Finite Group Databasebeta

← Group #11784870

Character table — Group #11784870

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444444444444444448888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222223344446666662222366666666666666666661212121212121212666666666666121212122222444466666666121212121212121288882424242424242424444444
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
χ91-11-11-11111-1-1-1-1-1-11111-1-111-11-11111-1-1-1-111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-11-11-11-11-111-1-111-1-111-1-111-1-1i−ii−iii−i−iii−i−iii−i−ii−i
χ101-11-11-11111-1-1-1-1-1-11111-1-111-11-11111-1-1-1-111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-11-11-11-11-111-1-111-1-111-1-111-1-1−ii−ii−i−iii−i−iii−i−iii−ii
χ111-11-11-11111-1-1-1-1-1-11111-1-111-11-11111-1-1-1-111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1-11-11-11-11-1-111-1-111-1-111-1-111i−ii−iii−i−iii−i−i−i−iii−ii
χ121-11-11-11111-1-1-1-1-1-11111-1-111-11-11111-1-1-1-111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1-11-11-11-11-1-111-1-111-1-111-1-111−ii−ii−i−iii−i−iiiii−i−ii−i
χ131-11-11-11111-1-1-1-1-1-111-1-11111-11-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111i−i−iiii−i−i−i−iiiii−i−i−ii
χ141-11-11-11111-1-1-1-1-1-111-1-11111-11-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111−iii−i−i−iiiii−i−i−i−iiii−i
χ151-11-11-11111-1-1-1-1-1-111-1-11111-11-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1i−i−iiii−i−i−i−iii−i−iiii−i
χ161-11-11-11111-1-1-1-1-1-111-1-11111-11-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1−iii−i−i−iiiii−i−iii−i−i−ii
χ1722222222-2-2-2-22222222-22-22222222-2-222-2-22222222-2-2-2-2-2-2-2-22-22-222-2-222-2-2-2-2-2-2000000000000000000000000000000000000000000
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χ212222222-1222222-1-12-1-2-2-2-2-122-1-111111111-1-1-1-1-1-1-122-1-1-1-122-2-2-2-211111111-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000
χ222222222-1222222-1-12-1-2-2-2-2-122-1-111111111-1-1-1-1-1-1-122-1-1-1-122-2-2-2-211111111-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000
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χ27222222-122222-1-122-122222-1-1-12222222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-1000000
χ28222222-122222-1-122-122222-1-1-12222222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-211111111000000
χ29222222-122222-1-122-12-2-2-2-2-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12222-1-1111111111111-1-1-1-100000000000000000000000022-2-2-1-1-1-11111000000
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χ32222222-12-2-2-2-2-1-122-122-22-2-1-1-12222-2-222-2-2-1-1-1-1-1-1-111-2-2-2-211-11-11-1-111-1-11111110000000000000000000000000000−33−33−33−33000000
χ33222222-12-2-2-2-2-1-122-12-22-22-1-1-122-2-222-2-222-1-1-1-1-1-1-111-2-2-2-2111-11-111-1-111-1-1111100000000000000000000000000003−33−3−33−33000000
χ34222222-12-2-2-2-2-1-122-12-22-22-1-1-122-2-222-2-222-1-1-1-1-1-1-111-2-2-2-2111-11-111-1-111-1-111110000000000000000000000000000−33−333−33−3000000
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χ472-22-22-222-2-222-2-2-2-2222-2-2222-22-222-2-2-2-22222-2-2-2-22-2-2-2-222222-2-2222-2-2-2-222-2-222000000000000000000000000000000000000000000
χ482-22-22-222-2-222-2-2-2-222-222-222-22-2-2-22222-2-222-2-2-2-22-2-2-2-22222-222-2-2-22222-2-2-2-222000000000000000000000000000000000000000000
χ492-22-22-22-122-2-2-2-2112-122-2-2-12-2-11-1-1-1-11111-1-11111-122-1-111-2-222-2-2-1-1-1-11111-1-1112-22-22-22-2-1-111-1-111-1-111-1-111000000000000000000
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χ522-22-22-22-122-2-2-2-2112-1-2-222-12-2-111111-1-1-1-1-1-11111-122-1-111-2-2-2-2221111-1-1-1-1-1-111-222-2-222-211-1-1-1-11111-1-1-1-111000000000000000000
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χ572-22-22-2-1222-2-211-2-2-1222-2-2-1-112-22222-2-2-2-2-1-11111-1-1-122-2-211-1-111-1-1-1-11111-1-1110000000000000000000000002i−2i2i−2i−i−iii−i−iii000000
χ582-22-22-2-1222-2-211-2-2-1222-2-2-1-112-22222-2-2-2-2-1-11111-1-1-122-2-211-1-111-1-1-1-11111-1-111000000000000000000000000−2i2i−2i2iii−i−iii−i−i000000
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χ762-22-2-222-1-222-2-2-2112-10000-1-221-1i3−i3−i3i3−i3i3i3−i31111-1-1-1-221-1-112-20000i3−i3−i3i3−i3i3i3−i31-1-11-22002-20011-1-1−i3i3i3−i3-1-111i3−i3−i3i3000000000000000000
