Finite Group Databasebeta

← Group #11864363

Character table — Group #11864363

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444444444444444448888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222223344446666662222366666666666666666661212121212121212666666666666121212122222444466666666121212121212121244881212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1
χ91111-1-111-1-11111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111-1-11111-1-1-1-111-1-1111-1-1-11-1111111-1-1-1-1-1-111-1-11-11-111-1-111-1-111-1-11-1
χ101111-1-111-1-11111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111-1-11111-1-1-1-111-1-1111-1-1-11-1111111-1-1-1-1-1-111-1-1-11-11-1-111-1-111-1-111-11
χ111111-1-111-1-11111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111-1-11111-1-1-1-111-1-1-1-1-1111-11-1-1-1-1-1-1111111-1-1111-11-111-1-111-1-1-1-111-11
χ121111-1-111-1-11111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111-1-11111-1-1-1-111-1-1-1-1-1111-11-1-1-1-1-1-1111111-1-111-11-11-1-111-1-11111-1-11-1
χ131111-1-111-1-111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11-1-111-1-1-1-1111111-1-111-11-1-1-111111-1-111-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-1-11
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χ151111-1-111-1-111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11-1-111-1-1-1-1111111-1-1-1-11-1111-1-1-1-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1111-1
χ161111-1-111-1-111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11-1-111-1-1-1-1111111-1-1-1-11-1111-1-1-1-1-111-1-1111111-1-1-111-1-1-11111-1-111-1-1-11
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χ212222222-12222-1-1222-1-2-2-2-2-122-1-111111111-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211111111-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000
χ222222222-12222-1-1222-1-2-2-2-2-122-1-111111111-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211111111-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000
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χ252222222-1-2-2-2-2-1-1222-10000-122-1-1i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-2-2-21111-20000i3i3−i3−i3i3i3−i3−i31111002-200-22i3i3−i3−i3-1-111i3i3−i3−i311-1-1000000000000000000
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χ27222222-12222222-1-1-122222-1-1-12222222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-1000000
χ28222222-12222222-1-1-122222-1-1-12222222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-211111111000000
χ29222222-12222222-1-1-12-2-2-2-2-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-12222-1111111111111-1-1-1-100000000000000000000000022-2-2-1-1-1-11111000000
χ30222222-12222222-1-1-12-2-2-2-2-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-12222-1111111111111-1-1-1-1000000000000000000000000-2-2221111-1-1-1-1000000
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χ392222-2-22-1-2-222-1-1222-1-2-222-1-2-2111111-1-1-1-1-1-11111-12-2-2-1-1112-2-2221111-1-1-1-1-1-11122-22-2-2-22-1-1-1-111-1-1111111-1-1000000000000000000
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χ442222-2-2-12-2-22222-1-1-12-2-222-111-2-2-2-2-2-22222-1-11111-1-11122-2-2-111-1-11111-1-1-1-1-1-111000000000000000000000000-222-211-1-1-1-111000000
χ452-2-222-2222-22-2-2-22-2-22000022-22-200000000-2-222-2-22-22-22-22-220000000000002-22-22-2002-2002-22-200002-22-20000000000000000000000
χ462-2-222-2222-22-2-2-22-2-22000022-22-200000000-2-222-2-22-22-22-22-220000000000002-22-2-2200-2200-22-220000-22-220000000000000000000000
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χ482-2-222-222-22-22-2-22-2-22-22-2222-22-2-22-22-22-22-2-222-2-222-22-22-22-2-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000
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χ522-2-222-22-12-22-2112-2-2-10000-12-2-11i3−i3−i3i3i3−i3−i3i311-1-111-1-22-2-11-1120000i3−i3−i3i3i3−i3−i3i3-11-11-2200-22001-11-1−i3i3−i3i31-11-1−i3i3−i3i3000000000000000000
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χ562-2-222-22-1-22-22112-2-2-1-22-22-12-2-111-11-11-11-111-1-111-12-221-11-1-2-22-221-11-11-11-11-11-100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3000000000000000000
χ572-2-222-2-12-22-22-2-2-11122-22-2-1-112-22-22-22-22-211-1-111-1-11-1-22-221-11-11-11-11-11-111-11-100000000000000000000000000003−33−33−33−3000000
χ582-2-222-2-12-22-22-2-2-11122-22-2-1-112-22-22-22-22-211-1-111-1-11-1-22-221-11-11-11-11-11-111-11-10000000000000000000000000000−33−33−33−33000000
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χ622-2-22-22222-2-22-2-22-2-22-222-22-22-22-22-222-22-2-2-2-2-222222-2-222-2-2-222-2-22-222-22-2-222-2000000000000000000000000000000000000000000
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χ732-2-22-22-122-2-22-2-2-11122-2-22-11-1-222-22-2-22-221111-1-1-1-1-11-222-21-111-1-11-111-11-11-1-1100000000000000000000000000003−3−333−3−33000000
