Finite Group Databasebeta

← Group #11812920

Character table — Group #11812920

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444426666666612121212121212121212121212124444444444121212121212121222224412121212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1111
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-111-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-11111-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-111-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1
χ17222222222-1222-1-12-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-12-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000111111110000-2011110000000000000
χ19222222222-1222-1-12-122-1-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-21111112211-2-2-1-1-1-1111122-2-2000000-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-1222-1-12-122-1-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21111112211-2-2-1-1-1-11111-2-22200000011111111000020-1-1-1-10000000000000
χ21222222222-1222-1-12-122-1-1-1-12-1-2-222-1-1-1-1-1-1-111112222-2-2-2111111-2-2-1-1221111-1-1-1-1-2-2220000001111-1-1-1-10000-20-1-1110000000000000
χ22222222222-1222-1-12-122-1-1-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2111111-2-2-1-1221111-1-1-1-122-2-2000000-1-1-1-1111100002011-1-10000000000000
χ23222222222-1222-1-12-122-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-111112222222-1-1-1-1-1-1-2-211-2-211111111-2-2-2-20000001111-1-1-1-100002011-1-10000000000000
χ24222222222-1222-1-12-122-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-1-1-1-1-1-1-2-211-2-2111111112222000000-1-1-1-111110000-20-1-1110000000000000
χ2522222222-12-1-1-122-12-1-12222-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000222222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-122-12-1-12222-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-1-122-12-1-12222-1-122-2-2-1-1-1-1-1-1-122220000-211-2-21111-1-1-2-211-1-1-1-11111000022-2-2-2-2000000000000020000-1-1-1-1111100000
χ2822222222-12-1-1-122-12-1-12222-1-122-2-2-1-1-1-1-1-1-122220000-211-2-21111-1-1-2-211-1-1-1-111110000-2-222220000000000000-200001111-1-1-1-100000
χ2922222222-12-1-1-122-12-1-12222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-211111122-1-11111-1-1-1-100002222-2-20000000000000-20000-1-111-1-11100000
χ3022222222-12-1-1-122-12-1-12222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-211111122-1-11111-1-1-1-10000-2-2-2-22200000000000002000011-1-111-1-100000
χ3122222222-12-1-1-122-12-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-1-1-1-111-2-21111111111000022-2-2220000000000000-20000-1-11111-1-100000
χ3222222222-12-1-1-122-12-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-1-1-1-111-2-211111111110000-2-222-2-200000000000002000011-1-1-1-11100000
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χ3522-2-2-222-2222-2-22-2222-22-2-2-2-22000022-2-2-22-20000−2i−2i2i2i000000000000000000000000000002i−2i000000−2i−2i2i2i-2-22200000000002i−2i0000000
χ3622-2-2-222-2222-2-22-2222-22-2-2-2-22000022-2-2-22-20000−2i−2i2i2i00000000000000000000000000000−2i2i000000−2i−2i2i2i22-2-20000000000−2i2i0000000
χ372-222-22-2-222-22-2-22-2-22222-2-2-22002i−2i2-222-2-2-200002i−2i2i−2i000000000002i−2i2i−2i00002i2i−2i−2i002-200000000002i−2i2i−2i0000002-2000000000000000
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χ392-222-22-2-222-22-2-22-2-22222-2-2-2200−2i2i2-222-2-2-200002i−2i2i−2i00000000000−2i2i−2i2i0000−2i−2i2i2i00-2200000000002i−2i2i−2i000000-22000000000000000
