Finite Group Databasebeta

← Group #11812897

Character table — Group #11812897

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121222224121212121212121212121212121212121212121212124444444444666612121212444424661212121212121212121222444
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-11111-1
χ17222222222-1222-1-1-12-1-12-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-1-12-1-12-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000111111110000-2011110000000000000
χ19222222222-1222-1-1-12-1-12-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2221111-2-2-2-2-1-1-1-111111111-2-222000000-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-1222-1-1-12-1-12-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2221111-2-2-2-2-1-1-1-11111111122-2-200000011111111000020-1-1-1-10000000000000
χ21222222222-1222-1-1-12-1-12-12-12-1-2-222-1-1-1-1-1-1-111112222-2-2-2-1-111-2-2221111-1-1-1-1111122-2-2000000-1-1-1-111110000-2011-1-10000000000000
χ22222222222-1222-1-1-12-1-12-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-1-111-2-2221111-1-1-1-11111-2-2220000001111-1-1-1-1000020-1-1110000000000000
χ23222222222-1222-1-1-12-1-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-1-122-2-211111111-1-1-1-1-2-2-2-2000000-1-1-1-11111000020-1-1110000000000000
χ24222222222-1222-1-1-12-1-12-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-1-122-2-211111111-1-1-1-122220000001111-1-1-1-10000-2011-1-10000000000000
χ2522222222-12-1-1-1222-122-12-12-1-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-1222-122-12-12-1-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-1-1222-122-12-12-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-2-2-21111-1-1-1-111111111000022-2-2-2-2000000000000020000-1-1-1-1111100000
χ2822222222-12-1-1-1222-122-12-12-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-2-2-21111-1-1-1-1111111110000-2-222220000000000000-200001111-1-1-1-100000
χ2922222222-12-1-1-1222-122-12-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-2-211-1-11111-1-1-1-1111100002222-2-20000000000000-2000011-1-1-1-11100000
χ3022222222-12-1-1-1222-122-12-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-2-211-1-11111-1-1-1-111110000-2-2-2-222000000000000020000-1-11111-1-100000
χ3122222222-12-1-1-1222-122-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-222-1-11111111111-1-1-1-1000022-2-2220000000000000-2000011-1-111-1-100000
χ3222222222-12-1-1-1222-122-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-222-1-11111111111-1-1-1-10000-2-222-2-2000000000000020000-1-111-1-11100000
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χ3622-2-222-2-2222-2-22-2-222-2-2-222-2200002-2-2-222-20000-2-22200000000000000000000000000000−2i2i00-2-22200002i2i−2i−2i0000000000−2i2i0000000
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χ412-22-2-22-2222-22-2-2-2-2-222-222-2220000-22-2-2-22200002-22-20000000000000000000000000002-200002-22-200000000000000002-200002-2000
χ422-22-2-22-2222-22-2-2-2-2-222-222-2220000-22-2-2-22200002-22-2000000000000000000000000000-2200002-22-20000000000000000-220000-22000
χ432-22-2-22-2222-22-2-2-2-2-222-222-2220000-22-2-2-2220000-22-220000000000000000000000000002-20000-22-2200000000000000002-20000-22000
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χ502-2-22-222-222-2-22-222-22-22-22-2-22002i−2i-2-222-22-20000-222-20002i−2i00002i−2i00002i2i−2i−2i0000−2i2i00000000-222-2000000000000−2i2i0000000000000
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χ522-2-22-222-222-2-22-222-22-22-22-2-2200−2i2i-2-222-22-20000-222-2000−2i2i0000−2i2i0000−2i−2i2i2i00002i−2i00000000-222-20000000000002i−2i0000000000000
χ532-2-22-222-22-1-2-221-1-1-2-112121-2-1002i−2i11-1-11-113−33−32-2-22000−ii−i3i3002i−2i3−33−3−i−iii−i3−i3i3i32i−2i00000000-111-13−33−3000000−i3i3−ii0000000000000
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χ582-2-22-222-22-1-2-221-1-1-2-112121-2-100−2i2i11-1-11-113−33−3-222-2000i−ii3−i300−2i2i3−33−3ii−i−ii3i3−i3−i32i−2i000000001-1-11−33−33000000−i3i3−ii0000000000000
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χ1004-4-44-444-4-2422-2-44424-4-2-4-2-42-200−4i4i22-2-22-2200000000000−4i4i00002i−2i00002i2i−2i−2i000000000000000000000000000000000000000000000
χ1014-4-44-444-4-2-222-22-2-22-22-22-2221004i−4i-1-111-11-123−2323−230000000−2i2i−2i32i300−2i2i−33−33ii−i−ii3i3−i3−i300000000000000000000000000000000000000000
χ1024-4-44-444-4-2-222-22-2-22-22-22-2221004i−4i-1-111-11-1−2323−23230000000−2i2i2i3−2i300−2i2i3−33−3ii−i−i−i3−i3i3i300000000000000000000000000000000000000000
χ1034-4-44-444-4-2-222-22-2-22-22-22-222100−4i4i-1-111-11-123−2323−2300000002i−2i2i3−2i3002i−2i−33−33−i−iii−i3−i3i3i300000000000000000000000000000000000000000
χ1044-4-44-444-4-2-222-22-2-22-22-22-222100−4i4i-1-111-11-1−2323−232300000002i−2i−2i32i3002i−2i3−33−3−i−iiii3i3−i3−i300000000000000000000000000000000000000000
χ1058888-8-8-8-8-4-4-4-44-44-4444-4-44442000022-22-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-888-8-8-4-4-444-444-4-4444-4-44200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-44-444444-4-44-4-44-420000-22-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-444444-4-44-4-444-4-420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000

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