Finite Group Databasebeta

← Group #11812855

Character table — Group #11812855

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212222241212121212121212121212121212121212121212121222444444446666121212124444246666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-11
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-111-1-11
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1111
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1111
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-111111111-1
χ17222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002200000000000020-1-1-1-100-1-1-1-10000000
χ18222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2000000000000-2011110011110000000
χ19222222222-1222-1-1-122-1-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-2-21111-1-1-1-11111111122-2-2000022000000000000-20-1-1110011-1-10000000
χ20222222222-1222-1-1-122-1-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-2-21111-1-1-1-111111111-2-2220000-2-20000000000002011-1-100-1-1110000000
χ21222222222-1222-1-1-122-1-12-1-12-1-2-222-1-1-1-1-1-1-122220000-2-2-211-2-211-1-11111-1-1-1-1111122-2-20000-2-200000000000020-1-1-1-10011110000000
χ22222222222-1222-1-1-122-1-12-1-12-1-2-222-1-1-1-1-1-1-122220000-2-2-211-2-211-1-11111-1-1-1-11111-2-222000022000000000000-20111100-1-1-1-10000000
χ23222222222-1222-1-1-122-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-21122-1-11111111111-1-1-1-122220000-2-2000000000000-20-1-11100-1-1110000000
χ24222222222-1222-1-1-122-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-21122-1-11111111111-1-1-1-1-2-2-2-20000220000000000002011-1-10011-1-10000000
χ2522222222-12-1-1-1222-1-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200-1-1-1-1-1-1-1-10000020000-1-10000-1-100000
χ2622222222-12-1-1-1222-1-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2001111111100000-200001100001100000
χ2722222222-12-1-1-1222-1-122-122-1-122-2-2-1-1-1-1-1-1-111112222-2-1-12211-2-2-2-2-1-1-1-111111111000022-2-200-1-1-1-1111100000-20000110000-1-100000
χ2822222222-12-1-1-1222-1-122-122-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-1-12211-2-2-2-2-1-1-1-1111111110000-2-222001111-1-1-1-10000020000-1-100001100000
χ2922222222-12-1-1-1222-1-122-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-211-2-211-2-2221111-1-1-1-111110000-2-22200-1-1-1-1-1-1-1-100000-200001100001100000
χ3022222222-12-1-1-1222-1-122-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-211-2-2221111-1-1-1-11111000022-2-200111111110000020000-1-10000-1-100000
χ3122222222-12-1-1-1222-1-122-122-1-1-2-2-2-2-1-1-1-1-1-1-111112222211-2-2-1-122-2-211111111-1-1-1-10000-2-2-2-200-1-1-1-111110000020000-1-100001100000
χ3222222222-12-1-1-1222-1-122-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2211-2-2-1-122-2-211111111-1-1-1-100002222001111-1-1-1-100000-20000110000-1-100000
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χ3622-2-2-222-22222222-2-2-2-2-2-22-2-220000222-2-2-2-20000-2-2220000000000000000000000000000000−2i2i-2-22200002i2i−2i−2i0000000000−2i2i0000000
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χ422-22-22-22-222-22-22-222-22-22-2-2-222i−2i00-22-222-2-20000-22-2202i−2i2i−2i0000002i2i−2i−2i000000000000−2i2i0000-22-2200000000000000000000−2i2i00000
χ432-22-22-22-222-22-22-222-22-22-2-2-22−2i2i00-22-222-2-200002-22-20−2i2i−2i2i000000−2i−2i2i2i000000000000−2i2i00002-22-200000000000000000000−2i2i00000
χ442-22-22-22-222-22-22-222-22-22-2-2-22−2i2i00-22-222-2-20000-22-220−2i2i−2i2i000000−2i−2i2i2i0000000000002i−2i0000-22-22000000000000000000002i−2i00000
χ452-22-22-22-2-121-112-22-112-2-1-2-21-12i−2i001-11-1-11133−3−32-22-20−ii2i−2i−i3i30000−i−iii33−3−3−i3−i3i3i300002i−2i0000-11-113−33−30000000000−i3i30000−ii00000
χ462-22-22-22-2-121-112-22-112-2-1-2-21-12i−2i001-11-1-11133−3−3-22-220−ii2i−2i−i3i30000−i−iii33−3−3−i3−i3i3i30000−2i2i00001-11-1−33−330000000000i3−i30000i−i00000
χ472-22-22-22-2-121-112-22-112-2-1-2-21-12i−2i001-11-1-111−3−3332-22-20−ii2i−2ii3−i30000−i−iii−3−333i3i3−i3−i300002i−2i0000-11-11−33−330000000000i3−i30000−ii00000
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χ492-22-22-22-2-121-112-22-112-2-1-2-21-1−2i2i001-11-1-11133−3−32-22-20i−i−2i2ii3−i30000ii−i−i33−3−3i3i3−i3−i30000−2i2i0000-11-113−33−30000000000i3−i30000i−i00000
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χ522-22-22-22-2-121-112-22-112-2-1-2-21-1−2i2i001-11-1-111−3−333-22-220i−i−2i2i−i3i30000ii−i−i−3−333−i3−i3i3i300002i−2i00001-11-13−33−30000000000i3−i30000−ii00000
χ532-2-22-2-22222-22-22-2-2-22-22-2-22220000-22-2-2-22200002-2-22000000000000000000000002-2000000002-2-2200000000002-20000000000002-20
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χ552-2-22-2-22222-22-22-2-2-22-22-2-22220000-22-2-2-2220000-222-2000000000000000000000002-200000000-222-200000000002-2000000000000-220
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χ984-4-4-444-444-24-4-422-2-4-4224-2-24-200-44-222-222-2-44-4400000000000002-200002-22-2000000000000000000000000000000000000000000000
χ994-4-4-444-44-24-222-4-4422-4-4-244-2-2004-4-222-222-2-22-2200000000000004-40000-22-22000000000000000000000000000000000000000000000
χ1004-4-4-444-44-24-222-4-4422-4-4-244-2-200-44-222-222-22-22-20000000000000-4400002-22-2000000000000000000000000000000000000000000000
χ1014-4-4-444-44-2-2-22222-22222-2-2-2-21004-41-1-11-1-11-22-220000000000000-223i−3i−3i3i1-11-13i−3i−3i3i00000000000000000000000000000000000000000
χ1024-4-4-444-44-2-2-22222-22222-2-2-2-21004-41-1-11-1-11-22-220000000000000-22−3i3i3i−3i1-11-1−3i3i3i−3i00000000000000000000000000000000000000000
χ1034-4-4-444-44-2-2-22222-22222-2-2-2-2100-441-1-11-1-112-22-200000000000002-23i−3i−3i3i-11-11−3i3i3i−3i00000000000000000000000000000000000000000
χ1044-4-4-444-44-2-2-22222-22222-2-2-2-2100-441-1-11-1-112-22-200000000000002-2−3i3i3i−3i-11-113i−3i−3i3i00000000000000000000000000000000000000000
χ105888-8-8-8-88-4-444-44-44-44-4444-4-420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-4-4-4-4-4444444-44420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-4-444444-4-4-4-44-444200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-8-888-4-44-44-4444-44-444-4-420000-22-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000

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