Finite Group Databasebeta

← Group #13172304

Character table — Group #13172304

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444444666666666666888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636363636363636363636363636363636108108
order1222223336666666663336666666666666666666222266666666366666666666244466666666666666121212121212666121212121212121212244444661212121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1111-1-1111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-111-11111-1-111111111-1-11111-1-1-111-1-1-11111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111111-1-11-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-11-111-1-1-11111-1-111-1-11-1
χ101111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-11-11-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-111-1-111-11-1-111-1-111-1-111-11
χ111111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-11-11-1-111-1-11111-1-1-1-11111-1-1-1-1-11-111111-1-111-1-1-1111-1-111-1-1-1-111-11
χ121111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1111-11-11-111-1-1-1-11111-1-11-1
χ131111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11-11-11-111-1-1-1-11111-1-1-11
χ141111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-1-1-11111-1-1-1-111111-11-1-1-1-1-11111-1-1-1111-1-111-1-1-1-1111-1
χ151111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-1-11-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111-1-1-1-111-11-1-111-1-111-1-1111-1
χ161111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-11-111-1-1-11111-1-111-1-1-11
χ1722222222-12-1-12222-122-1-12222-1-12-1-1-1-1-1-1-1-1-122-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1200222-1-1-1-1-1-1-1-1-1-1-1-1-1-100002-1-1002-1-10000200200-1-1-1-10000000000
χ1822222222-12-1-12222-122-1-12222-1-12-1-1-1-1-1-1-1-1-122-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-200-222-1-111-1-1-1-1-1-1-1-1110000-21100-2110000-200-20011110000000000
χ1922222222-12-1-12222-122-1-12222-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-12002-2-211-1-111111111-1-100002-1-1002-1-10000-200-20011110000000000
χ2022222222-12-1-12222-122-1-12222-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-200-2-2-2111111111111110000-21100-2110000200200-1-1-1-10000000000
χ212222222-12-12222-1-122-12-122-1-122-122-1-1-1-1-1-1-1-1-122222-1-1-1-12222-1-1-122-1-1-1-1-1-1-10220-1-12200-1-1-1-1-1-1-1-100-1-1-1-100022000-1-1-1-10220000000-1-1-1-1000000
χ222222222-12-12222-1-122-12-122-1-122-122-1-1-1-1-1-1-1-1-122222-1-1-1-12222-1-1-122-1-1-1-1-1-1-10-2-20-1-12200-1-1-1-1-1-1-1-1001111000-2-200011110-2-200000001111000000
χ232222222-12-12222-1-122-12-122-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-1022011-2-2001111111100-1-1-1-100022000-1-1-1-10-2-200000001111000000
χ242222222-12-12222-1-122-12-122-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-10-2-2011-2-20011111111001111000-2-200011110220000000-1-1-1-1000000
χ25222222-122222-1-1222-1-1-12-1-12222-1-1-12222222-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1222200002200000000222222-1-1-1-1-1-1-1-1-1-1-1-100002200000000-1-1-1-100
χ26222222-122222-1-1222-1-1-12-1-12222-1-1-12222222-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-12-2-220000220000000022-2-2-2-2-1-1-111-1-1-111110000-2-200000000111100
χ27222222-122222-1-1222-1-1-12-1-12222-1-1-12222222-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-222-20000-2-200000000-2-22222111-1-1111-1-1-1-10000-2-200000000111100
χ28222222-122222-1-1222-1-1-12-1-12222-1-1-12222222-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-200000000-2-2-2-2-2-211111111111100002200000000-1-1-1-100
χ292222-2-222-12-1-12222-122-1-1-2-2-2-2112-1-1-1-1-1111122-122-2-222221111-1-2-211-1-1-11111200-2-2-2-1-1-1-1-1-1-1-111111100002-1-100-2110000-20020011-1-10000000000
χ302222-2-222-12-1-12222-122-1-1-2-2-2-2112-1-1-1-1-1111122-122-2-222221111-1-2-211-1-1-11111-2002-2-2-1-111-1-1-1-11111-1-10000-211002-1-10000200-200-1-1110000000000
χ312222-2-222-12-1-12222-122-1-1-2-2-2-2112-1-1-1-1-1111122-1-2-222-2-2-2-2-1-1-1-1-1-2-211-1-1-11111200-22211-1-11111-1-1-1-11100002-1-100-2110000200-200-1-1110000000000
χ322222-2-222-12-1-12222-122-1-1-2-2-2-2112-1-1-1-1-1111122-1-2-222-2-2-2-2-1-1-1-1-1-2-211-1-1-11111-20022211111111-1-1-1-1-1-10000-211002-1-10000-20020011-1-10000000000
