Finite Group Databasebeta

← Group #11776590

Character table — Group #11776590

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222224444444444444444488888888888888888888888888888888888888888816161616161616161818363636727272727272
order122233334444666666666666412121212121212121212121212121212448888121212122424242424242424242424242424242424242424242424242424242424242424121212121212121222444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1
χ611111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ911111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1111-1-11-1i−ii−i
χ1011111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-111-11−ii−ii
χ1111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1111-1-11-1−ii−ii
χ1211111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-111-11i−ii−i
χ1311111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111111-1-1-11i−i−ii
χ1411111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1111-1−iii−i
χ1511111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111111-1-1-11−iii−i
χ1611111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1111-1i−i−ii
χ17222222222-22-2222222222222-22222-2-2-2-22222-2-2-2-2000000-2-2-2-2000000000000000000000000000000000000000022-22-2000000
χ18222222222-22-2222222222222-22222-2-2-2-22222-2-2-2-2000000-2-2-2-20000000000000000000000000000000000000000-2-22-22000000
χ1922222222-22-22222222222222-2-2-2-2-22222-2-2-2-22222000000-2-2-2-2000000000000000000000000000000000000000022-2-22000000
χ2022222222-22-22222222222222-2-2-2-2-22222-2-2-2-22222000000-2-2-2-20000000000000000000000000000000000000000-2-222-2000000
χ2122222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000000000
χ2222222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-2-2-2-22-1-1-1-2-2111111-2-2111111-2-2111111-2-21111112-1-1-12-1-1-100000000000
χ2322222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-222-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2111-211100000000000
χ2422222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-211100000000000
χ2522222-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1-12-2111-2111-2111-21112-22i−2i2i−2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1-211100000000000
χ2622222-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1-12-2111-2111-2111-21112-2−2i2i−2i2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1-211100000000000
χ2722222-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1-12-2111-2111-2111-2111-222i−2i−2i2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i-21112-1-1-100000000000
χ2822222-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1-12-2111-2111-2111-2111-22−2i2i2i−2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii-21112-1-1-100000000000
χ292222-12-1-12222-1-122-1-1-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-100000000000
χ302222-12-1-12222-1-122-1-1-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-122-2-2-2-2-12-1-111-2-2111111-2-2111111-2-2111111-2-21111-12-1-1-12-1-100000000000
χ312222-12-1-12222-1-122-1-1-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-2-222-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211111-2111-21100000000000
χ322222-12-1-12222-1-122-1-1-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-222-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-21100000000000
χ332222-12-1-1-2-2-2-2-1-122-1-1-1-1-12-1-121-2111-2111-2111-2112-22i−2i2i−2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-21100000000000
χ342222-12-1-1-2-2-2-2-1-122-1-1-1-1-12-1-121-2111-2111-2111-2112-2−2i2i−2i2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−i-12-1-11-21100000000000
χ352222-12-1-1-2-2-2-2-1-122-1-1-1-1-12-1-121-2111-2111-2111-211-222i−2i−2i2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i1-211-12-1-100000000000
χ362222-12-1-1-2-2-2-2-1-122-1-1-1-1-12-1-121-2111-2111-2111-211-22−2i2i2i−2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii1-211-12-1-100000000000