χ742-2-22-22-122-2-22-2-2-11122-2-22-11-1-222-22-2-22-221111-1-1-1-1-11-222-21-111-1-11-111-11-11-1-110000000000000000000000000000−333−3−333−3000000
χ752-2-22-22-122-2-22-2-2-1112-222-2-11-1-22-22-222-22-21111-1-1-1-1-11-222-211-1-111-11-1-11-111-1-1100000000000000000000000000003−3−33−333−3000000
χ762-2-22-22-122-2-22-2-2-1112-222-2-11-1-22-22-222-22-21111-1-1-1-1-11-222-211-1-111-11-1-11-111-1-110000000000000000000000000000−333−33−3−33000000
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χ78444444-2-24444-2-2-2-2-2-244441-2-2-2-2-2-2-2-2-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ79444444-2-24444-2-2-2-2-2-2-4-4-4-41-2-2-2-2222222221111111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ80444444-2-2-4-4-4-4-2-2-2-2-2-200001-2-2-2-2−2i3−2i32i32i3−2i3−2i32i32i31111111222222220000i3i3−i3−i3i3i3−i3−i3-1-1-1-1000000000000000000000000000000000000000000
χ81444444-2-2-4-4-4-4-2-2-2-2-2-200001-2-2-2-22i32i3−2i3−2i32i32i3−2i3−2i31111111222222220000−i3−i3i3i3−i3−i3i3i3-1-1-1-1000000000000000000000000000000000000000000
χ824444-4-4-2444-4-444-2-2-240000-222-4-400000000-2-22222-22-2-2-4-444200000000000022-2-2000000000000000000000000000000000000000000
χ834444-4-4-2-244-4-4-2-2-2-2-2-2000012222−2i3−2i32i32i32i32i3−2i3−2i311-1-1-1-112-2-222-2-220000i3i3−i3−i3−i3−i3i3i3-1-111000000000000000000000000000000000000000000
χ844444-4-4-2-244-4-4-2-2-2-2-2-20000122222i32i3−2i3−2i3−2i3−2i32i32i311-1-1-1-112-2-222-2-220000−i3−i3i3i3i3i3−i3−i3-1-111000000000000000000000000000000000000000000
χ854444-4-4-2-2-4-444-2-2-2-2-2-244-4-412222-2-2-2-2222211-1-1-1-11-222-2-222-2-2-2221111-1-1-1-111-1-1000000000000000000000000000000000000000000
χ864444-4-4-2-2-4-444-2-2-2-2-2-2-4-444122222222-2-2-2-211-1-1-1-11-222-2-222-222-2-2-1-1-1-1111111-1-1000000000000000000000000000000000000000000
χ8744-4-4004400004-4-44-4-4000040000000000004-40000-400000000000000000000000000000000000000000000000000000000000000−2i22i200
χ8844-4-4004400004-4-44-4-4000040000000000004-40000-4000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ894-44-400440000-44-4-44-400004000000000000-440000-4000000000000000000000000000000000000000000000000000000000000−2i22i20000
χ904-44-400440000-44-4-44-400004000000000000-440000-40000000000000000000000000000000000000000000000000000000000002i2−2i20000
χ914-4-444-4-244-44-4-4-4-22240000-2-224-40000000022-2-222-22-224-44-4-2000000000000-22-22000000000000000000000000000000000000000000
χ924-4-444-4-2-24-44-422-222-200001-22-22−2i32i32i3−2i3−2i32i32i3−2i3-1-111-1-112-22-22-22-20000i3−i3−i3i3i3−i3−i3i31-11-1000000000000000000000000000000000000000000
χ934-4-444-4-2-24-44-422-222-200001-22-222i3−2i3−2i32i32i3−2i3−2i32i3-1-111-1-112-22-22-22-20000−i3i3i3−i3−i3i3i3−i31-11-1000000000000000000000000000000000000000000
χ944-4-444-4-2-2-44-4422-222-24-44-41-22-22-22-22-22-22-1-111-1-11-22-22-22-22-22-221-11-11-11-1-11-11000000000000000000000000000000000000000000
χ954-4-444-4-2-2-44-4422-222-2-44-441-22-222-22-22-22-2-1-111-1-11-22-22-22-222-22-2-11-11-11-11-11-11000000000000000000000000000000000000000000
χ964-4-44-44-24-444-4-4-4-22240000-22-2-44000000002222-2-2-222-24-4-44-2000000000000-222-2000000000000000000000000000000000000000000
χ974-4-44-44-2-24-4-4422-222-24-4-4412-22-2-22-222-22-2-1-1-1-1111-2-222-2-222-222-21-11-1-11-11-111-1000000000000000000000000000000000000000000
χ984-4-44-44-2-24-4-4422-222-2-444-412-22-22-22-2-22-22-1-1-1-1111-2-222-2-2222-2-22-11-111-11-1-111-1000000000000000000000000000000000000000000
χ994-4-44-44-2-2-444-422-222-2000012-22-2−2i32i32i3−2i32i3−2i3−2i32i3-1-1-1-111122-2-222-2-20000i3−i3−i3i3−i3i3i3−i31-1-11000000000000000000000000000000000000000000
χ1004-4-44-44-2-2-444-422-222-2000012-22-22i3−2i3−2i32i3−2i32i32i3−2i3-1-1-1-111122-2-222-2-20000−i3i3i3−i3i3−i3−i3i31-1-11000000000000000000000000000000000000000000
χ10188-8-8008-40000-44-88-840000-4000000000000-4400004000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-800-4800008-84-44-80000-4000000000000-4400004000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-800-4-40000-444-444000020000000000002-26-66-6-2000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-800-4-40000-444-444000020000000000002-2-66-66-2000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8008-400004-4-8-8840000-40000000000004-400004000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-480000-8844-4-80000-40000000000004-400004000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-4-400004-444-4400002000000000000-226-6-66-2000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-4-400004-444-4400002000000000000-22-666-6-2000000000000000000000000000000000000000000000000000000000000000000

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