Finite Group Databasebeta

← Group #11889339

Character table — Group #11889339

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222222222222444444444444444444488888888888888888888888888888888888888888161616161616161636363636363636363636727272
order1222223333446666666666664446666666612121212121212124448812121212121212121212121212121212121212122424242424242424242424242424242412121212121212122444448888444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ5111111111111111111111111-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11
χ6111111111111111111111111-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1
χ7111111111111111111111111-1-111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1
χ8111111111111111111111111-1-111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ91111-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-111-1-11-11
χ101111-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-11-1
χ111111-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1111-1-1111-1-1
χ121111-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-111-1-1-111
χ131111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-1-1-111-111
χ141111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-11111-1-11-1-1
χ151111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-11-1
χ161111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111-11
χ172222222222-2-222222222222200-222222222-2-2-2-2-2-2-2-200000-2-2-2-2000000000000000000000000000000000000000022-2-2000000000
χ182222222222-2-222222222222200-222222222-2-2-2-2-2-2-2-200000-2-2-2-20000000000000000000000000000000000000000-2-222000000000
χ192222222-1-1-1222-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-10000000000000
χ202222222-1-1-1222-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12-2-2-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2111-21110000000000000
χ212222222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2222-1-1-1-1-1-122-1-1-1-1-1-1-222-2-22-1-1-1-2-2111111-2-2111111-2-2111111-2-21111112-1-1-12-1-1-10000000000000
χ222222222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2222-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-21110000000000000
χ23222222-12-1-122-12-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-122222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-10000000000000
χ24222222-12-1-122-12-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-12-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211111-2111-2110000000000000
χ25222222-12-1-122-12-1-1-1-122-1-1-1-1-2-22-1-122-1-1-1-1-1-122-1-1-1-1-222-2-2-12-1-111-2-2111111-2-2111111-2-2111111-2-21111-12-1-1-12-1-10000000000000
χ26222222-12-1-122-12-1-1-1-122-1-1-1-1-2-22-1-122-1-1-1-1-1-122-1-1-1-1-2-2-222-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-2110000000000000
χ27222222-1-12-122-1-12-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-122222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-10000000000000
χ28222222-1-12-122-1-12-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-12-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-210000000000000
χ29222222-1-12-122-1-12-1-1-1-1-122-1-1-2-22-1-1-1-122-1-1-1-1-1-122-1-1-222-2-2-1-12-11111-2-2111111-2-2111111-2-2111111-2-211-1-12-1-1-12-10000000000000
χ30222222-1-12-122-1-12-1-1-1-1-122-1-1-2-22-1-1-1-122-1-1-1-1-1-122-1-1-2-2-222-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-210000000000000
χ31222222-1-1-1222-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-120000000000000
χ32222222-1-1-1222-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111-2111-20000000000000
χ33222222-1-1-1222-1-1-12-1-1-1-1-1-122-2-22-1-1-1-1-1-122-1-1-1-1-1-122-222-2-2-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2-1-1-12-1-1-120000000000000
χ34222222-1-1-1222-1-1-12-1-1-1-1-1-122-2-22-1-1-1-1-1-122-1-1-1-1-1-122-2-2-222-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-20000000000000
χ352222-2-22222-2-2222222222222002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000222200000000000000000000000000000000000000002-22-2000000000
χ362222-2-22222-2-2222222222222002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000022220000000000000000000000000000000000000000-22-22000000000
χ372222-2-22-1-1-1222-1-1-122-1-1-1-1-1-122-2-2-211111122-1-1-1-1-1-1-22-22-2-211122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-21111112-1-1-1-21110000000000000
χ382222-2-22-1-1-1222-1-1-122-1-1-1-1-1-122-2-2-211111122-1-1-1-1-1-1-2-22-22-211122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1-21112-1-1-10000000000000