χ372222-1-12-12222-1-1-1-122-1-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-100000000000
χ382222-1-12-12222-1-1-1-122-1-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-122-2-2-2-2-1-12-11111-2-2111111-2-2111111-2-2111111-2-211-1-12-1-1-12-100000000000
χ392222-1-12-12222-1-1-1-122-1-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-2-222-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-2100000000000
χ402222-1-12-12222-1-1-1-122-1-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-222-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-2100000000000
χ412222-1-12-1-2-2-2-2-1-1-1-122-1-1-1-12-1211-2111-2111-2111-212-22i−2i2i−2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii-1-12-111-2100000000000
χ422222-1-12-1-2-2-2-2-1-1-1-122-1-1-1-12-1211-2111-2111-2111-212-2−2i2i−2i2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−i-1-12-111-2100000000000
χ432222-1-12-1-2-2-2-2-1-1-1-122-1-1-1-12-1211-2111-2111-2111-21-222i−2i−2i2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i11-21-1-12-100000000000
χ442222-1-12-1-2-2-2-2-1-1-1-122-1-1-1-12-1211-2111-2111-2111-21-22−2i2i2i−2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iii11-21-1-12-100000000000
χ452222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1200000000000
χ462222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1222-2-2-2-2-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2-1-1-12-1-1-1200000000000
χ472222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-2-222-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111-2111-200000000000
χ482222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-222-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-200000000000
χ492222-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-122111-2111-2111-2111-22-22i−2i2i−2i-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i-1-1-12111-200000000000
χ502222-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-122111-2111-2111-2111-22-2−2i2i−2i2i-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2i-1-1-12111-200000000000
χ512222-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-122111-2111-2111-2111-2-222i−2i−2i2i-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i111-2-1-1-1200000000000
χ522222-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-122111-2111-2111-2111-2-22−2i2i2i−2i-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2i111-2-1-1-1200000000000
χ5344444-2-2-24-44-444-2-2-2-2-2-24-2-2-2-44-2-2-2-42224-2-2-2-4222000000-4222000000000000000000000000000000000000000000000000000
χ5444444-2-2-2-44-4444-2-2-2-2-2-24-2-2-2-4-42224-2-2-2-42224-2-2-2000000-4222000000000000000000000000000000000000000000000000000
χ554444-24-2-24-44-4-2-244-2-2-2-2-24-2-2-4-24-2-22-422-24-2-22-4220000002-422000000000000000000000000000000000000000000000000000
χ564444-24-2-2-44-44-2-244-2-2-2-2-24-2-2-42-422-24-2-22-422-24-2-20000002-422000000000000000000000000000000000000000000000000000
χ574444-2-24-24-44-4-2-2-2-244-2-2-2-24-2-4-2-24-222-42-2-24-222-4200000022-42000000000000000000000000000000000000000000000000000
χ584444-2-24-2-44-44-2-2-2-244-2-2-2-24-2-422-42-2-24-222-42-2-24-200000022-42000000000000000000000000000000000000000000000000000
χ594444-2-2-244-44-4-2-2-2-2-2-244-2-2-24-4-2-2-24222-4-2-2-24222-4000000222-4000000000000000000000000000000000000000000000000000
χ604444-2-2-24-44-44-2-2-2-2-2-244-2-2-24-4222-4-2-2-24222-4-2-2-24000000222-4000000000000000000000000000000000000000000000000000
χ6144-4-4444400004-44-44-44-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000004-4000000000
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χ644-44-44444-4040-44-44-44-44-4-4-4-4044440000-4-4-4-400000000000000000000000000000000000000000000000000000000000000000
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χ724-44-4-24-2-2-40402-2-442-22-22-4220-24-2-200002-422000000000000000000000000000000−i6i600−i6i6i6−i6i6−i600i6−i6−i6i60000000000000000000