χ77444444-2-24444-2-2-2-2-2-244441-2-2-2-2-2-2-2-2-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ78444444-2-24444-2-2-2-2-2-2-4-4-4-41-2-2-2-2222222221111111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ79444444-2-2-4-4-4-4-2-2-2-2-2-24-44-41-2-2-2-2-2-222-2-222111111122222222-22-2211-1-111-1-1-1-1-1-1000000000000000000000000000000000000000000
χ80444444-2-2-4-4-4-4-2-2-2-2-2-2-44-441-2-2-2-222-2-222-2-21111111222222222-22-2-1-111-1-111-1-1-1-1000000000000000000000000000000000000000000
χ814444-4-4-244-44-4-2-244-240000-222-4-40000000022-2-222-2-224-44-4-22000000000000-22-22000000000000000000000000000000000000000000
χ824444-4-4-24-44-44-2-244-240000-222-4-40000000022-2-222-22-2-44-442-20000000000002-22-2000000000000000000000000000000000000000000
χ834444-4-4-2-24-44-4-2-2-2-2-2-2000012222−2i32i3−2i32i3−2i32i3−2i32i3-1-111-1-11-22-22-22-220000i3−i3i3−i3i3−i3i3−i31-11-1000000000000000000000000000000000000000000
χ844444-4-4-2-24-44-4-2-2-2-2-2-20000122222i3−2i32i3−2i32i3−2i32i3−2i3-1-111-1-11-22-22-22-220000−i3i3−i3i3−i3i3−i3i31-11-1000000000000000000000000000000000000000000
χ854444-4-4-2-2-44-44-2-2-2-2-2-2000012222−2i32i32i3−2i3−2i32i32i3−2i3-1-111-1-112-22-22-22-20000i3−i3−i3i3i3−i3−i3i3-11-11000000000000000000000000000000000000000000
χ864444-4-4-2-2-44-44-2-2-2-2-2-20000122222i3−2i3−2i32i32i3−2i3−2i32i3-1-111-1-112-22-22-22-20000−i3i3i3−i3−i3i3i3−i3-11-11000000000000000000000000000000000000000000
χ8744-4-4004400004-44-4-4-400004000000000000004-400-40000000000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ8844-4-4004400004-44-4-4-400004000000000000004-400-4000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ894-44-44-4-2-244-4-42222-2-244-4-41-22-22-2-2-2-2222211-1-1-1-11-2-2-2-22222-2-2221111-1-1-1-111-1-1000000000000000000000000000000000000000000
χ904-44-44-4-2-244-4-42222-2-2-4-4441-22-222222-2-2-2-211-1-1-1-11-2-2-2-2222222-2-2-1-1-1-1111111-1-1000000000000000000000000000000000000000000
χ914-44-44-4-2-2-4-4442222-2-24-4-441-22-22-2-22222-2-211-1-1-1-112222-2-2-2-2-222-211-1-1-1-111-1-111000000000000000000000000000000000000000000
χ924-44-44-4-2-2-4-4442222-2-2-444-41-22-2222-2-2-2-22211-1-1-1-112222-2-2-2-22-2-22-1-11111-1-1-1-111000000000000000000000000000000000000000000
χ934-44-4-44-244-4-4422-4-4-240000-22-2-44000000002222-2-2-2-224-4-442-2000000000000-222-2000000000000000000000000000000000000000000
χ944-44-4-44-24-444-422-4-4-240000-22-2-44000000002222-2-2-22-2-444-4-220000000000002-2-22000000000000000000000000000000000000000000
χ954-44-4-44-2-24-4-442222-2-2000012-22-2−2i32i3−2i32i32i3−2i32i3−2i3-1-1-1-1111-22-222-22-20000i3−i3i3−i3−i3i3−i3i31-1-11000000000000000000000000000000000000000000
χ964-44-4-44-2-24-4-442222-2-2000012-22-22i3−2i32i3−2i3−2i32i3−2i32i3-1-1-1-1111-22-222-22-20000−i3i3−i3i3i3−i3i3−i31-1-11000000000000000000000000000000000000000000
χ974-44-4-44-2-2-444-42222-2-2000012-22-2−2i32i32i3−2i32i3−2i3−2i32i3-1-1-1-11112-22-2-22-220000i3−i3−i3i3−i3i3i3−i3-111-1000000000000000000000000000000000000000000
χ984-44-4-44-2-2-444-42222-2-2000012-22-22i3−2i3−2i32i3−2i32i32i3−2i3-1-1-1-11112-22-2-22-220000−i3i3i3−i3i3−i3−i3i3-111-1000000000000000000000000000000000000000000
χ994-4-4400440000-44-44-4-40000400000000000000-4400-40000000000000000000000000000000000000000000000000000000000002-2-2200
χ1004-4-4400440000-44-44-4-40000400000000000000-4400-4000000000000000000000000000000000000000000000000000000000000-222-200
χ10188-8-8008-400008-8-44-840000-400000000000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-800-480000-448-84-80000-400000000000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-800-4-40000-44-4444000020000000000006-62-26-6-2000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-800-4-40000-44-444400002000000000000-662-2-66-2000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88008-40000-884-4-840000-4000000000000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-8800-4800004-4-884-80000-4000000000000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8800-4-400004-44-444000020000000000006-6-22-66-2000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8800-4-400004-44-44400002000000000000-66-226-6-2000000000000000000000000000000000000000000000000000000000000000000

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