χ392222-2-22-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-2-211111122-1-1-1-1-1-122-2-22-2111-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-12-1-1-1-21110000000000000
χ402222-2-22-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-2-211111122-1-1-1-1-1-12-222-2-2111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-21112-1-1-10000000000000
χ412222-2-2-12-1-122-12-1-1-1-122-1-1-1-122-211-2-21111-1-122-1-1-1-1-22-22-21-211-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-21111-12-1-11-2110000000000000
χ422222-2-2-12-1-122-12-1-1-1-122-1-1-1-122-211-2-21111-1-122-1-1-1-1-2-22-221-211-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-11-211-12-1-10000000000000
χ432222-2-2-12-1-122-12-1-1-1-122-1-1-1-1-2-2-211-2-21111-1-122-1-1-1-122-2-221-21111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-1-12-1-11-2110000000000000
χ442222-2-2-12-1-122-12-1-1-1-122-1-1-1-1-2-2-211-2-21111-1-122-1-1-1-12-222-21-21111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-211111-211-12-1-10000000000000
χ452222-2-2-1-12-122-1-12-1-1-1-1-122-1-122-21111-2-211-1-1-1-122-1-1-22-22-211-21-1-1-1-122-1-11111-2-211-1-1-1-122-1-11111-2-211-1-12-111-210000000000000
χ462222-2-2-1-12-122-1-12-1-1-1-1-122-1-122-21111-2-211-1-1-1-122-1-1-2-22-2211-21-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-122-1-111-21-1-12-10000000000000
χ472222-2-2-1-12-122-1-12-1-1-1-1-122-1-1-2-2-21111-2-211-1-1-1-122-1-122-2-2211-211111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-1-1-12-111-210000000000000
χ482222-2-2-1-12-122-1-12-1-1-1-1-122-1-1-2-2-21111-2-211-1-1-1-122-1-12-222-211-211111-2-211-1-1-1-122-1-1-1-1-1-122-1-11111-2-21111-21-1-12-10000000000000
χ492222-2-2-1-1-1222-1-1-12-1-1-1-1-1-12222-2111111-2-2-1-1-1-1-1-122-22-22-2111-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-2-1-1-12111-20000000000000
χ502222-2-2-1-1-1222-1-1-12-1-1-1-1-1-12222-2111111-2-2-1-1-1-1-1-122-2-22-22111-2-1-1-1-1-1-122111111-2-2111111-2-2-1-1-1-1-1-122111-2-1-1-120000000000000
χ512222-2-2-1-1-1222-1-1-12-1-1-1-1-1-122-2-2-2111111-2-2-1-1-1-1-1-12222-2-22111-2111111-2-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122-1-1-12111-20000000000000
χ522222-2-2-1-1-1222-1-1-12-1-1-1-1-1-122-2-2-2111111-2-2-1-1-1-1-1-1222-222-2111-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111-2-1-1-120000000000000
χ532-2-220022222-2-2-2-2-22-22-22-22-22i−2i0000000002-22-22-22-20000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000002-2002i−2i000
χ542-2-220022222-2-2-2-2-22-22-22-22-22i−2i0000000002-22-22-22-20000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000-2200−2i2i000
χ552-2-220022222-2-2-2-2-22-22-22-22-2−2i2i0000000002-22-22-22-2000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000002-200−2i2i000
χ562-2-220022222-2-2-2-2-22-22-22-22-2−2i2i0000000002-22-22-22-2000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000-22002i−2i000
χ574444444-2-2-2-4-44-2-2-244-2-2-2-2-2-200-444-2-2-2-2-2-2-4-422222200000-422200000000000000000000000000000000000000000000000000000
χ58444444-24-2-2-4-4-24-2-2-2-244-2-2-2-200-4-2-244-2-2-2-222-4-42222000002-42200000000000000000000000000000000000000000000000000000
χ59444444-2-24-2-4-4-2-24-2-2-2-2-244-2-200-4-2-2-2-244-2-22222-4-4220000022-4200000000000000000000000000000000000000000000000000000
χ60444444-2-2-24-4-4-2-2-24-2-2-2-2-2-24400-4-2-2-2-2-2-244222222-4-400000222-400000000000000000000000000000000000000000000000000000
χ614444-4-44-2-2-2-4-44-2-2-244-2-2-2-2-2-2004-4-4222222-4-4222222000004-2-2-200000000000000000000000000000000000000000000000000000
χ624444-4-4-24-2-2-4-4-24-2-2-2-244-2-2-2-200422-4-4222222-4-4222200000-24-2-200000000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-2-4-4-2-24-2-2-2-2-244-2-20042222-4-4222222-4-42200000-2-24-200000000000000000000000000000000000000000000000000000
χ644444-4-4-2-2-24-4-4-2-2-24-2-2-2-2-2-244004222222-4-4222222-4-400000-2-2-2400000000000000000000000000000000000000000000000000000
χ6544-4-44-4444400-4-4-4-4-44-44-44-440004-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-44-44-2-2-200-4222-442-22-22-20004-4-22-22-22000000000000000000000000000000000006−66−66−6006−66−66−6000000000000000000000
χ6744-4-44-44-2-2-200-4222-442-22-22-20004-4-22-22-2200000000000000000000000000000000000−66−66−6600−66−66−66000000000000000000000
χ6844-4-44-4-24-2-2002-4222-2-442-22-2000-224-4-22-220000000000000000000000000000000006−6006−6−666−6006−6−66000000000000000000000
χ6944-4-44-4-24-2-2002-4222-2-442-22-2000-224-4-22-22000000000000000000000000000000000−6600−666−6−6600−666−6000000000000000000000