χ734-44-4-2-24-240-402-22-2-442-222-42022-420000-2-24-20000000000000000000000000000006−6−66006−66−6−66006−60000000000000000000
χ744-44-4-2-24-240-402-22-2-442-222-42022-420000-2-24-2000000000000000000000000000000−666−600−66−666−600−660000000000000000000
χ754-44-4-2-24-2-40402-22-2-442-222-420-2-24-2000022-42000000000000000000000000000000i6−i6−i6i600i6−i6−i6i6i6−i600−i6i60000000000000000000
χ764-44-4-2-24-2-40402-22-2-442-222-420-2-24-2000022-42000000000000000000000000000000−i6i6i6−i600−i6i6i6−i6−i6i600i6−i60000000000000000000
χ774-44-4-2-2-2440-402-22-22-2-44222-40222-40000-2-2-240000000000000000000000000000006−66−6−66006−66−6−66000000000000000000000
χ784-44-4-2-2-2440-402-22-22-2-44222-40222-40000-2-2-24000000000000000000000000000000−66−666−600−66−666−6000000000000000000000
χ794-44-4-2-2-24-40402-22-22-2-44222-40-2-2-240000222-4000000000000000000000000000000i6−i6i6−i6−i6i600−i6i6−i6i6i6−i6000000000000000000000
χ804-44-4-2-2-24-40402-22-22-2-44222-40-2-2-240000222-4000000000000000000000000000000−i6i6−i6i6i6−i600i6−i6i6−i6−i6i6000000000000000000000
χ814-4-444444040-4-4-4-4-4-4-4-4-4444400000-4-4-4-4000044440000000000000000000000000000000000000000000000000000000000000
χ824-4-4444440-404-4-4-4-4-4-4-4-444440000044440000-4-4-4-40000000000000000000000000000000000000000000000000000000000000
χ834-4-444-2-2-2040-4-4-42222224-2-2-200000-422200004-2-2-2000000000000i6−i6i6−i6i6−i600i6−i6i6−i6i6−i600000000000000000000000000000000000
χ844-4-444-2-2-2040-4-4-42222224-2-2-200000-422200004-2-2-2000000000000−i6i6−i6i6−i6i600−i6i6−i6i6−i6i600000000000000000000000000000000000
χ854-4-444-2-2-20-404-4-42222224-2-2-2000004-2-2-20000-42220000000000006−66−66−600−66−66−6600000000000000000000000000000000000
χ864-4-444-2-2-20-404-4-42222224-2-2-2000004-2-2-20000-4222000000000000−66−66−66006−66−66−600000000000000000000000000000000000
χ874-4-44-24-2-2040-422-4-42222-24-2-2000002-4220000-24-2-20000000000i6−i600i6−i6−i6i6i6−i600i6−i6−i6i600000000000000000000000000000000000
χ884-4-44-24-2-2040-422-4-42222-24-2-2000002-4220000-24-2-20000000000−i6i600−i6i6i6−i6−i6i600−i6i6i6−i600000000000000000000000000000000000
χ894-4-44-24-2-20-40422-4-42222-24-2-200000-24-2-200002-42200000000006−6006−6−66−6600−666−600000000000000000000000000000000000
χ904-4-44-24-2-20-40422-4-42222-24-2-200000-24-2-200002-4220000000000−6600−666−66−6006−6−6600000000000000000000000000000000000
χ914-4-44-2-24-2040-42222-4-422-2-24-20000022-420000-2-24-20000000000i6−i6−i6i600i6−i6i6−i6−i6i600i6−i600000000000000000000000000000000000
χ924-4-44-2-24-2040-42222-4-422-2-24-20000022-420000-2-24-20000000000−i6i6i6−i600−i6i6−i6i6i6−i600−i6i600000000000000000000000000000000000
χ934-4-44-2-24-20-4042222-4-422-2-24-200000-2-24-2000022-4200000000006−6−66006−6−666−600−6600000000000000000000000000000000000
χ944-4-44-2-24-20-4042222-4-422-2-24-200000-2-24-2000022-420000000000−666−600−666−6−66006−600000000000000000000000000000000000
χ954-4-44-2-2-24040-4222222-4-4-2-2-2400000222-40000-2-2-240000000000i6−i6i6−i6−i6i600i6−i6i6−i6−i6i60000000000000000000000000000000000000
χ964-4-44-2-2-24040-4222222-4-4-2-2-2400000222-40000-2-2-240000000000−i6i6−i6i6i6−i600−i6i6−i6i6i6−i60000000000000000000000000000000000000
χ974-4-44-2-2-240-404222222-4-4-2-2-2400000-2-2-240000222-400000000006−66−6−6600−66−666−60000000000000000000000000000000000000
χ984-4-44-2-2-240-404222222-4-4-2-2-2400000-2-2-240000222-40000000000−66−666−6006−66−6−660000000000000000000000000000000000000
χ9988-8-88-4-4-400008-8-44-44-44-8444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-4-40000-448-8-44-444-844000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-48-40000-44-448-8-4444-84000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-480000-44-44-448-8444-8000000000000000000000000000000000000000000000000000000000000000000000000000000

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