Finite Group Databasebeta

← Group #11811920

Character table — Group #11811920

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121222222244446666121212124444446666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-1-1-1111
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111-1-1111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-11-1-1-1-1-1-11111-1-111-1-11
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11111-1-11
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-111-1-111-1-1111111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11
χ17222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222002200000000000002-1-1-1-100-1-1-1-10000000
χ18222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200-2-20000000000000-211110011110000000
χ19222222222-1222-1-1-122-1-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-2-21111-1-1-1-1111111110022-2-200220000000000000-2-1-11100-1-1110000000
χ20222222222-1222-1-1-122-1-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-2-21111-1-1-1-11111111100-2-22200-2-20000000000000211-1-10011-1-10000000
χ21222222222-1222-1-1-122-1-12-1-12-1-2-222-1-1-1-1-1-1-122220000-2-2-211-2-211-1-11111-1-1-1-1111100222200-2-20000000000000-2-1-1-1-10011110000000
χ22222222222-1222-1-1-122-1-12-1-12-1-2-222-1-1-1-1-1-1-122220000-2-2-211-2-211-1-11111-1-1-1-1111100-2-2-2-2002200000000000002111100-1-1-1-10000000
χ23222222222-1222-1-1-122-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-21122-1-11111111111-1-1-1-10022-2-200-2-200000000000002-1-1110011-1-10000000
χ24222222222-1222-1-1-122-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-21122-1-11111111111-1-1-1-100-2-22200220000000000000-211-1-100-1-1110000000
χ2522222222-12-1-1-1222-1-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200002200-1-1-1-1-1-1-1-10000200000-1-10000-1-100000
χ2622222222-12-1-1-1222-1-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-200111111110000-2000001100001100000
χ2722222222-12-1-1-1222-1-122-122-1-122-2-2-1-1-1-1-1-1-111112222-2-1-12211-2-2-2-2-1-1-1-111111111-2-2000022001111-1-1-1-10000-200000-1-100001100000
χ2822222222-12-1-1-1222-1-122-122-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-1-12211-2-2-2-2-1-1-1-111111111220000-2-200-1-1-1-111110000200000110000-1-100000
χ2922222222-12-1-1-1222-1-122-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-211-2-211-2-2221111-1-1-1-11111220000-2-200-1-1-1-1-1-1-1-10000-2000001100001100000
χ3022222222-12-1-1-1222-1-122-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-211-2-2221111-1-1-1-11111-2-200002200111111110000200000-1-10000-1-100000
χ3122222222-12-1-1-1222-1-122-122-1-1-2-2-2-2-1-1-1-1-1-1-111112222211-2-2-1-122-2-211111111-1-1-1-1-2-20000-2-2001111-1-1-1-10000200000110000-1-100000
χ3222222222-12-1-1-1222-1-122-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2211-2-2-1-122-2-211111111-1-1-1-12200002200-1-1-1-111110000-200000-1-100001100000
χ3322-2-2-2-222222-2-22-2-22-22-2-2-222200002-2-2-222-2000022-2-200000000000000000000000002-2000000000022-2-222-2-2002-2000000000000000
χ3422-2-2-2-222222-2-22-2-22-22-2-2-222200002-2-2-222-2000022-2-20000000000000000000000000-22000000000022-2-2-2-22200-22000000000000000
χ3522-2-2-2-222222-2-22-2-22-22-2-2-222200002-2-2-222-20000-2-22200000000000000000000000002-20000000000-2-222-2-222002-2000000000000000
χ3622-2-2-2-222222-2-22-2-22-22-2-2-222200002-2-2-222-20000-2-2220000000000000000000000000-220000000000-2-22222-2-200-22000000000000000
χ372-222-2-22-222-22-2-2-2-22222-22-2-220000-22-2-22-2200002i−2i2i−2i00000000000000000000000000000002-200002i−2i2i−2i0000000000002-200002i−2i000
χ382-222-2-22-222-22-2-2-2-22222-22-2-220000-22-2-22-2200002i−2i2i−2i0000000000000000000000000000000-2200002i−2i2i−2i000000000000-220000−2i2i000