χ402-222-22-2-222-22-2-22-2-22222-2-2-2200−2i2i2-222-2-2-20000−2i2i−2i2i00000000000−2i2i−2i2i0000−2i−2i2i2i002-20000000000−2i2i−2i2i0000002-2000000000000000
χ412-222-22-2-22-1-22-21-1-2122-1-111-2-1002i−2i-11-1-111133−3−32i−2i2i−2i000−i3i3−i3−i3i3i300−ii2i−2i33−3−3−i−iii002-2000000−i3−i3i3i3−ii−ii000000-113−30000000000000
χ422-222-22-2-22-1-22-21-1-2122-1-111-2-1002i−2i-11-1-111133−3−3−2i2i−2i2i000−i3i3−i3−i3i3i300−ii2i−2i33−3−3−i−iii00-22000000i3i3−i3−i3i−ii−i0000001-1−330000000000000
χ432-222-22-2-22-1-22-21-1-2122-1-111-2-1002i−2i-11-1-1111−3−3332i−2i2i−2i000i3−i3i3i3−i3−i300−ii2i−2i−3−333−i−iii002-2000000i3i3−i3−i3−ii−ii000000-11−330000000000000
χ442-222-22-2-22-1-22-21-1-2122-1-111-2-1002i−2i-11-1-1111−3−333−2i2i−2i2i000i3−i3i3i3−i3−i300−ii2i−2i−3−333−i−iii00-22000000−i3−i3i3i3i−ii−i0000001-13−30000000000000
χ452-222-22-2-22-1-22-21-1-2122-1-111-2-100−2i2i-11-1-111133−3−32i−2i2i−2i000i3−i3i3i3−i3−i300i−i−2i2i33−3−3ii−i−i00-22000000−i3−i3i3i3−ii−ii0000001-1−330000000000000
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χ472-222-22-2-22-1-22-21-1-2122-1-111-2-100−2i2i-11-1-1111−3−3332i−2i2i−2i000−i3i3−i3−i3i3i300i−i−2i2i−3−333ii−i−i00-22000000i3i3−i3−i3−ii−ii0000001-13−30000000000000
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χ522-22-22-22-222-2-22-2222-22-2-22-2-220000-2-22-222-20000000000000000000000000000000−2i2i000000−2i2i−2i2i−2i2i00002-22-2000000000000−2i2i00000
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χ542-2-22-2-22222-22-2-2-222-2-2-22-22222-200-2-2-22-2222-22-200000000000002-200002-22-20000000000000000000000-222-200000000000000-22000
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χ944-4-44-4-4444-2-44-4224-2-4-42-22-24-2-4400222-22-2-22-22-20000000000000-4400002-22-2000000000000000000000000000000000000000000000
χ954-4-44-4-444-242-22-4-4-2422-44-44-2-24-400222-22-2-24-44-40000000000000-220000-22-22000000000000000000000000000000000000000000000
χ964-4-44-4-444-242-22-4-4-2422-44-44-2-2-4400222-22-2-2-44-4400000000000002-200002-22-2000000000000000000000000000000000000000000000
χ974-4-44-4-444-2-22-2222-2-2222-22-2-214-400-1-1-11-111-22-220000000003-3-33-2200001-11-1-333-300000000000000000000000000000000000000000
χ984-4-44-4-444-2-22-2222-2-2222-22-2-214-400-1-1-11-111-22-22000000000-333-3-2200001-11-13-3-3300000000000000000000000000000000000000000
χ994-4-44-4-444-2-22-2222-2-2222-22-2-21-4400-1-1-11-1112-22-20000000003-3-332-20000-11-113-3-3300000000000000000000000000000000000000000
χ1004-4-44-4-444-2-22-2222-2-2222-22-2-21-4400-1-1-11-1112-22-2000000000-333-32-20000-11-11-333-300000000000000000000000000000000000000000
χ1014-4-4-444-444-2-4-4422-424-4-22-2-24-20000-2222-22-200004-4-440000000000000000000000000000000000000-222-200000000000000000000000
χ1024-4-4-444-444-2-4-4422-424-4-22-2-24-20000-2222-22-20000-444-400000000000000000000000000000000000002-2-2200000000000000000000000
χ1034-4-4-444-44-2422-2-4-42-4-224-444-2-20000-2222-22-2000000000000000000000000000000000004-40000000000000000000000-2200000000000
χ1044-4-4-444-44-2422-2-4-42-4-224-444-2-20000-2222-22-200000000000000000000000000000000000-4400000000000000000000002-200000000000
χ105888-8-8-8-88-4-4-444-4-4444-4444-4-420000-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-444-44-4-4-44-444442000022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-88-8-4-444-44-4-4-44-444-44420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-444-44444-44-44-4-4-4200002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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