Finite Group Databasebeta

← Group #11813009

Character table — Group #11813009

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212124444444444121212121212121222224412121212121212121212121222442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111
χ6111111111111111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1111
χ91111111111111111111111111-1-1111111111-1-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-111-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-11111-1
χ17222222222-122-1-122-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000022-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-122-1-122-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2111111110000-2011110000000000000
χ19222222222-122-1-122-122-1-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-222-2-211111111-1-1-1-11111-2-200000022-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-122-1-122-122-1-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-222-2-211111111-1-1-1-1111122000000-2-211111111000020-1-1-1-10000000000000
χ21222222222-122-1-122-122-1-1-1-12-1-2-222-1-1-1-1-1-1-111112222-222-2-2-2-211-1-1-1-1-1-11111111122000000-2-2-1-1-1-111110000-20-1-1110000000000000
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χ23222222222-122-1-122-122-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-2-2-222-1-11111111111-1-1-1-1-2-2000000-2-2-1-1-1-1111100002011-1-10000000000000
χ24222222222-122-1-122-122-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2-2-222-1-11111111111-1-1-1-122000000221111-1-1-1-10000-20-1-1110000000000000
χ2522222222-12-1-122-1-12-1-12222-1-12222-1-1-1-1-1-1-1222200002-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022222200000000000000020000-1-1-1-1-1-1-1-100000
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χ2722222222-12-1-122-1-12-1-12222-1-122-2-2-1-1-1-1-1-1-122220000-211-1-111-2-2-2-21111-1-1-1-111110022-2-2-2-200000000000000020000-1-1-1-1111100000
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χ2922222222-12-1-122-1-12-1-12222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-1-11111-2-222-1-1-1-111111111002222-2-2000000000000000-20000-1-111-1-11100000
χ3022222222-12-1-122-1-12-1-12222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-1-11111-2-222-1-1-1-11111111100-2-2-2-2220000000000000002000011-1-111-1-100000
χ3122222222-12-1-122-1-12-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021111-1-122-2-211111111-1-1-1-10022-2-222000000000000000-20000-1-11111-1-100000
χ3222222222-12-1-122-1-12-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021111-1-122-2-211111111-1-1-1-100-2-222-2-20000000000000002000011-1-1-1-11100000
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χ36222-2-22-2-2222-22-2-2222-22-2-2-2-22000022-2-2-2-220000−2i−2i2i2i000000000000000000000000000−2i2i0000−2i−2i2i2i000022-2-20000000000−2i2i0000000
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χ4122-2-22-2-2222222-22-2-2-2-2-2-222-22002-22-2-2-222-200002i−2i−2i2i02-20000002-222-2-2000000002i−2i000000002i−2i−2i2i00000000002i−2i000000000000000
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χ4422-2-22-2-2222222-22-2-2-2-2-2-222-2200-222-2-2-222-20000−2i2i2i−2i0-22000000-22-2-222000000002i−2i00000000−2i2i2i−2i00000000002i−2i000000000000000
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χ4922-2-22-2-222-122-112-21-2-211-1-1-2-100-22-1111-1-1133−3−32i−2i−2i2i0-220000−331-111-1-133−3−3−3−333−2i2i00000000−iii−i−i3−i3i3i3000000i−ii3−i30000000000000
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χ984-4-44-44-44-2-2222-2-222-2-2-222-2210000-111-1-11-1−232323−2300000000023−2300003-3-333−3−33−333−300000000000000000000000000000000000000000
χ994-4-44-44-44-2-2222-2-222-2-2-222-2210000-111-1-11-1−232323−23000000000−23230000-333-33−3−333−3−3300000000000000000000000000000000000000000
χ1004-4-4-4444-444-44-4-4-4-4-44-4444-4440000-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-2-4422-4-424-4-2-2-224-200002-22-2-22200000000000000000000000000000000000000000000023−23−232300000000000000000000000
χ1024-4-4-4444-44-2-4422-4-424-4-2-2-224-200002-22-2-222000000000000000000000000000000000000000000000−232323−2300000000000000000000000
χ1034-4-4-4444-4-242-2-4-422-4-22444-4-2-200002-22-2-222000000000000000000000000000000000000000000000000000000000000023−23000000000
χ1044-4-4-4444-4-242-2-4-422-4-22444-4-2-200002-22-2-2220000000000000000000000000000000000000000000000000000000000000−2323000000000
χ105888-8-88-8-8-4-4-44-444-4-4-44-444442000022-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-88-8-4-4-44-4-44444-44-444-4200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-44-44-4-44-444-44420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-44-444444-44-4-4-44-420000-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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