χ332222-2-22-12-12222-1-122-12-1-2-211-2-2-122-1-1-11111-1-1222-2-2-1-1-1-1-2-2-2-2-111-2-2-1-1-1111102-20112200-1-1-1-1111100-1-1110002-2000-1-11102-20000000-1-111000000
χ342222-2-22-12-12222-1-122-12-1-2-211-2-2-122-1-1-11111-1-1222-2-2-1-1-1-1-2-2-2-2-111-2-2-1-1-111110-220112200-1-1-1-111110011-1-1000-2200011-1-10-22000000011-1-1000000
χ352222-2-22-12-12222-1-122-12-1-2-211-2-2-122-1-1-11111-1-12-2-22211112222-111-2-2-1-1-1111102-20-1-1-2-2001111-1-1-1-100-1-1110002-2000-1-1110-22000000011-1-1000000
χ362222-2-22-12-12222-1-122-12-1-2-211-2-2-122-1-1-11111-1-12-2-22211112222-111-2-2-1-1-111110-220-1-1-2-2001111-1-1-1-10011-1-1000-2200011-1-102-20000000-1-111000000
χ372222-2-2-122222-1-1222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-1000000000000-11111-1-1-1111122-2-200002200000000-2-222-2-2-1-1-1-11111-1-11100002-200000000-1-11100
χ382222-2-2-122222-1-1222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-1000000000000-11111-1-1-111112-22-200002200000000-2-2-2-222-1-1-11-111111-1-10000-220000000011-1-100
χ392222-2-2-122222-1-1222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-1000000000000-11111-1-1-11111-22-220000-2-2000000002222-2-2111-11-1-1-1-1-1110000-220000000011-1-100
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χ412-2-222-22222-2-2-2-2-2-2222222-22-22-22-2-22-2-222-2-2-2-222-22-222-2-222-2-222-22-22-2-222-2-200002-22-20022-2-222-2-200000000000000000000000000000000000000
χ422-2-222-22222-2-2-2-2-2-2222222-22-22-22-2-22-2-222-2-2-2-22-22-22-2-222-2-22222-22-22-2-222-2-20000-22-2200-2-222-2-22200000000000000000000000000000000000000
χ432-2-222-222-1211-2-2-2-2-122-1-12-22-2-11211-111-1-111-2-2-12-22-222-2-2-1-111-12-2-11-111-1-11100002-2-11−i3i3-1-111-1-111−i3i300000−i3i3000−i3i30000000000−i3i3−i3i30000000000
χ442-2-222-222-1211-2-2-2-2-122-1-12-22-2-11211-111-1-111-2-2-12-22-222-2-2-1-111-12-2-11-111-1-11100002-2-11i3−i3-1-111-1-111i3−i300000i3−i3000i3−i30000000000i3−i3i3−i30000000000
χ452-2-222-222-1211-2-2-2-2-122-1-12-22-2-11211-111-1-111-2-2-1-22-22-2-22211-1-1-12-2-11-111-1-1110000-221-1−i3i311-1-111-1-1−i3i300000−i3i3000−i3i30000000000i3−i3i3−i30000000000
χ462-2-222-222-1211-2-2-2-2-122-1-12-22-2-11211-111-1-111-2-2-1-22-22-2-22211-1-1-12-2-11-111-1-1110000-221-1i3−i311-1-111-1-1i3−i300000i3−i3000i3−i30000000000−i3i3−i3i30000000000
χ472-2-222-22-12-1-2-2-2-21122-12-12-2-112-2-1-2-2-111-1-1111122-22-2-1-11122-2-2-1-112-2-111-1-1110000-112-200-1-111-1-111003−33−3000000003−33−300000000003−33−3000000
χ482-2-222-22-12-1-2-2-2-21122-12-12-2-112-2-1-2-2-111-1-1111122-22-2-1-11122-2-2-1-112-2-111-1-1110000-112-200-1-111-1-11100−33−3300000000−33−330000000000−33−33000000
χ492-2-222-22-12-1-2-2-2-21122-12-12-2-112-2-1-2-2-111-1-111112-22-2211-1-1-2-222-1-112-2-111-1-11100001-1-220011-1-111-1-1003−33−3000000003−33−30000000000−33−33000000
χ502-2-222-22-12-1-2-2-2-21122-12-12-2-112-2-1-2-2-111-1-111112-22-2211-1-1-2-222-1-112-2-111-1-11100001-1-220011-1-111-1-100−33−3300000000−33−3300000000003−33−3000000
χ512-2-22-222222-2-2-2-2-2-222222-22-22-222-2-22-2-2-2-222-2-222-2-2222-2-2-2-2222-22-222-2-2-2-2220000-222-20022-2-2-2-22200000000000000000000000000000000000000
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χ542-2-22-2222-1211-2-2-2-2-122-1-1-22-221-1211-11111-1-1-2-2-12-2-2222-2-211-1-1-1-221-1-11111-1-10000-22-11i3−i3-1-11111-1-1−i3i300000i3−i3000−i3i30000000000−i3i3i3−i30000000000
χ552-2-22-2222-1211-2-2-2-2-122-1-1-22-221-1211-11111-1-1-2-2-1-222-2-2-222-1-111-1-221-1-11111-1-100002-21-1−i3i311-1-1-1-111i3−i300000−i3i3000i3−i30000000000−i3i3i3−i30000000000
χ562-2-22-2222-1211-2-2-2-2-122-1-1-22-221-1211-11111-1-1-2-2-1-222-2-2-222-1-111-1-221-1-11111-1-100002-21-1i3−i311-1-1-1-111−i3i300000i3−i3000−i3i30000000000i3−i3−i3i30000000000
χ572-2-22-222-12-1-2-2-2-21122-12-1-221-1-22-1-2-2-11111-1-11122-2-22-1-111-2-222-11-1-22-11111-1-100001-12-200-1-11111-1-1003−3−33000000003−3−3300000000003−3−33000000
χ582-2-22-222-12-1-2-2-2-21122-12-1-221-1-22-1-2-2-11111-1-11122-2-22-1-111-2-222-11-1-22-11111-1-100001-12-200-1-11111-1-100−333−300000000−333−30000000000−333−3000000
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χ704444-4-4-24-24-2-2-2-244-2-2-21-222-4-422-211-2-2-22222-2-21000000000000122-1-1111-1-1-1-1-400400002200000000-2-200002-1-100-211000000000000000000000000
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Here i is the imaginary unit (i² = −1).