Finite Group Databasebeta

← Group #11824453

Character table — Group #11824453

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444426666666612121212121212121212121212122244444444121212121212121244442266666612121212121222442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-111-1-1-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1111111-1
χ17222222222-1222-1-1-12-1-122-1-12-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220022000000000000000200-1-1-1-1-1-1-1-10000000
χ18222222222-1222-1-1-12-1-122-1-12-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200-2-2000000000000000-200111111110000000
χ19222222222-1222-1-1-12-1-122-1-12-122-2-2-1-1-1-1-1-1-122220000-2-2-2111111-1-111-2-2-1-1-1-1111122-2-200-2-2000000000000000200-1-1-1-111110000000
χ20222222222-1222-1-1-12-1-122-1-12-122-2-2-1-1-1-1-1-1-122220000-2-2-2111111-1-111-2-2-1-1-1-11111-2-2220022000000000000000-2001111-1-1-1-10000000
χ21222222222-1222-1-1-12-1-122-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-211111111-1-1221111-1-1-1-1222200-2-2000000000000000-200-1-111-1-1110000000
χ22222222222-1222-1-1-12-1-122-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-211111111-1-1221111-1-1-1-1-2-2-2-2002200000000000000020011-1-111-1-10000000
χ23222222222-1222-1-1-12-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-11111-2-21111111122-2-20022000000000000000-200-1-11111-1-10000000
χ24222222222-1222-1-1-12-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-11111-2-211111111-2-22200-2-200000000000000020011-1-1-1-1110000000
χ2522222222-12-1-1-1222-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000220022-1-1-1-1-1-1-1-1000020-1-100000000-1-100000
χ2622222222-12-1-1-1222-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000-2-200-2-2111111110000-2011000000001100000
χ2722222222-12-1-1-1222-122-1-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-211-2-2111122-2-211-1-1-1-1111100002200-2-2-1-1-1-1-1-1-1-10000-2011000000001100000
χ2822222222-12-1-1-1222-122-1-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-2111122-2-211-1-1-1-111110000-2-2002211111111000020-1-100000000-1-100000
χ2922222222-12-1-1-1222-122-1-122-1-1-2-222-1-1-1-1-1-1-111112222-211-2-21111-2-222-1-11111-1-1-1-10000-2-20022-1-1-1-111110000-201100000000-1-100000
χ3022222222-12-1-1-1222-122-1-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-211-2-21111-2-222-1-11111-1-1-1-100002200-2-21111-1-1-1-1000020-1-1000000001100000
χ3122222222-12-1-1-1222-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-1-122-1-1-1-1-2-2-2-211111111110000-2-200-2-2-1-1-1-11111000020-1-1000000001100000
χ3222222222-12-1-1-1222-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-1-122-1-1-1-1-2-2-2-2111111111100002200221111-1-1-1-10000-201100000000-1-100000
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χ352222-2-2-2-22222-2222-2-2-22-2-2-2-2200−2i2i222-2-2-2-2000022-2-200000000000−2i2i−2i2i0000−2i−2i2i2i00000000−2i2i22-2-200000000000000000000−2i2i00000
χ362222-2-2-2-22222-2222-2-2-22-2-2-2-2200−2i2i222-2-2-2-20000-2-22200000000000−2i2i−2i2i0000−2i−2i2i2i000000002i−2i-2-222000000000000000000002i−2i00000
χ372222-2-2-2-2-12-1-112221-2-2-11-2-21-1002i−2i-1-1-1111133−3−322-2-20−i3i300−i3−i3i3i3002i−2i−ii33−3−3−i−iii000000002i−2i-1-11133−3−3000000−i3i300000000−ii00000
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χ392222-2-2-2-2-12-1-112221-2-2-11-2-21-1002i−2i-1-1-11111−3−33322-2-20i3−i300i3i3−i3−i3002i−2i−ii−3−333−i−iii000000002i−2i-1-111−3−333000000i3−i300000000−ii00000
χ402222-2-2-2-2-12-1-112221-2-2-11-2-21-1002i−2i-1-1-11111−3−333-2-2220i3−i300i3i3−i3−i3002i−2i−ii−3−333−i−iii00000000−2i2i11-1-133−3−3000000−i3i300000000i−i00000
χ412222-2-2-2-2-12-1-112221-2-2-11-2-21-100−2i2i-1-1-1111133−3−322-2-20i3−i300i3i3−i3−i300−2i2ii−i33−3−3ii−i−i00000000−2i2i-1-11133−3−3000000i3−i300000000i−i00000
χ422222-2-2-2-2-12-1-112221-2-2-11-2-21-100−2i2i-1-1-1111133−3−3-2-2220i3−i300i3i3−i3−i300−2i2ii−i33−3−3ii−i−i000000002i−2i11-1-1−3−333000000−i3i300000000−ii00000
χ432222-2-2-2-2-12-1-112221-2-2-11-2-21-100−2i2i-1-1-11111−3−33322-2-20−i3i300−i3−i3i3i300−2i2ii−i−3−333ii−i−i00000000−2i2i-1-111−3−333000000−i3i300000000i−i00000
χ442222-2-2-2-2-12-1-112221-2-2-11-2-21-100−2i2i-1-1-11111−3−333-2-2220−i3i300−i3−i3i3i300−2i2ii−i−3−333ii−i−i000000002i−2i11-1-133−3−3000000i3−i300000000−ii00000
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χ4822-2-2-22-22222-2-22-2-2-22-2-222-22200002-2-22-22-200000000000000000000000000000000000-22-22000000-22-2222-2-20000000000-220000000
χ492-22-2-2-22222-22-2-22-2222-2-2-2-2222-200-22-2-2-2222-22-200000000000002-200002-22-200000000000000000000002-22-200000000000000002-20
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χ994-4-444-4-44-2422-2-4-4424-4-22-44-2-2000022-22-2-2200004-44-4000000000000000000000000000000000-22-22000000000000000000000000000
χ1004-4-444-4-44-2422-2-4-4424-4-22-44-2-2000022-22-2-220000-44-440000000000000000000000000000000002-22-2000000000000000000000000000
χ1014-4-44-444-44-2-4-4-422-242-244-22-4-2000022-2-222-200000000000000000000000000000004-4000000000000000000000000-220000000000000
χ1024-4-44-444-44-2-4-4-422-242-244-22-4-2000022-2-222-20000000000000000000000000000000-440000000000000000000000002-20000000000000
χ1034-4-44-444-4-24222-4-44-2-44-2-24-42-2000022-2-222-200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1044-4-44-444-4-24222-4-44-2-44-2-24-42-2000022-2-222-20000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ10588-8-88-88-8-4-4-44-4-444-44-4444-44200002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-444-4444-444-4-44-4200002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-8-88-4-444-444-44-44-444-4-420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-888-8-4-444444-4-44-4-4-4-44420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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