Finite Group Databasebeta

← Group #11819078

Character table — Group #11819078

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121222444444444444446666121212121212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-11
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-11
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11-1
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-11
χ17222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200222200000022-1-1-1-10000-1-1-1-100000000-1-1-1-100000000
χ18222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2000000-2-211110000111100000000111100000000
χ19222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2-2-2-1-1-1-1111111112200-2-2-2-200000022-1-1-1-10000-1-1-1-100000000111100000000
χ20222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2-2-2-1-1-1-111111111-2-2002222000000-2-211110000111100000000-1-1-1-100000000
χ21222222222-1-2-2-2-22222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-1-2-2-2-211112-2-1-11122-2-21111-1-1-1-11111220022-2-2000000-2-2-1-1-1-10000111100000000-1-11100000000
χ22222222222-1-2-2-2-22222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-1-2-2-2-211112-2-1-11122-2-21111-1-1-1-11111-2-200-2-2220000002211110000-1-1-1-10000000011-1-100000000
χ23222222222-1-2-2-2-22222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-1-2-2-2-21111-2211-1-1-2-22211111111-1-1-1-12200-2-222000000-2-2-1-1-1-1000011110000000011-1-100000000
χ24222222222-1-2-2-2-22222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-1-2-2-2-21111-2211-1-1-2-22211111111-1-1-1-1-2-20022-2-20000002211110000-1-1-1-100000000-1-11100000000
χ2522222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000222222000000-1-1-1-10000-1-1-1-100000000-1-1-1-10000
χ2622222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-2-2-20000001111000011110000000011110000
χ2722222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-1111111110022000022-2-2-2-2000000-1-1-1-10000-1-1-1-10000000011110000
χ2822222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-11111111100-2-20000-2-2222200000011110000111100000000-1-1-1-10000
χ2922222222-12-2-2-2-2-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-22-222-2-2-1-1111111-1-1-1-1111100220000-2-222-2-2000000-1-1-1-10000111100000000-1-1110000
χ3022222222-12-2-2-2-2-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-22-222-2-2-1-1111111-1-1-1-1111100-2-2000022-2-22200000011110000-1-1-1-10000000011-1-10000
χ3122222222-12-2-2-2-2-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-2-22-2-22211-1-111111111-1-1-1-100220000-2-2-2-222000000-1-1-1-1000011110000000011-1-10000
χ3222222222-12-2-2-2-2-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-2-22-2-22211-1-111111111-1-1-1-100-2-200002222-2-200000011110000-1-1-1-100000000-1-1110000
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χ4022-22-2-2-2222-2-2222-22-22-2-2-22-2-222-222-2-22-22-2-2-222-2-2220000000000-2-2220000000000000000000000000000000000000000−2i2i−2i2i000000002i−2i00
χ4122-2-2-222-22200002-2-222-2-22-22-2-2-2222-2-2-22-22000000000000000000000000000000000000002-200002i−2i000000002i2i−2i−2i22-2-22i−2i−2i2i000000000000
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χ4322-2-2-222-22200002-2-222-2-22-22-2-2-2222-2-2-22-2200000000000000000000000000000000000000-2200002i−2i000000002i2i−2i−2i-2-222−2i2i2i−2i000000000000
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χ482-22-2-2-22222-22-22-2-2-2-2-22-2-22222-222-22-2-2-222-22-22-22-220000000000-22-22000000000000000000-222-200000000000000000000000000-222-20000
χ492-22-2-2-222-122-22-21111-22-2-2-12-12-2-1-11-1111-1-1-11-112-22-2000000−i3i3−i3i3-11-11−i3−i3i3i3−i3−i3i3i300000000002-22-2000000−i3i3−i3i30000−i3i3−i3i300000000-11-110000
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χ522-22-2-2-222-122-22-21111-22-2-2-12-12-2-1-11-1111-1-1-11-112-22-2000000i3−i3i3−i3-11-11i3i3−i3−i3i3i3−i3−i30000000000-22-22000000−i3i3−i3i30000−i3i3−i3i3000000001-11-10000
