Finite Group Databasebeta

← Group #11819109

Character table — Group #11819109

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212124444444444121212121212121244444412121212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-111-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-111-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11111-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1111111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11
χ17222222222-1222-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1222200002-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1220022002200000000000002-1-100-1-1-1-1-1-10000000
χ18222222222-1222-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1222200002-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-20000000000000-211001111110000000
χ19222222222-1222-1-12-1-12-12-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-111-2-211-2-2-1-1-1-11111111122002200-2-20000000000000-2-1-100-1-111110000000
χ20222222222-1222-1-12-1-12-12-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-111-2-211-2-2-1-1-1-111111111-2-200-2-2002200000000000002110011-1-1-1-10000000
χ21222222222-1222-1-12-1-12-12-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-1-12211-2-21111-1-1-1-111112200-2-200220000000000000-2-1-10011-1-1110000000
χ22222222222-1222-1-12-1-12-12-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-1-12211-2-21111-1-1-1-11111-2-2002200-2-2000000000000021100-1-111-1-10000000
χ23222222222-1222-1-12-1-12-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021111-2-2-1-12211111111-1-1-1-12200-2-200-2-200000000000002-1-1001111-1-10000000
χ24222222222-1222-1-12-1-12-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021111-2-2-1-12211111111-1-1-1-1-2-2002200220000000000000-21100-1-1-1-1110000000
χ2522222222-12-1-1-122-122-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-100002000-1-1000000-1-100000
χ2622222222-12-1-1-122-122-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200111111110000-2000110000001100000
χ2722222222-12-1-1-122-122-12-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-2-211-2-211-1-1-1-11111111100-2-2002200-1-1-1-1-1-1-1-10000-2000110000001100000
χ2822222222-12-1-1-122-122-12-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-2-211-2-211-1-1-1-111111111002200-2-2001111111100002000-1-1000000-1-100000
χ2922222222-12-1-1-122-122-12-122-1-1-2-222-1-1-1-1-1-1-111112222-2-2-222-1-1-2-2111111-1-1-1-11111002200-2-2001111-1-1-1-10000-2000-1-10000001100000
χ3022222222-12-1-1-122-122-12-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-222-1-1-2-2111111-1-1-1-1111100-2-2002200-1-1-1-111110000200011000000-1-100000
χ3122222222-12-1-1-122-122-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-2-2-21122-1-111111111-1-1-1-100-2-200-2-2001111-1-1-1-10000200011000000-1-100000
χ3222222222-12-1-1-122-122-12-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2-2-21122-1-111111111-1-1-1-10022002200-1-1-1-111110000-2000-1-10000001100000
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χ34222-2-22-2-22222-22222-2-2-2-2-2-2-222-20022-2-22-2-222-2-2000002-20000000022-2-200000000000000000000000000-2-22200000000000000-22000
χ35222-2-22-2-22222-22222-2-2-2-2-2-2-22-220022-2-22-2-2-2-22200000-2200000000-2-2220000000000000000000000000022-2-200000000000000-22000
χ36222-2-22-2-22222-22222-2-2-2-2-2-2-22-220022-2-22-2-2-2-22200000-2200000000-2-22200000000000000000000000000-2-222000000000000002-2000
χ3722-22-2-2-22222-222-2-2-2-222-2-22-2200002-222-2-2-2000000000000000000000000000000000002i−2i2-20022-2-200002i−2i2i−2i0000002i−2i00000000000
χ3822-22-2-2-22222-222-2-2-2-222-2-22-2200002-222-2-2-2000000000000000000000000000000000002i−2i-2200-2-2220000−2i2i−2i2i0000002i−2i00000000000
χ3922-22-2-2-22222-222-2-2-2-222-2-22-2200002-222-2-2-200000000000000000000000000000000000−2i2i2-20022-2-20000−2i2i−2i2i000000−2i2i00000000000
χ4022-22-2-2-22222-222-2-2-2-222-2-22-2200002-222-2-2-200000000000000000000000000000000000−2i2i-2200-2-22200002i−2i2i−2i000000−2i2i00000000000
