Finite Group Databasebeta

← Group #11812891

Character table — Group #11812891

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212222226666666612121212121212121212121212122244444444666612121212444444661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1111
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-1-1-1111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-111-1-11
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111111-1-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-11111-1
χ17222222222-1222-1-1-122-12-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100000200-1-1-1-100000000000
χ18222222222-1222-1-1-122-12-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-2-2-200001111111100000-200111100000000000
χ19222222222-1222-1-1-122-12-1-1-12-122-2-2-1-1-1-1-1-1-111112222-2-2-211111122-1-1-2-2-1-1-1-1111100-2-2220000-1-1-1-1111100000-200-1-11100000000000
χ20222222222-1222-1-1-122-12-1-1-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-2-211111122-1-1-2-2-1-1-1-111110022-2-200001111-1-1-1-10000020011-1-100000000000
χ21222222222-1222-1-1-122-12-1-1-12-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2111111-2-211221111-1-1-1-10022-2-20000-1-1-1-1-1-1-1-100000-200111100000000000
χ22222222222-1222-1-1-122-12-1-1-12-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2111111-2-211221111-1-1-1-100-2-22200001111111100000200-1-1-1-100000000000
χ23222222222-1222-1-1-122-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-111112222222-1-1-1-1-1-1-2-211-2-21111111100-2-2-2-20000-1-1-1-111110000020011-1-100000000000
χ24222222222-1222-1-1-122-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-1-1-1-1-1-1-2-211-2-21111111100222200001111-1-1-1-100000-200-1-11100000000000
χ2522222222-12-1-1-1222-1-12-1222-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000222200000000000020-1-10000-1-1-1-1-1-100000
χ2622222222-12-1-1-1222-1-12-1222-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-2000000000000-2011000011111100000
χ2722222222-12-1-1-1222-1-12-1222-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-211-2-21111-1-12211-1-1-1-1111122000022-2-2000000000000-20-1-1000011-1-11100000
χ2822222222-12-1-1-1222-1-12-1222-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-211-2-21111-1-12211-1-1-1-11111-2-20000-2-22200000000000020110000-1-111-1-100000
χ2922222222-12-1-1-1222-1-12-1222-1-1-2-222-1-1-1-1-1-1-122220000-211-2-2111111-2-2-1-11111-1-1-1-1220000-2-2-2-200000000000020-1-10000-1-1111100000
χ3022222222-12-1-1-1222-1-12-1222-1-1-2-222-1-1-1-1-1-1-122220000-211-2-2111111-2-2-1-11111-1-1-1-1-2-200002222000000000000-2011000011-1-1-1-100000
χ3122222222-12-1-1-1222-1-12-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-1-1-1-111-2-21111111111220000-2-222000000000000-20-1-100001111-1-100000
χ3222222222-12-1-1-1222-1-12-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-1-1-1-111-2-21111111111-2-2000022-2-200000000000020110000-1-1-1-11100000
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χ3622-2-22-22-22222-22-2-22-2-2-22-22-22000022-2-2-22-20000-2-22200000000000000000000000000000−2i2i00-2-22200002i2i−2i−2i0000000000−2i2i0000000
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χ412-22-2-2-222222-2-2-2-2-2-222-222-22200002-2-22-2-2200002-22-2000000000000000000000002-2000000002-22-200000000002-200000000002-2000
χ422-22-2-2-222222-2-2-2-2-2-222-222-22200002-2-22-2-2200002-22-200000000000000000000000-22000000002-22-20000000000-220000000000-22000
χ432-22-2-2-222222-2-2-2-2-2-222-222-22200002-2-22-2-220000-22-22000000000000000000000002-200000000-22-2200000000002-20000000000-22000
χ442-22-2-2-222222-2-2-2-2-2-222-222-22200002-2-22-2-220000-22-2200000000000000000000000-2200000000-22-220000000000-2200000000002-2000
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χ462-2-22-222-2222-22-222-2-2-222-2-2-222i−2i002-22-22-2-20000-222-20000000002i−2i2i−2i002i2i−2i−2i00000000−2i2i0000-222-2000000000000−2i2i0000000000000
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χ974-4-44-444-4-2-2-22-22-2-2222-2-222214i−4i001-11-11-1-123−2323−230000000−2i32i3i3i3−i3−i3−2i2i−2i2i00ii−i−i−33−3300000000000000000000000000000000000000000
χ984-4-44-444-4-2-2-22-22-2-2222-2-222214i−4i001-11-11-1-1−2323−232300000002i3−2i3−i3−i3i3i3−2i2i−2i2i00ii−i−i3−33−300000000000000000000000000000000000000000
χ994-4-44-444-4-2-2-22-22-2-2222-2-22221−4i4i001-11-11-1-123−2323−2300000002i3−2i3−i3−i3i3i32i−2i2i−2i00−i−iii−33−3300000000000000000000000000000000000000000
χ1004-4-44-444-4-2-2-22-22-2-2222-2-22221−4i4i001-11-11-1-1−2323−23230000000−2i32i3i3i3−i3−i32i−2i2i−2i00−i−iii3−33−300000000000000000000000000000000000000000
χ1014-4-4-444-444-2-4-4422-24-42-42-2-24-20000222-2-2-220000000000000000000000000000000004-40000000000-22-2200000000000000000000000
χ1024-4-4-444-444-2-4-4422-24-42-42-2-24-20000222-2-2-22000000000000000000000000000000000-4400000000002-22-200000000000000000000000
χ1034-4-4-444-44-2422-2-4-44-22-42-444-2-20000222-2-2-220000000000000000000000000000000000000004-4000000000000000000000000-2200000
χ1044-4-4-444-44-2422-2-4-44-22-42-444-2-20000222-2-2-22000000000000000000000000000000000000000-440000000000000000000000002-200000
χ105888-8-88-8-8-4-44-4-4-44-44-4-44444420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-4-44-444-4444-44-442000022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-4-4444444-4-44-4-44-4200002-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-444-444-4-44444-4-4-420000-2-2-2222-2000000000000000000000000000000000000000000000000000000000000000000000000

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