Finite Group Databasebeta

← Group #11868819

Character table — Group #11868819

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222334444444466666666661212121234466666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444488881212121212121212242424242424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111-1-1-1-11111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111-1-1-1-11111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111-1-1-1-11111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111-1-1-1-11111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-1111-1-111-1-11-1-1-1-111111111111-11-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1111-1-111-1-11-1-1-1-111111111111-11-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111-1-1111-1-111-1-11-1-1-1-111111111111-11-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ121111-1-1111-1-111-1-11-1-1-1-111111111111-11-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1722222222-2-2-222-2-2-22222222222-2-2-2-222-2222222222-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ1822222222-2-2-2-2-222-22222222222-2-2-2-22-22222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ192222222-122222222222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ202222222-122222222222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ212222222-1222-2-2-2-22222222-1-1-12-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-12222-1-1-2-21111-2-21111-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000022-2-200000000-1-1-1-1111100000000
χ222222222-1222-2-2-2-22222222-1-1-12-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-12222-1-1-2-21111-2-21111-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000-2-222000000001111-1-1-1-100000000
χ232222222-1-2-2-222-2-2-2222222-1-1-121111-12-2-1-1-1-1-1-1-1-1-1-2-2-2-21122-1-11122-1-111-2-2-2-211111111-1-1-1-11111-1-1-1-1111100000000000000003−33−33−33−300000000
χ242222222-1-2-2-222-2-2-2222222-1-1-121111-12-2-1-1-1-1-1-1-1-1-1-2-2-2-21122-1-11122-1-111-2-2-2-211111111-1-1-1-11111-1-1-1-111110000000000000000−33−33−33−3300000000
χ252222222-1-2-2-2-2-222-2222222-1-1-121111-1-22-1-1-1-1-1-1-1-1-1-2-2-2-211-2-211-1-1-2-211-1-12222111111111111-1-1-1-11111-1-1-1-100000000000000003−33−3−33−3300000000
χ262222222-1-2-2-2-2-222-2222222-1-1-121111-1-22-1-1-1-1-1-1-1-1-1-2-2-2-211-2-211-1-1-2-211-1-12222111111111111-1-1-1-11111-1-1-1-10000000000000000−33−333−33−300000000
χ27222222-1222222222-1-1-1-1-1-1222-12222-12222-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ28222222-1222222222-1-1-1-1-1-1222-12222-12222-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ29222222-12222-2-2-2-22-1-1-1-1-1-1222-12222-1-2-222-1-1-1-1-1-1-1-1-1-1-12211-2-2-2-211-2-2-2-21111-1-1-1-1-1-1-1-1111111111111111122-2-20000-1-1-1-111110000000000000000
χ30222222-12222-2-2-2-22-1-1-1-1-1-1222-12222-1-2-222-1-1-1-1-1-1-1-1-1-1-12211-2-2-2-211-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111-2-22200001111-1-1-1-10000000000000000
χ31222222-12-2-2-222-2-2-2-1-1-1-1-1-1222-1-2-2-2-2-12-222-1-1-1-1-1-1-11111-2-2-1-122-2-2-1-122-2-2111111111111-1-1-1-11111-1-1-1-1111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ32222222-12-2-2-222-2-2-2-1-1-1-1-1-1222-1-2-2-2-2-12-222-1-1-1-1-1-1-11111-2-2-1-122-2-2-1-122-2-2111111111111-1-1-1-11111-1-1-1-1111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ33222222-12-2-2-2-2-222-2-1-1-1-1-1-1222-1-2-2-2-2-1-2222-1-1-1-1-1-1-11111-2-211-2-22211-2-222-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ34222222-12-2-2-2-2-222-2-1-1-1-1-1-1222-1-2-2-2-2-1-2222-1-1-1-1-1-1-11111-2-211-2-22211-2-222-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ352222-2-222-2222222-2-2-2-2-2222222-2-2-2-22-2-2-2-2-2-2-2-2222-2-222222222-2-2-2-2-2-222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ362222-2-222-222-2-2-2-2-2-2-2-2-2222222-2-2-2-2222-2-2-2-2-2-2222-2-22222-2-2-2-2222222-2-222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ372222-2-22-12-2-222-2-22-2-2-2-222-1-1-12-1-1-1-1-1-22111111-1-1-122-2-21122-1-1-1-1-2-2111122-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111100002-22-200000000-1-111-1-11100000000
