Finite Group Databasebeta

← Group #13140209

Character table — Group #13140209

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222222222222222266666666666666669999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order12222222344446666666121212121212121233666666666666664444444436666666121212121212121212121212121212122222444444444444444466666666121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-11111-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111-1-1-1-11111-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ11111-1-1-1-11111-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ12111-1-1-1-11111-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ13111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ14111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ15111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i
χ16111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii
χ1711-111-1-1-11i−ii−i1-111-1-1-1ii−i−iii−i−i1111-1-111-1-1-1-111-1-1ii−i−iii−i−i11-111-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i1-11-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−ii−ii−i1-11-1
χ1811-111-1-1-11i−ii−i1-111-1-1-1ii−i−iii−i−i1111-1-111-1-1-1-111-1-1ii−i−iii−i−i11-111-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1-11-11−ii−ii−ii−ii-11-1111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii−ii−ii-11-11
χ1911-111-1-1-11i−ii−i1-111-1-1-1ii−i−iii−i−i1111-1-111-1-1-1-111-1-1−i−iii−i−iii11-111-1-1-1ii−i−iii−i−iii−i−iii−i−i-11-111-11-1i−ii−i−ii−ii-11-11-1-111-1-111−i−iii−i−iii1-11-1i−ii−i−ii−ii-11-11
χ2011-111-1-1-11i−ii−i1-111-1-1-1ii−i−iii−i−i1111-1-111-1-1-1-111-1-1−i−iii−i−iii11-111-1-1-1ii−i−iii−i−iii−i−iii−i−i-11-11-11-11−ii−iii−ii−i1-11-1-1-111-1-111−i−iii−i−iii-11-11−ii−iii−ii−i1-11-1
χ2111-111-1-1-11−ii−ii1-111-1-1-1−i−iii−i−iii1111-1-111-1-1-1-111-1-1ii−i−iii−i−i11-111-1-1-1−i−iii−i−iii−i−iii−i−iii-11-111-11-1−ii−iii−ii−i-11-11-1-111-1-111ii−i−iii−i−i1-11-1−ii−iii−ii−i-11-11
χ2211-111-1-1-11−ii−ii1-111-1-1-1−i−iii−i−iii1111-1-111-1-1-1-111-1-1ii−i−iii−i−i11-111-1-1-1−i−iii−i−iii−i−iii−i−iii-11-11-11-11i−ii−i−ii−ii1-11-1-1-111-1-111ii−i−iii−i−i-11-11i−ii−i−ii−ii1-11-1
χ2311-111-1-1-11−ii−ii1-111-1-1-1−i−iii−i−iii1111-1-111-1-1-1-111-1-1−i−iii−i−iii11-111-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii1-11-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii−ii−ii1-11-1
χ2411-111-1-1-11−ii−ii1-111-1-1-1−i−iii−i−iii1111-1-111-1-1-1-111-1-1−i−iii−i−iii11-111-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-1-11-11i−ii−ii−ii−i-11-1111-1-111-1-1−i−iii−i−iii-11-11i−ii−ii−ii−i-11-11
χ2511-1-1-111-11i−i−ii1-1-1-111-1ii−i−i−i−iii1111-1-1-1-111-1-1-1-111ii−i−i−i−iii11-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii1-1-11i−i−ii-111-1-111-1i−i−ii11-1-1-1-111ii−i−i−i−iiii−i−ii-111-1-111-1i−i−ii
χ2611-1-1-111-11i−i−ii1-1-1-111-1ii−i−i−i−iii1111-1-1-1-111-1-1-1-111ii−i−i−i−iii11-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii1-1-11−iii−i1-1-111-1-11−iii−i11-1-1-1-111ii−i−i−i−iii−iii−i1-1-111-1-11−iii−i
χ2711-1-1-111-11i−i−ii1-1-1-111-1ii−i−i−i−iii1111-1-1-1-111-1-1-1-111−i−iiiii−i−i11-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii-111-1i−i−ii-111-11-1-11−iii−i-1-11111-1-1−i−iiiii−i−ii−i−ii-111-11-1-11−iii−i
χ2811-1-1-111-11i−i−ii1-1-1-111-1ii−i−i−i−iii1111-1-1-1-111-1-1-1-111−i−iiiii−i−i11-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii-111-1−iii−i1-1-11-111-1i−i−ii-1-11111-1-1−i−iiiii−i−i−iii−i1-1-11-111-1i−i−ii
