Finite Group Databasebeta

← Group #13172308

Character table — Group #13172308

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222222244444444444444444444444488888888881212121212121212121212121212121212121212121212121212121212121212121212121212181818182424242424242424363636363636363672727272108108
order12222233366666666666663336666666666666666666663666666666244444121212121212121212121212121212121212121212121212121212121212121222226666121212122244666666121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-11-11-1-1-1-1-11-11-1-1
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
χ611111111111111111111111111111111111111111111111111111111-111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11-1111
χ711111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11-11-111
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
χ91111-1-1111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-11
χ101111-1-1111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-11-1-1111-1-111-1
χ111111-1-1111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-111-111-11-1
χ121111-1-1111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111-11
χ131111-1-1111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-11-11-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ141111-1-1111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-111-111-1-11
χ151111-1-1111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-111-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-1111-1-11-11
χ161111-1-1111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-11-1
χ1722222222-122-1-1-1-1-122-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-102222022-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-1000000
χ1822222222-122-1-1-1-1-122-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1022-2-2022-1-122-1-1-2-211-2-211-1-1-1-1-1-1-1-111111111-2-2-2-20000000000001111000000
χ1922222222-122-1-1-1-1-122-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-10-2-2220-2-211-2-21122-1-122-1-111111111-1-1-1-1-1-1-1-1-2-2-2-20000000000001111000000
χ2022222222-122-1-1-1-1-122-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-10-2-2-2-20-2-211-2-211-2-211-2-21111111111111111112222000000000000-1-1-1-1000000
χ212222222-122-1222222-1222-12-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-120022200000000-1-122-1-12200000000-1-1-1-1-1-1-1-100002-1-1-12-1-1-1020200000-10-100
χ222222222-122-1222222-1222-12-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1200-2-220000000011-2-211-2-2000000001111111100002-1-1-12-1-1-10-20-20000010100
χ232222222-122-1222222-1222-12-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-20022-200000000-1-122-1-12200000000-1-1-1-1-1-1-1-10000-2111-21110-20-20000010100
χ242222222-122-1222222-1222-12-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-200-2-2-20000000011-2-211-2-200000000111111110000-2111-2111020200000-10-100
χ25222222-122-1222222-1222-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1222002-1-122-1-12200000000-1-1-1-1-1-1-1-1000000000000-12-1-1-12-1-120200000-10-1000
χ26222222-122-1222222-1222-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-12-2-200211-2-211-2-20000000011111111000000000000-12-1-1-12-1-1-20-200000101000
χ27222222-122-1222222-1222-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-22200-2-1-122-1-12200000000-1-1-1-1-1-1-1-10000000000001-2111-211-20-200000101000
χ28222222-122-1222222-1222-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-2-200-211-2-211-2-200000000111111110000000000001-2111-21120200000-10-1000
χ292222-2-222-122-1111122-1-122-1-12-2-2-2-2-1-1-1-111111111222-1-1-1-2-2-1-1-1111102-22-2022-1-1-2-21122-1-1-2-211-1-1-1-11111-1-1-1-1111122-2-2000000000000-1-111000000
χ302222-2-222-122-1111122-1-122-1-12-2-2-2-2-1-1-1-111111111222-1-1-1-2-2-1-1-1111102-2-22022-1-1-2-211-2-21122-1-1-1-1-1-111111111-1-1-1-1-2-22200000000000011-1-1000000
χ312222-2-222-122-1111122-1-122-1-12-2-2-2-2-1-1-1-111111111222-1-1-1-2-2-1-1-111110-222-20-2-21122-1-122-1-1-2-2111111-1-1-1-1-1-1-1-11111-2-22200000000000011-1-1000000
