Finite Group Databasebeta

← Group #11817801

Character table — Group #11817801

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444412121212121212124444246666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-111-1-111-1-111-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11111-1
χ17222222222-122-1-1-1-12-1222-1-12-12222-1-1-1-1-1-1-1222200002-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1220000222200000000000020-1-1-1-10000-1-1-1-100000
χ18222222222-122-1-1-1-12-1222-1-12-12222-1-1-1-1-1-1-1222200002-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-2000000000000-2011110000111100000
χ19222222222-122-1-1-1-12-1222-1-12-122-2-2-1-1-1-1-1-1-122220000-211-1-1-2-211-2-21111-1-1-1-11111220000-2-2-2-200000000000020-1-1-1-10000111100000
χ20222222222-122-1-1-1-12-1222-1-12-122-2-2-1-1-1-1-1-1-122220000-211-1-1-2-211-2-21111-1-1-1-11111-2-200002222000000000000-2011110000-1-1-1-100000
χ21222222222-122-1-1-1-12-1222-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-1-111-2-21122-1-1-1-111111111220000-2-222000000000000-20-1-1110000-1-11100000
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χ24222222222-122-1-1-1-12-1222-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002111122-1-1-2-211111111-1-1-1-1-2-20000-2-2220000000000002011-1-10000-1-11100000
χ2522222222-12-1-12222-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-10000020000-1-1-1-1000000000
χ2622222222-12-1-12222-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200001111111100000-200001111000000000
χ2722222222-12-1-12222-12-1-1-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-22211-2-2111111-1-1-1-111110022-2-20000-1-1-1-1-1-1-1-100000-200001111000000000
χ2822222222-12-1-12222-12-1-1-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-22211-2-2111111-1-1-1-1111100-2-2220000111111110000020000-1-1-1-1000000000
χ2922222222-12-1-12222-12-1-1-122-1-1-2-222-1-1-1-1-1-1-111112222-222-2-211-2-2-1-1-1-1-1-11111111100-2-22200001111-1-1-1-100000-20000-1-111000000000
χ3022222222-12-1-12222-12-1-1-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-222-2-211-2-2-1-1-1-1-1-1111111110022-2-20000-1-1-1-11111000002000011-1-1000000000
χ3122222222-12-1-12222-12-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-2-2-2-1-1221111111111-1-1-1-100-2-2-2-200001111-1-1-1-1000002000011-1-1000000000
χ3222222222-12-1-12222-12-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2-2-2-1-1221111111111-1-1-1-10022220000-1-1-1-1111100000-20000-1-111000000000
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χ36222-2-2-22-2222-22-2-2-2222-2-22-2-22000022-2-2-2-220000−2i−2i2i2i00000000000000000000000-22000000000000−2i−2i2i2i000000-2200000000002i−2i000
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χ412-222-22-2-222-2-2-22-2222-22-2-2-2222-200-2-22-2-22222-2-200000002-2000000000022-2-200000000000000000000002i−2i2i−2i00000000000000002i−2i0
χ422-222-22-2-222-2-2-22-2222-22-2-2-2222-200-2-22-2-22222-2-200000002-2000000000022-2-20000000000000000000000−2i2i−2i2i0000000000000000−2i2i0
χ432-222-22-2-222-2-2-22-2222-22-2-2-222-2200-2-22-2-222-2-2220000000-220000000000-2-22200000000000000000000002i−2i2i−2i0000000000000000−2i2i0
χ442-222-22-2-222-2-2-22-2222-22-2-2-222-2200-2-22-2-222-2-2220000000-220000000000-2-2220000000000000000000000−2i2i−2i2i00000000000000002i−2i0
χ452-2-222-22-222-2-2-222-2-2-22222-2-220000-222-22-2-200002i−2i2i−2i00000000000000000000000000000002i−2i00002i−2i2i−2i2-2-2200000000002i−2i0000000
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χ512-2-2-2-222222-22-2-2-22-2-22-2-2222200-22-22-22-22-200002-2-220-22000000-22-2-222000000000000-22000000002-2-220000000000-2200000000000
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χ1024-4-4-4-4444-2-22-2222-222-222-2-2-21004-4-11-11-11-1−2323−232300000-2200−232300-2211-1-13−33−333−3−300000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-22-2222-222-222-2-2-2100-44-11-11-11-123−2323−23000002-200−2323002-2-1-111−33−3333−3−300000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-22-2222-222-222-2-2-2100-44-11-11-11-1−2323−2323000002-20023−23002-2-1-1113−33−3−3−33300000000000000000000000000000000000000000
χ105888-8-8-88-8-4-4-44-4444-4-4-444-4442000022-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-8-88-4-4-4-4-4-444444-444-44200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-44-444-44-4-444-44-4420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-88-8-4-4444-4-4444-4-4-4-44420000-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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