222-22-22-22-222-2-222-2-2-2-22-2-222-22-2-222-2-200000000000000000000000000000000000000-22-22000000000000-22-22000000
χ432-2-222-2-1221-1-111-2-2-2-2122-1-1-122-22-2-11-11-1-111-1-111-2-2211-12-2-111-1-111000000000000003−33−33−33−333−3−333−3−333−3−333−3−32-22-2000000000000-11-11000000
χ442-2-222-2-1221-1-111-2-2-2-2122-1-1-122-22-2-11-11-1-111-1-111-2-2211-12-2-111-1-111000000000000003−33−3−33−3333−3−333−3−3−3−333−3−333-22-220000000000001-11-1000000
χ452-2-222-2-1221-1-111-2-2-2-2122-1-1-122-22-2-11-11-1-111-1-111-2-2211-12-2-111-1-11100000000000000−33−333−33−3−3−333−3−33333−3−333−3−3-22-220000000000001-11-1000000
χ462-2-222-2-1221-1-111-2-2-2-2122-1-1-122-22-2-11-11-1-111-1-111-2-2211-12-2-111-1-11100000000000000−33−33−33−33−3−333−3−333−3−333−3−3332-22-2000000000000-11-11000000
χ472-2-22-22222-2-2-222-2-2-2-2-2222222-22-222-22-2-2-222-2-222-2-22-2-22-222-2-2-2-222000000000000000000000000000000000000002-2-220000000000002-2-22000000
χ482-2-22-22222-2-2-222-2-2-2-2-2222222-22-222-22-2-2-222-2-222-2-22-2-22-222-2-2-2-22200000000000000000000000000000000000000-222-2000000000000-222-2000000
χ492-2-22-22-122111-1-1-2-2-2-2122-1-1-12-22-22-11-1111-1-111-1-1-2-2211-1-22-11111-1-1000000000000003−3−333−3−3333−3−3−3−33333−3−3−3−3332-2-22000000000000-111-1000000
χ502-2-22-22-122111-1-1-2-2-2-2122-1-1-12-22-22-11-1111-1-111-1-1-2-2211-1-22-11111-1-1000000000000003−3−33−333−333−3−3−3−333−3−33333−3−3-222-20000000000001-1-11000000
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χ534444444-2-244444-2-2-2-24-2-24-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-21111111111400004000000000000000000000000000000000000-2-211-2-21100000000000000
χ544444444-2-244444-2-2-2-24-2-24-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-21111111111-40000-400000000000000000000000000000000000022-1-122-1-100000000000000
χ55444444-24-2-2-2-2-2-24-24-2-24-2-2-21-244-2-2-2-211-2-2-2-21111-2-2-2-211-2-211111110004400000-2-2-2-20000-2-2-2-2000000001111111100000000000000000000000000
χ56444444-24-2-2-2-2-2-24-24-2-24-2-2-21-244-2-2-2-211-2-2-2-21111-2-2-2-211-2-21111111000-4-40000022220000222200000000-1-1-1-1-1-1-1-100000000000000000000000000
χ57444444-2-24-2-2-2-2-2-24-24-2-24-21-2-2-2-24411-2-21111-2-2-2-2-2-2-21-21-2-21111111044000-2-2-2-20000-2-2-2-20000111111110000000000000000000000000000000000
χ58444444-2-24-2-2-2-2-2-24-24-2-24-21-2-2-2-24411-2-21111-2-2-2-2-2-2-21-21-2-211111110-4-40002222000022220000-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ594444-4-44-2-24-4-4-4-4-2-2-2-24-2-24-2-212222-2-2-2-222222222111-2-21-1-1111-1-1-1-140000-4000000000000000000000000000000000000-2-21122-1-100000000000000
χ604444-4-44-2-24-4-4-4-4-2-2-2-24-2-24-2-212222-2-2-2-222222222111-2-21-1-1111-1-1-1-1-40000400000000000000000000000000000000000022-1-1-2-21100000000000000
χ614444-4-4-24-2-222224-24-2-24-2-2-21-2-4-422-2-2112222-1-1-1-1-2-2-2-21122111-1-1-1-10004-400000-2-2220000-2-222000000001111-1-1-1-100000000000000000000000000
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χ7344-4-400-24-2-2−2i32i3−2i32i34-2-422-422-21-200002-2-11−2i32i3−2i32i3i3−i3i3−i3-2222-1100-11-1i3−i3i3−i3000000000000−23230000000000000000−3i3i−3i3i3−33−300000000000000000000000000
χ7444-4-400-24-2-22i3−2i32i3−2i34-2-422-422-21-200002-2-112i3−2i32i3−2i3−i3i3−i3i3-2222-1100-11-1−i3i3−i3i300000000000023−230000000000000000−3i3i−3i3i−33−3300000000000000000000000000
χ7544-4-400-24-2-22i3−2i32i3−2i34-2-422-422-21-200002-2-112i3−2i32i3−2i3−i3i3−i3i3-2222-1100-11-1−i3i3−i3i3000000000000−232300000000000000003i−3i3i−3i3−33−300000000000000000000000000
χ7644-4-400-2-24-2−2i32i3−2i32i3-242-422-421-2-20000-112-2i3−i3i3−i3−2i32i3−2i32i3-222-12100-11-1i3−i3i3−i30000000023−230000000000003i−3i3i−3i−33−330000000000000000000000000000000000
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χ111888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-422222222222222222-122-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
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χ1208-8-88-88-4-4-4444-4-444444-4-4-42224-44-42-22-2-2-222-2-222-2-22-2-2-1-22-11111-1-10000000000000000000000000000000000000000000000000000000000000000

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