χ532-22-2-2-222-12-22-221111-22-2-2-12-12-2-1-11-1111-1-11-11-1-22-22000000−i3i3i3−i31-11-1−i3−i3i3i3i3i3−i3−i300000000002-2-22000000−i3i3−i3i30000i3−i3i3−i300000000-111-10000
χ542-22-2-2-222-12-22-221111-22-2-2-12-12-2-1-11-1111-1-11-11-1-22-22000000−i3i3i3−i31-11-1−i3−i3i3i3i3i3−i3−i30000000000-222-2000000i3−i3i3−i30000−i3i3−i3i3000000001-1-110000
χ552-22-2-2-222-12-22-221111-22-2-2-12-12-2-1-11-1111-1-11-11-1-22-22000000i3−i3−i3i31-11-1i3i3−i3−i3−i3−i3i3i300000000002-2-22000000i3−i3i3−i30000−i3i3−i3i300000000-111-10000
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χ8844-4-4-444-4-240000-222-24-4-44242-4-4-2-2-2222-22-200000000000000000000000000000000000000-4400000000000000000022-2-20000000000000000
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χ904-444-44-4-44-20000-4-4442-22-2-4242-2-4-22-22-2-22200000000000000000000000000000000000000000000000000000023−23−232300000000000000000000
χ914-444-44-4-44-20000-4-4442-22-2-4242-2-4-22-22-2-222000000000000000000000000000000000000000000000000000000−232323−2300000000000000000000
χ924-444-44-4-4-24000022-2-2-44-442-4-2-442-22-22-2-22200000000000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ934-444-44-4-4-24000022-2-2-44-442-4-2-442-22-22-2-222000000000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ944-44-4-4-4444-24-44-4-4-4-4-42-2224-24-224-22-2222-2-24-44-4-22-220000000000-22-2200000000000000000000000000000000000000000000000000000000
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χ964-44-4-4-444-2-24-44-422222-222-2-2-2-22-21-11-1-1-111-22-22-22-22000000−2i32i3−2i32i31-11-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ974-44-4-4-444-2-24-44-422222-222-2-2-2-22-21-11-1-1-111-22-22-22-220000002i3−2i32i3−2i31-11-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ984-44-4-4-444-2-2-44-4422222-222-2-2-2-22-21-11-1-1-1112-22-22-22-2000000−2i32i32i3−2i3-11-11i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ994-44-4-4-444-2-2-44-4422222-222-2-2-2-22-21-11-1-1-1112-22-22-22-20000002i3−2i3−2i32i3-11-11−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ1004-4-444-44-4440000-444-4-4-44-4-44-4-4444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-444-44-44-20000-444-422-22-4-2-42-24-222-2-222-20000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ1024-4-444-44-44-20000-444-422-22-4-2-42-24-222-2-222-200000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ1034-4-444-44-4-2400002-2-22-4-44-4242-44-2-222-2-222-20000000000000000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000
χ1044-4-444-44-4-2400002-2-22-4-44-4242-44-2-222-2-222-200000000000000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000
χ1054-4-4-444-44-244-4-442-22-2-4-444-2-424-42-222-22-2-22-222-24-4-440000000000-222-200000000000000000000000000000000000000000000000000000000
χ1064-4-4-444-44-24-444-42-22-2-4-444-2-424-42-222-22-2-222-2-22-444-400000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-44-2-24-4-442-22-222-2-2-222-2221-1-11-111-1-222-2-222-20023−2323−2300001-1-11−33−33−33−33000000000000000000000000000000000000000000000000
χ1084-4-4-444-44-2-24-4-442-22-222-2-2-222-2221-1-11-111-1-222-2-222-200−2323−232300001-1-113−33−33−33−3000000000000000000000000000000000000000000000000
χ1094-4-4-444-44-2-2-444-42-22-222-2-2-222-2221-1-11-111-12-2-222-2-220023−23−23230000-111-1−33−333−33−3000000000000000000000000000000000000000000000000
χ1104-4-4-444-44-2-2-444-42-22-222-2-2-222-2221-1-11-111-12-2-222-2-2200−232323−230000-111-13−33−3−33−33000000000000000000000000000000000000000000000000
χ111888-88-8-8-8-4-40000-4-444-4-4-4444-44442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-888-8-4-40000-444-4-444-44-4444-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-4000044-4-44-44-444-44-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-888-88-8-4-400004-4-4444-444-444-4-42-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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