Finite Group Databasebeta

← Group #13172365

Character table — Group #13172365

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444444666666666666888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636363636363636363636363636363636108108
order12222233366666666633366666666666666666664444121212121212121236666666666624446612121212121212121212121212121212121266612121212121212121222244466666612121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-11111111111111111-1-111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-111-1-1-111111111-1-111111111-1-1-1-111-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111
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
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1111-11-1-1-111-1-111-11-1-11111-1-111-1-1-1-11-1
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-11-11-111-1-1-1-11111-1-11111-1-1-1-1111-1-11-1-1-1-1111-11-11-111-1-111-1-111-1-1-11
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-11-11-1-1-1-111-1-111111111-1-1-1-1-1-1-111-11111-1-1-1-111-11-1-1-1-11111-1-111-11
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1111-1-111-11-1-111-1-111-1-1-1-111111-1
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111111-11-1-1-111-1-1-11-1-111-1-111-1-1-1-11111-11
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-11-11-11111-1-111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-111-1-111-11-1-1-1-11111-1-1111-1
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111-1-1-1-11111-1-1-111-11111-1-11-11-11-111-1-111-1-111-1-11-1
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-11-1111-1-11111-11-1-11111-1-111-1-1-1-1-11
χ1722222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-12000000000000-1-1-1-1-1-1-1-1-1-1-1-1222222002222002200000000-1-1-1-1-1-1-1-1-1-1-1-102200000-1-1-1-100000000
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χ1922222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-12000000000000-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-200222200-2-2000000001111-1-111-1-1-1-10-2-200000111100000000
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χ212222222-12-1-1222222-1-12-122-1-122-1-12-1-1-1-1-1-122-1-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-12002-1-1220000-1-1-1-1-1-1-1-1-1-1-1-12-1-1200-1-10000200002-1-100000000-1-100
χ222222222-12-1-1222222-1-12-122-1-122-1-12-1-1-1-1-1-122-1-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-200-211220000-1-111-1-1-1-1-1-1-1-1-211-200110000-20000-211000000001100
χ232222222-12-1-1222222-1-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-12002-1-1-2-2000011-1-1111111112-1-1200-1-10000-20000-211000000001100
χ242222222-12-1-1222222-1-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-200-211-2-20000111111111111-211-200110000200002-1-100000000-1-100
χ25222222-12222222-1-1-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-12222-1-1-1-12222-1-1-122-1-1-1-1-1-1-1022000-1-1-1-1-1-12200-1-1-1-1-1-1-1-100002200-1-1-1-1000220000000-1-1-1-10000
χ26222222-12222222-1-1-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-12222-1-1-1-12222-1-1-122-1-1-1-1-1-1-10-2-2000-1-111112200-1-1-1-1-1-1-1-10000-2-2001111000-2-2000000011110000
χ27222222-12222222-1-1-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-102200011-1-1-1-1-2-2001111111100002200-1-1-1-1000-2-2000000011110000
χ28222222-12222222-1-1-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-10-2-2000111111-2-200111111110000-2-2001111000220000000-1-1-1-10000
χ292222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000000000-11111-1-1-1111122-2-2220022-2-200-2-200000000-1-1-11-1111-1-11102-200000-1-11100000000
χ302222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000000000-11111-1-1-111112-22-22200-2-22200-2-200000000-1-1-111-11111-1-10-220000011-1-100000000
χ312222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000000000-11111-1-1-11111-22-22-2-20022-2-2002200000000111-1-11-1-1-1-1110-220000011-1-100000000
χ322222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000000000-11111-1-1-11111-2-222-2-200-2-222002200000000111-11-1-1-111-1-102-200000-1-11100000000
χ332222-2-22-12-1-1222222-1-12-1-2-211-2-2-1-121111-1-122-1-122-2-222221111-1-2-211-1-1-11111200-2-1-1-2-20000-1-111-1-1-1-111112-1-1-20011000020000-2-1-1000000001100
χ342222-2-22-12-1-1222222-1-12-1-2-211-2-2-1-121111-1-122-1-122-2-222221111-1-2-211-1-1-11111-200211-2-20000-1-1-1-1-1-1-1-11111-211200-1-10000-2000021100000000-1-100
χ352222-2-22-12-1-1222222-1-12-1-2-211-2-2-1-121111-1-122-1-1-2-222-2-2-2-2-1-1-1-1-1-2-211-1-1-11111200-2-1-122000011111111-1-1-1-12-1-1-200110000-2000021100000000-1-100
χ362222-2-22-12-1-1222222-1-12-1-2-211-2-2-1-121111-1-122-1-1-2-222-2-2-2-2-1-1-1-1-1-2-211-1-1-11111-20021122000011-1-11111-1-1-1-1-211200-1-1000020000-2-1-1000000001100
χ372222-2-2-12222222-1-1-12-1-1211-2-2-2-2-1-1-1111122-1-12-122-2-2-1-1-1-1-2-2-2-2-111-2-2-1-1-1111102-200011-1-1112200-1-1-1-1111100002-200-1-1110002-20000000-1-1110000
χ382222-2-2-12222222-1-1-12-1-1211-2-2-2-2-1-1-1111122-1-12-122-2-2-1-1-1-1-2-2-2-2-111-2-2-1-1-111110-220001111-1-12200-1-1-1-111110000-220011-1-1000-22000000011-1-10000
χ392222-2-2-12222222-1-1-12-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-22211112222-111-2-2-1-1-1111102-2000-1-1-1-111-2-2001111-1-1-1-100002-200-1-111000-22000000011-1-10000
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χ412-2-222-2222-2-22-2-22-2-222222-22-22-2-2-2222-2-2-2-2-2-2222-22-222-2-222-2-222-22-22-2-222-2-20000002-200002-20022-2-222-2-200000000000000000000000000000000
χ422-2-222-2222-2-22-2-22-2-222222-22-22-2-2-2222-2-2-2-2-2-222-22-22-2-222-2-22222-22-22-2-222-2-2000000-220000-2200-2-222-2-22200000000000000000000000000000000
χ432-2-222-22-12112-2-22-2-2-1-12-12-2-112-2112-1-11111-2-2-1-12-22-222-2-2-1-111-12-2-11-111-1-1110000−i3i32-20000-11−i3i3-1-111-1-1110−i3i3000−i3i30000000000−i3i300000000−i3i300
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χ472-2-222-2-122-2-22-2-2-1112-1-12-112-22-211-1-1-111-2-2112-12-22-2-1-11122-2-2-1-112-2-111-1-111000000-113−33−32-200-1-111-1-111000000003−33−30000000000003−33−30000
χ482-2-222-2-122-2-22-2-2-1112-1-12-112-22-211-1-1-111-2-2112-12-22-2-1-11122-2-2-1-112-2-111-1-111000000-11−33−332-200-1-111-1-11100000000−33−33000000000000−33−330000
χ492-2-222-2-122-2-22-2-2-1112-1-12-112-22-211-1-1-111-2-2112-1-22-2211-1-1-2-222-1-112-2-111-1-1110000001-13−33−3-220011-1-111-1-1000000003−33−3000000000000−33−330000
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Here i is the imaginary unit (i² = −1).