χ7044-4-44-4-2-24-20022-422-22-2-442-2000-22-224-4-220000000000000000000000000000000006−6−66006−66−6−66006−6000000000000000000000
χ7144-4-44-4-2-24-20022-422-22-2-442-2000-22-224-4-22000000000000000000000000000000000−666−600−66−666−600−66000000000000000000000
χ7244-4-44-4-2-2-2400222-42-22-22-2-44000-22-22-224-40000000000000000000000000000000006−66−6−66006−66−6−6600000000000000000000000
χ7344-4-44-4-2-2-2400222-42-22-22-2-44000-22-22-224-4000000000000000000000000000000000−66−666−600−66−666−600000000000000000000000
χ7444-4-4-44444400-4-4-4-4-44-44-44-44000-44-44-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-444-2-2-200-4222-442-22-22-2000-442-22-22-2000000000000000000000000000000000006−66−66−600−66−66−66000000000000000000000
χ7644-4-4-444-2-2-200-4222-442-22-22-2000-442-22-22-200000000000000000000000000000000000−66−66−66006−66−66−6000000000000000000000
χ7744-4-4-44-24-2-2002-4222-2-442-22-20002-2-442-22-20000000000000000000000000000000006−6006−6−66−6600−666−6000000000000000000000
χ7844-4-4-44-24-2-2002-4222-2-442-22-20002-2-442-22-2000000000000000000000000000000000−6600−666−66−6006−6−66000000000000000000000
χ7944-4-4-44-2-24-20022-422-22-2-442-20002-22-2-442-20000000000000000000000000000000006−6−66006−6−666−600−66000000000000000000000
χ8044-4-4-44-2-24-20022-422-22-2-442-20002-22-2-442-2000000000000000000000000000000000−666−600−666−6−66006−6000000000000000000000
χ8144-4-4-44-2-2-2400222-42-22-22-2-440002-22-22-2-440000000000000000000000000000000006−66−6−6600−66−666−600000000000000000000000
χ8244-4-4-44-2-2-2400222-42-22-22-2-440002-22-22-2-44000000000000000000000000000000000−66−666−6006−66−6−6600000000000000000000000
χ834-44-4004444004444-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000022−2200000
χ844-44-4004444004444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000−222200000
χ854-4-44004444-44-4-4-4-44-44-44-44-400000000000-44-44-44-4400000000000000000000000000000000000000000000000000000000000000
χ864-4-44004-2-2-24-4-42224-4-22-22-224i−4i0000000004-4-22-22-220000000004i−4i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000
χ874-4-44004-2-2-24-4-42224-4-22-22-22−4i4i0000000004-4-22-22-22000000000−4i4i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000
χ884-4-44004-2-2-2-44-42224-4-22-22-2200000000000-442-22-22-2000000000000000000023−2323−2323−230000000000000000000000000000000000000
χ894-4-44004-2-2-2-44-42224-4-22-22-2200000000000-442-22-22-20000000000000000000−2323−2323−23230000000000000000000000000000000000000
χ904-4-4400-24-2-24-42-422-224-4-22-224i−4i000000000-224-4-22-22000000000−2i2i4i−4i−2i2i−2i2i000000000000000000000000000000000000000000000
χ914-4-4400-24-2-24-42-422-224-4-22-22−4i4i000000000-224-4-22-220000000002i−2i−4i4i2i−2i2i−2i000000000000000000000000000000000000000000000
χ924-4-4400-24-2-2-442-422-224-4-22-22000000000002-2-442-22-20000000000000000023−230023−23−23230000000000000000000000000000000000000
χ934-4-4400-24-2-2-442-422-224-4-22-22000000000002-2-442-22-200000000000000000−232300−232323−230000000000000000000000000000000000000
χ944-4-4400-2-24-24-422-42-22-224-4-224i−4i000000000-22-224-4-22000000000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000000000000000000000
χ954-4-4400-2-24-24-422-42-22-224-4-22−4i4i000000000-22-224-4-220000000002i−2i2i−2i−4i4i2i−2i000000000000000000000000000000000000000000000
χ964-4-4400-2-24-2-4422-42-22-224-4-22000000000002-22-2-442-20000000000000000023−23−23230023−230000000000000000000000000000000000000
χ974-4-4400-2-24-2-4422-42-22-224-4-22000000000002-22-2-442-200000000000000000−232323−2300−23230000000000000000000000000000000000000
χ984-4-4400-2-2-244-4222-4-22-22-224-44i−4i000000000-22-22-224-4000000000−2i2i−2i2i−2i2i4i−4i000000000000000000000000000000000000000000000
χ994-4-4400-2-2-244-4222-4-22-22-224-4−4i4i000000000-22-22-224-40000000002i−2i2i−2i2i−2i−4i4i000000000000000000000000000000000000000000000
χ1004-4-4400-2-2-24-44222-4-22-22-224-4000000000002-22-22-2-440000000000000000023−2323−23−2323000000000000000000000000000000000000000
χ1014-4-4400-2-2-24-44222-4-22-22-224-4000000000002-22-22-2-4400000000000000000−2323−232323−23000000000000000000000000000000000000000
χ1028-88-8008-4-4-4008-4-4-4-8-8444444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-800-48-4-400-48-4-444-8-84444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-800-4-48-400-4-48-44444-8-844000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-4-4-4800-4-4-48444444-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000

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