χ2911-1-1-111-11−iii−i1-1-1-111-1−i−iiiii−i−i1111-1-1-1-111-1-1-1-111ii−i−i−i−iii11-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i-111-1i−i−ii1-1-11-111-1−iii−i-1-11111-1-1ii−i−i−i−iiii−i−ii1-1-11-111-1−iii−i
χ3011-1-1-111-11−iii−i1-1-1-111-1−i−iiiii−i−i1111-1-1-1-111-1-1-1-111ii−i−i−i−iii11-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i-111-1−iii−i-111-11-1-11i−i−ii-1-11111-1-1ii−i−i−i−iii−iii−i-111-11-1-11i−i−ii
χ3111-1-1-111-11−iii−i1-1-1-111-1−i−iiiii−i−i1111-1-1-1-111-1-1-1-111−i−iiiii−i−i11-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i1-1-11i−i−ii1-1-111-1-11i−i−ii11-1-1-1-111−i−iiiii−i−ii−i−ii1-1-111-1-11i−i−ii
χ3211-1-1-111-11−iii−i1-1-1-111-1−i−iiiii−i−i1111-1-1-1-111-1-1-1-111−i−iiiii−i−i11-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i1-1-11−iii−i-111-1-111-1−iii−i11-1-1-1-111−i−iiiii−i−i−iii−i-111-1-111-1−iii−i
χ3322222222222222222222222222222-12-12-12-12-12-12-12-100000000-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-100000000000022222222000000000000000000000000-1-1-1-1-1-1-1-1
χ3422222222222222222222222222222-12-12-12-12-12-12-12-100000000-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-200000000000000000000000011111111
χ352222222222222222222222222222-12-12-12-12-12-12-12-1200000000-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000022222222000000000000000000000000-1-1-1-1-1-1-1-100000000
χ362222222222222222222222222222-12-12-12-12-12-12-12-1200000000-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-20000000000000000000000001111111100000000
χ37222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12-12-12-12-12-12-12-100000000-1-1-1-1-1-1-1-1-21-21-21-21111111110000000000002222-2-2-2-2000000000000000000000000-1-1-1-11111
χ38222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12-12-12-12-12-12-12-100000000-1-1-1-1-1-1-1-1-21-21-21-2111111111000000000000-2-2-2-222220000000000000000000000001111-1-1-1-1
χ39222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-12-12-12-12-12-12-1200000000-1-1-1-1-1-1-1-11-21-21-21-21111111100002222-2-2-2-2000000000000000000000000-1-1-1-1111100000000
χ40222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-12-12-12-12-12-12-1200000000-1-1-1-1-1-1-1-11-21-21-21-2111111110000-2-2-2-222220000000000000000000000001111-1-1-1-100000000
χ41222-2-2-2-22222-2-222-2-2-2-222222-2-2-2-22-12-12-1-21-212-1-21-2100000000-1-1-11111-12-12-1-21-21-1-1-1-111110000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−i−iii−i−iii
χ42222-2-2-2-22222-2-222-2-2-2-222222-2-2-2-22-12-12-1-21-212-1-21-2100000000-1-1-11111-12-12-1-21-21-1-1-1-11111000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000ii−i−iii−i−i
χ43222-2-2-2-22222-2-222-2-2-2-222222-2-2-2-2-12-12-121-21-2-121-21-200000000-1-1-11111-1-12-121-21-2-1-1-1-1111100002i2i−2i−2i2i2i−2i−2i000000000000000000000000−i−iii−i−iii00000000
χ44222-2-2-2-22222-2-222-2-2-2-222222-2-2-2-2-12-12-121-21-2-121-21-200000000-1-1-11111-1-12-121-21-2-1-1-1-111110000−2i−2i2i2i−2i−2i2i2i000000000000000000000000ii−i−iii−i−i00000000
χ45222-2-2-2-222-2-22222-2-2-2-22-2-2-2-222222-12-12-1-21-212-1-21-2100000000-1-1-11111-1-21-212-12-11111-1-1-1-10000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000−i−iiiii−i−i
χ46222-2-2-2-222-2-22222-2-2-2-22-2-2-2-222222-12-12-1-21-212-1-21-2100000000-1-1-11111-1-21-212-12-11111-1-1-1-1000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000ii−i−i−i−iii