χ322222-2-222-122-1111122-1-122-1-12-2-2-2-2-1-1-1-111111111222-1-1-1-2-2-1-1-111110-22-220-2-21122-1-1-2-21122-1-11111-1-1-1-11111-1-1-1-122-2-2000000000000-1-111000000
χ332222-2-22-122-12-2-2-2-22-1222-12-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-111-1-1-111112002-2-200000000-1-12211-2-200000000-1-1-1-1111100002-1-1-1-2111020-200000-10100
χ342222-2-22-122-12-2-2-2-22-1222-12-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-111-1-1-11111200-22-20000000011-2-2-1-122000000001111-1-1-1-100002-1-1-1-21110-2020000010-100
χ352222-2-22-122-12-2-2-2-22-1222-12-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-111-1-1-11111-2002-2200000000-1-12211-2-200000000-1-1-1-111110000-21112-1-1-10-2020000010-100
χ362222-2-22-122-12-2-2-2-22-1222-12-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-111-1-1-11111-200-2220000000011-2-2-1-122000000001111-1-1-1-10000-21112-1-1-1020-200000-10100
χ372222-2-2-122-122-2-2-2-2-1222-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-111-1-1-1111122-200-2-1-12211-2-200000000-1-1-1-11111000000000000-12-1-11-21120-200000-101000
χ382222-2-2-122-122-2-2-2-2-1222-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-111-1-1-111112-2200-211-2-2-1-122000000001111-1-1-1-1000000000000-12-1-11-211-2020000010-1000
χ392222-2-2-122-122-2-2-2-2-1222-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-111-1-1-11111-22-2002-1-12211-2-200000000-1-1-1-111110000000000001-211-12-1-1-2020000010-1000
χ402222-2-2-122-122-2-2-2-2-1222-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-111-1-1-11111-2-2200211-2-2-1-122000000001111-1-1-1-10000000000001-211-12-1-120-200000-101000
χ412-2-222-2222-2-2222-2-2-2-2-2-2222222-22-22-22-222-2-222-2-2-2-22-2-222-22-2-222-2-2000000000000000000000000000000000000002-22-20000000000002-22-2000000
χ422-2-222-2222-2-2222-2-2-2-2-2-2222222-22-22-22-222-2-222-2-2-2-22-2-222-22-2-222-2-200000000000000000000000000000000000000-22-22000000000000-22-22000000
χ432-2-222-222-1-2-2-1-1-111-2-21122-1-122-22-2-11-11-1-111-1-111-2-2211-12-2-111-1-111000000003−3003−3003−3003−333−3−333−3−333−3−333−3−32-22-2000000000000-11-11000000
χ442-2-222-222-1-2-2-1-1-111-2-21122-1-122-22-2-11-11-1-111-1-111-2-2211-12-2-111-1-111000000003−3003−300−3300−3333−3−333−3−3−3−333−3−333-22-220000000000001-11-1000000
χ452-2-222-222-1-2-2-1-1-111-2-21122-1-122-22-2-11-11-1-111-1-111-2-2211-12-2-111-1-11100000000−3300−33003−3003−3−3−333−3−33333−3−333−3−3-22-220000000000001-11-1000000
χ462-2-222-222-1-2-2-1-1-111-2-21122-1-122-22-2-11-11-1-111-1-111-2-2211-12-2-111-1-11100000000−3300−3300−3300−33−3−333−3−333−3−333−3−3332-22-2000000000000-11-11000000
χ472-2-22-22222-2-22-2-222-2-2-2-222222-22-222-22-2-2-222-2-222-2-22-2-22-222-2-2-2-222000000000000000000000000000000000000002-2-220000000000002-2-22000000
χ482-2-22-22222-2-22-2-222-2-2-2-222222-22-222-22-2-2-222-2-222-2-22-2-22-222-2-2-2-22200000000000000000000000000000000000000-222-2000000000000-222-2000000
χ492-2-22-2222-1-2-2-111-1-1-2-21122-1-12-22-22-11-1111-1-111-1-1-2-2211-1-22-11111-1-1000000003−300−33003−300−3333−3−3−3−33333−3−3−3−3332-2-22000000000000-111-1000000
χ502-2-22-2222-1-2-2-111-1-1-2-21122-1-12-22-22-11-1111-1-111-1-1-2-2211-1-22-11111-1-1000000003−300−3300−33003−333−3−3−3−333−3−33333−3−3-222-20000000000001-1-11000000
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χ534444444-2-24-2-2-2-2-2-24-2-2-24-2-21-244-2-2-2-211-2-2-2-21111-2-2-2-211-2-2111111100044000000000-2-2-2-2-2-2-2-2000000001111111100000000000000000000000000
χ544444444-2-24-2-2-2-2-2-24-2-2-24-2-21-244-2-2-2-211-2-2-2-21111-2-2-2-211-2-21111111000-4-40000000002222222200000000-1-1-1-1-1-1-1-100000000000000000000000000
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χ58444444-2-24-2-244444-2-244-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-21111111111-40000-400000000000000000000000000000000000022-1-122-1-100000000000000
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χ7344-4-4004-2-24222i3−2i32i3−2i3-4-2-22-42-21-200002-2-1-12i3−2i32i3−2i3−i3i3−i3i3-22221100-11-1−i3i3−i3i3000000000000002i3−2i300000000000000−i3i3−i3i33-33-300000000000000000000000000
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Here i is the imaginary unit (i² = −1).