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χ412-22-2-22-2222-2-22-22-2-22-22-2-22220000-2-22-2-22200000000000000000000000000000002-2002-2000022-2-200002-22-200002-20000000000000
χ422-22-2-22-2222-2-22-22-2-22-22-2-22220000-2-22-2-22200000000000000000000000000000002-200-22000022-2-20000-22-220000-220000000000000
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χ452-2-222-2-2222-22-2-2-22-2-2-2-222222002-2-22-22-22-222-2-200000000000002-2000022-2-200000000000000000000002-2-2200000000000000002-20
χ462-2-222-2-2222-22-2-2-22-2-2-2-222222002-2-22-22-22-222-2-200000000000002-2000022-2-20000000000000000000000-222-20000000000000000-220
χ472-2-222-2-2222-22-2-2-22-2-2-2-22222200-22-22-22-22-2-2-2220000000000000-220000-2-22200000000000000000000002-2-220000000000000000-220
χ482-2-222-2-2222-22-2-2-22-2-2-2-22222200-22-22-22-22-2-2-2220000000000000-220000-2-2220000000000000000000000-222-200000000000000002-20
χ492-2-2-2222-222-2-22-2222-22-22-2-2-222i−2i00-2-2222-2-200002i−2i−2i2i02i−2i2i−2i0000002i2i−2i−2i000000000000002-20000002i−2i−2i2i00000000002-200000000000
χ502-2-2-2222-222-2-22-2222-22-22-2-2-222i−2i00-2-2222-2-20000−2i2i2i−2i02i−2i2i−2i0000002i2i−2i−2i00000000000000-22000000−2i2i2i−2i0000000000-2200000000000
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χ522-2-2-2222-222-2-22-2222-22-22-2-2-22−2i2i00-2-2222-2-20000−2i2i2i−2i0−2i2i−2i2i000000−2i−2i2i2i000000000000002-2000000−2i2i2i−2i00000000002-200000000000
χ532-2-2-2222-2-1211-1-222-112-2-1-2-21-12i−2i0011-1-1-1113−33−32i−2i−2i2i0−ii2i−2i−i3i30000−i−iii3−33−3−i3−i3i3i30000002-200−i3i3−i3i3−iii−i0000000000-1100003−300000
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χ552-2-2-2222-2-1211-1-222-112-2-1-2-21-12i−2i0011-1-1-111−33−332i−2i−2i2i0−ii2i−2ii3−i30000−i−iii−33−33i3i3−i3−i30000002-200i3−i3i3−i3−iii−i0000000000-110000−3300000
χ562-2-2-2222-2-1211-1-222-112-2-1-2-21-12i−2i0011-1-1-111−33−33−2i2i2i−2i0−ii2i−2ii3−i30000−i−iii−33−33i3i3−i3−i3000000-2200−i3i3−i3i3i−i−ii00000000001-100003−300000
χ572-2-2-2222-2-1211-1-222-112-2-1-2-21-1−2i2i0011-1-1-1113−33−32i−2i−2i2i0i−i−2i2ii3−i30000ii−i−i3−33−3i3i3−i3−i3000000-2200−i3i3−i3i3−iii−i00000000001-10000−3300000
χ582-2-2-2222-2-1211-1-222-112-2-1-2-21-1−2i2i0011-1-1-1113−33−3−2i2i2i−2i0i−i−2i2ii3−i30000ii−i−i3−33−3i3i3−i3−i30000002-200i3−i3i3−i3i−i−ii0000000000-1100003−300000
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χ984-4-444-4-44-2-22-2222-22222-2-2-2-2100-44-11-11-11-122-2-200000000000002-2−3i3i3i−3i-1-1113i−3i−3i3i00000000000000000000000000000000000000000
χ994-4-4-4444-44-2-4-442-2-24-4-22422-4-24i−4i0022-2-2-2220000000004i−4i−2i2i000000−2i−2i2i2i0000000000000000000000000000000000000000000000000
χ1004-4-4-4444-44-2-4-442-2-24-4-22422-4-2−4i4i0022-2-2-222000000000−4i4i2i−2i0000002i2i−2i−2i0000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-222-22-2-2-22-22-222214i−4i00-1-1111-1-123−2323−2300000−2i2i−2i2i−2i32i30000ii−i−i−33−33i3i3−i3−i300000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-222-22-2-2-22-22-222214i−4i00-1-1111-1-1−2323−232300000−2i2i−2i2i2i3−2i30000ii−i−i3−33−3−i3−i3i3i300000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-222-22-2-2-22-22-22221−4i4i00-1-1111-1-123−2323−23000002i−2i2i−2i2i3−2i30000−i−iii−33−33−i3−i3i3i300000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-222-22-2-2-22-22-22221−4i4i00-1-1111-1-1−2323−2323000002i−2i2i−2i−2i32i30000−i−iii3−33−3i3i3−i3−i300000000000000000000000000000000000000000
χ10588-88-88-8-8-4-4-4-4-4-4-4444444-44420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-4-444-444-44-4444-4-4200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-44-44444-4-4-4-44-44420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-88-88-4-444-44-444-44-444-4-420000-2-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000

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