χ4122-2-22-22-2222-2-22-2-2-22-2-222-22200002-2-2-2-222000022-2-2000000000000000000000002i−2i00000000000022-2-22i−2i−2i2i002i−2i000000000000000
χ4222-2-22-22-2222-2-22-2-2-22-2-222-22200002-2-2-2-222000022-2-200000000000000000000000−2i2i00000000000022-2-2−2i2i2i−2i00−2i2i000000000000000
χ4322-2-22-22-2222-2-22-2-2-22-2-222-22200002-2-2-2-2220000-2-222000000000000000000000002i−2i000000000000-2-222−2i2i2i−2i002i−2i000000000000000
χ4422-2-22-22-2222-2-22-2-2-22-2-222-22200002-2-2-2-2220000-2-22200000000000000000000000−2i2i000000000000-2-2222i−2i−2i2i00−2i2i000000000000000
χ452-22-2-2-22222-2-2-2-2-222-22-2-222220000-2-22-222-200002-22-200000000000000000000000000000002-200002-22-20000000000002-20000002-20
χ462-22-2-2-22222-2-2-2-2-222-22-2-222220000-2-22-222-200002-22-20000000000000000000000000000000-2200002-22-2000000000000-22000000-220
χ472-22-2-2-22222-2-2-2-2-222-22-2-222220000-2-22-222-20000-22-2200000000000000000000000000000002-20000-22-220000000000002-2000000-220
χ482-22-2-2-22222-2-2-2-2-222-22-2-222220000-2-22-222-20000-22-220000000000000000000000000000000-220000-22-22000000000000-220000002-20
χ492-2-22-222-222-222-22-2-2-2-22-22-222002i−2i-22-22-22-200002-2-220002i−2i2i−2i000000002i2i−2i−2i0000002i−2i00000000002-2-22000000002i−2i0000000000000
χ502-2-22-222-222-222-22-2-2-2-22-22-222002i−2i-22-22-22-20000-222-20002i−2i2i−2i000000002i2i−2i−2i000000−2i2i0000000000-222-200000000−2i2i0000000000000
χ512-2-22-222-222-222-22-2-2-2-22-22-22200−2i2i-22-22-22-200002-2-22000−2i2i−2i2i00000000−2i−2i2i2i000000−2i2i00000000002-2-2200000000−2i2i0000000000000
χ522-2-22-222-222-222-22-2-2-2-22-22-22200−2i2i-22-22-22-20000-222-2000−2i2i−2i2i00000000−2i−2i2i2i0000002i−2i0000000000-222-2000000002i−2i0000000000000
χ532-2-22-222-2-121-1-1-221-2-21212-2-1-1002i−2i1-11-11-113−33−32-2-220002i−2i−ii00−i3i33−33−3−i−iii−i3−i3i3i3002i−2i0000003−33−3-111-100000000−ii000000−i3i300000
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χ552-2-22-222-2-121-1-1-221-2-21212-2-1-1002i−2i1-11-11-11−33−332-2-220002i−2i−ii00i3−i3−33−33−i−iiii3i3−i3−i3002i−2i000000−33−33-111-100000000−ii000000i3−i300000
χ562-2-22-222-2-121-1-1-221-2-21212-2-1-1002i−2i1-11-11-11−33−33-222-20002i−2i−ii00i3−i3−33−33−i−iiii3i3−i3−i300−2i2i0000003−33−31-1-1100000000i−i000000−i3i300000
χ572-2-22-222-2-121-1-1-221-2-21212-2-1-100−2i2i1-11-11-113−33−32-2-22000−2i2ii−i00i3−i33−33−3ii−i−ii3i3−i3−i300−2i2i0000003−33−3-111-100000000i−i000000i3−i300000
χ582-2-22-222-2-121-1-1-221-2-21212-2-1-100−2i2i1-11-11-113−33−3-222-2000−2i2ii−i00i3−i33−33−3ii−i−ii3i3−i3−i3002i−2i000000−33−331-1-1100000000−ii000000−i3i300000
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χ984-4-4-444-444-2-44-42-2-42-24242-2-4-200002-2-2222-2000000000000000−23230000000000−232323−2300000000000000000000000000000000000000000
χ994-4-4-444-44-242-22-442-44-2-4-2-442-200002-2-2222-223−23−232300000000000000023−23−23230000000000000000000000000000000000000000000000000
χ1004-4-4-444-44-242-22-442-44-2-4-2-442-200002-2-2222-2−232323−23000000000000000−232323−230000000000000000000000000000000000000000000000000
χ1014-4-4-444-44-2-22-222-222-2-22-22-2210000-111-1-1-1123−23−23230000000000023−2300−333−33-3-33−333−300000000000000000000000000000000000000000
χ1024-4-4-444-44-2-22-222-222-2-22-22-2210000-111-1-1-1123−23−232300000000000−232300−333−3-333-33−3−3300000000000000000000000000000000000000000
χ1034-4-4-444-44-2-22-222-222-2-22-22-2210000-111-1-1-11−232323−230000000000023−23003−3−33-333-3−333−300000000000000000000000000000000000000000
χ1044-4-4-444-44-2-22-222-222-2-22-22-2210000-111-1-1-11−232323−2300000000000−2323003−3−333-3-333−3−3300000000000000000000000000000000000000000
χ10588-88-8-8-88-4-4-44-4-44444-4-444-44200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-444-4444-444-4-44-4200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-444-444-4-4-44-4-444420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-8-888-4-444444-4-44-444-4-4-420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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