Finite Group Databasebeta

← Group #11819106

Character table — Group #11819106

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444466661212121244444412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-111-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-11-1-1-1-111-1-111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11
χ17222222222-122-1-1-1-1-122222-1-1-12222-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000022-1-1-1-1-1-1-1-1000020000000-1-100-1-100000
χ18222222222-122-1-1-1-1-122222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2111111110000-2000000011001100000
χ19222222222-122-1-1-1-1-122222-1-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-2-2-2-211111111-1-1-1-1111122000000-2-2-1-1-1-1-1-1-1-10000-2000000011001100000
χ20222222222-122-1-1-1-1-122222-1-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-2-2-2-211111111-1-1-1-11111-2-20000002211111111000020000000-1-100-1-100000
χ21222222222-122-1-1-1-1-122222-1-1-1-2-222-1-1-1-1-1-1-111112222-2-2-2-2-222-1-111-1-1-1-111111111-2-2000000221111-1-1-1-10000-20000000-1-1001100000
χ22222222222-122-1-1-1-1-122222-1-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-222-1-111-1-1-1-11111111122000000-2-2-1-1-1-111110000200000001100-1-100000
χ23222222222-122-1-1-1-1-122222-1-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-222-2-211-1-111111111-1-1-1-1-2-2000000-2-21111-1-1-1-10000200000001100-1-100000
χ24222222222-122-1-1-1-1-122222-1-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-222-2-211-1-111111111-1-1-1-12200000022-1-1-1-111110000-20000000-1-1001100000
χ2522222222-12-1-122222-1-1-1-1-122-12222-1-1-1-1-1-1-1222200002-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222220000000000000002-1-1-1-1-1-100-1-10000000
χ2622222222-12-1-122222-1-1-1-1-122-12222-1-1-1-1-1-1-1222200002-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2000000000000000-211111100110000000
χ2722222222-12-1-122222-1-1-1-1-122-122-2-2-1-1-1-1-1-1-122220000-2-1-11111-2-2-2-21111-1-1-1-11111002222-2-2000000000000000-2-1-1-1-11100110000000
χ2822222222-12-1-122222-1-1-1-1-122-122-2-2-1-1-1-1-1-1-122220000-2-1-11111-2-2-2-21111-1-1-1-1111100-2-2-2-22200000000000000021111-1-100-1-10000000
χ2922222222-12-1-122222-1-1-1-1-122-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21111-1-122-2-2-1-1-1-1111111110022-2-222000000000000000-2-1-111-1-100110000000
χ3022222222-12-1-122222-1-1-1-1-122-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21111-1-122-2-2-1-1-1-11111111100-2-222-2-2000000000000000211-1-11100-1-10000000
χ3122222222-12-1-122222-1-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-1-111-2-22211111111-1-1-1-10022-2-2-2-20000000000000002-1-1111100-1-10000000
χ3222222222-12-1-122222-1-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-1-111-2-22211111111-1-1-1-100-2-22222000000000000000-211-1-1-1-100110000000
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χ3722-22-2-2-22222-22-2-22-2-2-22-222-222i−2i002-2-22-22-22i2i−2i−2i000002i−2i0000000000002i2i−2i−2i00000000000000000000002i−2i2i−2i00000000000000002-20
χ3822-22-2-2-22222-22-2-22-2-2-22-222-222i−2i002-2-22-22-22i2i−2i−2i000002i−2i0000000000002i2i−2i−2i0000000000000000000000−2i2i−2i2i0000000000000000-220
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χ4122-2-22-22-2222-22-2-2-222-2-22-2-22200002-2-2-22-22000022-2-200000000000000000000000002i−2i000000000022-2-22i−2i−2i2i002i−2i000000000000000
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χ4322-2-22-22-2222-22-2-2-222-2-22-2-22200002-2-2-22-220000-2-22200000000000000000000000002i−2i0000000000-2-222−2i2i2i−2i002i−2i000000000000000
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χ562-22-22-2-222-1-2-21-111122-2-22-1-1-100-221-1111-1-1i3−i3i3−i3-22-2200000-221-1−i3i311-1-1i3−i3i3−i3−i3−i3i3i3000000002-2−i3i3−i3i31-11-1000000000000-1100i3−i300000
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χ964-4-4-4-444444-44-4-44-44-4-4-4444-440000-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-4-4-44444-2-4422-22-2-4-4-444-22-2000022-22-2-2223−23−2323000000000000000000023−23−2323000000000000000000000000000000000000000000000
χ984-4-4-4-44444-2-4422-22-2-4-4-444-22-2000022-22-2-22−232323−230000000000000000000−232323−23000000000000000000000000000000000000000000000
χ994-4-4-4-4444-242-2-4-44-44222-2-24-4-2000022-22-2-220000000000023−230000000000000023−23−232300000000000000000000000000000000000000000
χ1004-4-4-4-4444-242-2-4-44-44222-2-24-4-2000022-22-2-2200000000000−232300000000000000−232323−2300000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-22-222-22-2222-2-2-2210000-1-11-111-123−23−2323000000023−23000000-333-3−333−3−333−300000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-22-222-22-2222-2-2-2210000-1-11-111-123−23−23230000000−23230000003-3-33−333−33−3−3300000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-22-222-22-2222-2-2-2210000-1-11-111-1−232323−23000000023−230000003-3-333−3−33−333−300000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-22-222-22-2222-2-2-2210000-1-11-111-1−232323−230000000−2323000000-333-33−3−333−3−3300000000000000000000000000000000000000000
χ105888-8-88-8-8-4-4-4-4-4-4-4444-44444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-44-4444-4-444-444-4200002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-4444-44-4-44-4-4-444420000-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8888-8-8-4-44-444-4-44-44-4444-420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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