χ382222-2-22-12-2-222-2-22-2-2-2-222-1-1-12-1-1-1-1-1-22111111-1-1-122-2-21122-1-1-1-1-2-2111122-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111110000-22-220000000011-1-111-1-100000000
χ392222-2-22-12-2-2-2-2222-2-2-2-222-1-1-12-1-1-1-1-12-2111111-1-1-122-2-211-2-2111122-1-1-1-1-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-100002-2-2200000000-1-11111-1-100000000
χ402222-2-22-12-2-2-2-2222-2-2-2-222-1-1-12-1-1-1-1-12-2111111-1-1-122-2-211-2-2111122-1-1-1-1-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-10000-222-20000000011-1-1-1-11100000000
χ412222-2-22-1-2222222-2-2-2-2-222-1-1-121111-1-2-2111111-1-1-1-2-222-1-122-1-111-2-211-1-1-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000003−3−333−3−3300000000
χ422222-2-22-1-2222222-2-2-2-2-222-1-1-121111-1-2-2111111-1-1-1-2-222-1-122-1-111-2-211-1-1-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000−333−3−333−300000000
χ432222-2-22-1-222-2-2-2-2-2-2-2-2-222-1-1-121111-122111111-1-1-1-2-222-1-1-2-211-1-122-1-11122-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000003−3−33−333−300000000
χ442222-2-22-1-222-2-2-2-2-2-2-2-2-222-1-1-121111-122111111-1-1-1-2-222-1-1-2-211-1-122-1-11122-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000−333−33−3−3300000000
χ452222-2-2-122-2-222-2-221111-1-1222-12222-1-22-2-21111-1-1-1-1-111-2-2-1-1222211-2-2-2-2-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111112-22-20000-1-111-1-1110000000000000000
χ462222-2-2-122-2-222-2-221111-1-1222-12222-1-22-2-21111-1-1-1-1-111-2-2-1-1222211-2-2-2-2-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-22-22000011-1-111-1-10000000000000000
χ472222-2-2-122-2-2-2-22221111-1-1222-12222-12-2-2-21111-1-1-1-1-111-2-211-2-2-2-2-1-1222211-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-12-2-220000-1-11111-1-10000000000000000
χ482222-2-2-122-2-2-2-22221111-1-1222-12222-12-2-2-21111-1-1-1-1-111-2-211-2-2-2-2-1-1222211-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-222-2000011-1-1-1-1110000000000000000
χ492222-2-2-12-2222222-21111-1-1222-1-2-2-2-2-1-2-2-2-21111-1-1-111-1-122-1-122-2-211-2-22211-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3i3i3−i3−i3i3i3−i30000000000000000
χ502222-2-2-12-2222222-21111-1-1222-1-2-2-2-2-1-2-2-2-21111-1-1-111-1-122-1-122-2-211-2-22211-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3−i3−i3i3i3−i3−i3i30000000000000000
χ512222-2-2-12-222-2-2-2-2-21111-1-1222-1-2-2-2-2-122-2-21111-1-1-111-1-12211-2-222-1-122-2-2-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3i3i3−i3i3−i3−i3i30000000000000000
χ522222-2-2-12-222-2-2-2-2-21111-1-1222-1-2-2-2-2-122-2-21111-1-1-111-1-12211-2-222-1-122-2-2-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3−i3−i3i3−i3i3i3−i30000000000000000
χ5322-2-22-22222-20000-222-2-22-22-2-2-222-2-22002-222-2-22-2-22-22-22-2000000000000000022-2-222-2-200000000000000000000000000000000000000002-22-20000
χ5422-2-22-22222-20000-222-2-22-22-2-2-222-2-22002-222-2-22-2-22-22-22-2000000000000000022-2-222-2-20000000000000000000000000000000000000000-22-220000
χ5522-2-22-222-2-220000222-2-22-22-2-2-2-2-2222002-222-2-22-2-2-22-22-220000000000000000-2-222-2-222000000000000000000000000000000000000000000002i−2i2i−2i
χ5622-2-22-222-2-220000222-2-22-22-2-2-2-2-2222002-222-2-22-2-2-22-22-220000000000000000-2-222-2-22200000000000000000000000000000000000000000000−2i2i−2i2i