χ47222-2-2-2-222-2-22222-2-2-2-22-2-2-2-22222-12-12-121-21-2-121-21-200000000-1-1-11111-11-21-2-12-121111-1-1-1-100002i2i−2i−2i−2i−2i2i2i000000000000000000000000−i−iiiii−i−i00000000
χ48222-2-2-2-222-2-22222-2-2-2-22-2-2-2-22222-12-12-121-21-2-121-21-200000000-1-1-11111-11-21-2-12-121111-1-1-1-10000−2i−2i2i2i2i2i−2i−2i000000000000000000000000ii−i−i−i−iii00000000
χ4922-222-2-2-222i−2i2i−2i2-222-2-2-22i2i−2i−2i2i2i−2i−2i2-12-1-212-1-21-212-1-2100000000-1-11-1-11112i−i−2ii2i−i−2ii−i−iii−i−iii0000000000002i−2i2i−2i2-22-2000000000000000000000000−ii−ii-11-11
χ5022-222-2-2-222i−2i2i−2i2-222-2-2-22i2i−2i−2i2i2i−2i−2i2-12-1-212-1-21-212-1-2100000000-1-11-1-11112i−i−2ii2i−i−2ii−i−iii−i−iii000000000000−2i2i−2i2i-22-22000000000000000000000000i−ii−i1-11-1
χ5122-222-2-2-222i−2i2i−2i2-222-2-2-22i2i−2i−2i2i2i−2i−2i-12-121-2-121-21-2-121-200000000-1-11-1-1111−i2ii−2i−i2ii−2i−i−iii−i−iii00002-22-22i−2i2i−2i000000000000000000000000-11-11−ii−ii00000000
χ5222-222-2-2-222i−2i2i−2i2-222-2-2-22i2i−2i−2i2i2i−2i−2i-12-121-2-121-21-2-121-200000000-1-11-1-1111−i2ii−2i−i2ii−2i−i−iii−i−iii0000-22-22−2i2i−2i2i0000000000000000000000001-11-1i−ii−i00000000
χ5322-222-2-2-22−2i2i−2i2i2-222-2-2-2−2i−2i2i2i−2i−2i2i2i2-12-1-212-1-21-212-1-2100000000-1-11-1-1111−2ii2i−i−2ii2i−iii−i−iii−i−i0000000000002i−2i2i−2i-22-22000000000000000000000000−ii−ii1-11-1
χ5422-222-2-2-22−2i2i−2i2i2-222-2-2-2−2i−2i2i2i−2i−2i2i2i2-12-1-212-1-21-212-1-2100000000-1-11-1-1111−2ii2i−i−2ii2i−iii−i−iii−i−i000000000000−2i2i−2i2i2-22-2000000000000000000000000i−ii−i-11-11
χ5522-222-2-2-22−2i2i−2i2i2-222-2-2-2−2i−2i2i2i−2i−2i2i2i-12-121-2-121-21-2-121-200000000-1-11-1-1111i−2i−i2ii−2i−i2iii−i−iii−i−i00002-22-2−2i2i−2i2i000000000000000000000000-11-11i−ii−i00000000
χ5622-222-2-2-22−2i2i−2i2i2-222-2-2-2−2i−2i2i2i−2i−2i2i2i-12-121-2-121-21-2-121-200000000-1-11-1-1111i−2i−i2ii−2i−i2iii−i−iii−i−i0000-22-222i−2i2i−2i0000000000000000000000001-11-1−ii−ii00000000
χ5722-2-2-222-222i−2i−2i2i2-2-2-222-22i2i−2i−2i−2i−2i2i2i2-12-1-21-212-1-21-212-100000000-1-1111-1-112i−i−2ii−2ii2i−i−i−iiiii−i−i0000000000002-2-22−2i2i2i−2i000000000000000000000000-111-1i−i−ii
χ5822-2-2-222-222i−2i−2i2i2-2-2-222-22i2i−2i−2i−2i−2i2i2i2-12-1-21-212-1-21-212-100000000-1-1111-1-112i−i−2ii−2ii2i−i−i−iiiii−i−i000000000000-222-22i−2i−2i2i0000000000000000000000001-1-11−iii−i
χ5922-2-2-222-222i−2i−2i2i2-2-2-222-22i2i−2i−2i−2i−2i2i2i-12-121-21-2-121-21-2-1200000000-1-1111-1-11−i2ii−2ii−2i−i2i−i−iiiii−i−i00002i−2i−2i2i-222-2000000000000000000000000−iii−i1-1-1100000000
χ6022-2-2-222-222i−2i−2i2i2-2-2-222-22i2i−2i−2i−2i−2i2i2i-12-121-21-2-121-21-2-1200000000-1-1111-1-11−i2ii−2ii−2i−i2i−i−iiiii−i−i0000−2i2i2i−2i2-2-22000000000000000000000000i−i−ii-111-100000000
χ6122-2-2-222-22−2i2i2i−2i2-2-2-222-2−2i−2i2i2i2i2i−2i−2i2-12-1-21-212-1-21-212-100000000-1-1111-1-11−2ii2i−i2i−i−2iiii−i−i−i−iii0000000000002-2-222i−2i−2i2i000000000000000000000000-111-1−iii−i
χ6222-2-2-222-22−2i2i2i−2i2-2-2-222-2−2i−2i2i2i2i2i−2i−2i2-12-1-21-212-1-21-212-100000000-1-1111-1-11−2ii2i−i2i−i−2iiii−i−i−i−iii000000000000-222-2−2i2i2i−2i0000000000000000000000001-1-11i−i−ii
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χ1186-66-66-66-6-300003-33-33-3333−3333−33−3333−33330000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i3i−ii−i−ii−ii0000000000000000
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Here i is the imaginary unit (i² = −1).