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χ61444444-2-244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000000000000
χ62444444-2-2444-4-4-4-44-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-2-21111111-2-2-2-2-2-2222222222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ63444444-2-2-4-4-444-4-4-4-2-2-2-2-2-2-2-2-2-2222214-4-2-21111111222222-2-2-2-222-2-2-2-2222222-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000000000000000
χ64444444-2-2-4-4-4-4-444-4-2-2-2-2-2-2-2-2-2-222221-44-2-211111112222222222-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000000000000000
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χ684444-4-4-2-2-444-4-4-4-4-42222-2-2-2-2-2-2222214422-1-1-1-111122-2-2-2-22222-2-2-2-2-2-222-2-222-1-1-1-11111-1-1-1-111111111-1-1-1-100000000000000000000000000000000
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χ7844-4-4-444-2-44-400004-4-4444-4-222-422-2-2-2002-222-2-2-222-444-4-22000000000000000022-2-2-2-222000000000000000000000000000000000000000000000000
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χ8344-4-4-44-2-2-44-40000422-2-2-22-222222-2-21002-2-1-1111-1-12-2-22-220000000000000000-1-11111-1-13i3i−3i−3i−3i−3i3i3i−3i−3i3i3i3i3i−3i−3i00000000000000000000000000000000
χ8444-4-4-44-2-2-44-40000422-2-2-22-222222-2-21002-2-1-1111-1-12-2-22-220000000000000000-1-11111-1-1−3i−3i3i3i3i3i−3i−3i3i3i−3i−3i−3i−3i3i3i00000000000000000000000000000000
χ854-44-400440004-40000000-44-44-4-40000400000000-44-40000004-44-4000000000000000000004-44-400000000000000000000000000000000000000000000
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χ984-44-400-2-20004-40002i3−2i32i3−2i32-22-222−2323−232310000−i3i3−i3i3-11-1000000-22-22−23232i3−2i3000000003−33−33i−3i3i−3i1-11-13−33−3−i3i3−i3i33i−3i3i−3i00000000000000000000000000000000
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χ1034-4-440044000004-400000-4-4-4-4440000400000000-4-4400000000000000004-4004-4000000000000000000004-4-4400000000000000000000000000000000
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χ1114-4-4400-2400000-440−2i32i32i3−2i322-4-44-20000-20000−2i32i32i3−2i322-20000000000000000-442i3−2i32-2000000000000−2i32i32i3−2i300002-2-2200000000000000000000000000000000
χ1124-4-4400-2400000-4402i3−2i3−2i32i322-4-44-20000-200002i3−2i3−2i32i322-20000000000000000-44−2i32i32-20000000000002i3−2i3−2i32i300002-2-2200000000000000000000000000000000
χ1134-4-4400-2-2000004-40−2i32i32i3−2i32222-2-223−23−232310000i3−i3−i3i3-1-110000000000000023−23-22−2i32i3-22−333−33i−3i−3i3i−3i3i3i−3i−i3i3i3−i3−333−31-1-1100000000000000000000000000000000
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χ1154-4-4400-2-2000004-402i3−2i3−2i32i32222-2-223−23−232310000−i3i3i3−i3-1-110000000000000023−23-222i3−2i3-22−333−3−3i3i3i−3i3i−3i−3i3ii3−i3−i3i3−333−31-1-1100000000000000000000000000000000
χ1164-4-4400-2-2000004-402i3−2i3−2i32i32222-2-2−232323−2310000−i3i3i3−i3-1-1100000000000000−2323-222i3−2i3-223−3−333i−3i−3i3i−3i3i3i−3ii3−i3−i3i33−3−331-1-1100000000000000000000000000000000
χ1174-4-4400-2-200000-440−2i32i32i3−2i32222-2-223−23−232310000i3−i3−i3i3-1-1100000000000000−23232-22i3−2i32-2−333−33i−3i−3i3i3i−3i−3i3ii3−i3−i3i33−3−33-111-100000000000000000000000000000000
χ1184-4-4400-2-200000-440−2i32i32i3−2i32222-2-2−232323−2310000i3−i3−i3i3-1-110000000000000023−232-22i3−2i32-23−3−33−3i3i3i−3i−3i3i3i−3ii3−i3−i3i3−333−3-111-100000000000000000000000000000000
χ1194-4-4400-2-200000-4402i3−2i3−2i32i32222-2-223−23−232310000−i3i3i3−i3-1-1100000000000000−23232-2−2i32i32-2−333−3−3i3i3i−3i−3i3i3i−3i−i3i3i3−i33−3−33-111-100000000000000000000000000000000
χ1204-4-4400-2-200000-4402i3−2i3−2i32i32222-2-2−232323−2310000−i3i3i3−i3-1-110000000000000023−232-2−2i32i32-23−3−333i−3i−3i3i3i−3i−3i3i−i3i3i3−i3−333−3-111-100000000000000000000000000000000

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