Finite Group Databasebeta

← Group #13147894

Character table — Group #13147894

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222222222222222266666666666666669999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order122244443444466612121212121212121212121233666666121212121212121222224444366612121212121212121212121212121212121212122222444444444444444466661212121212121212121212126666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ5111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1
χ101111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111
χ111111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ121111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ131111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ141111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ151111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1
χ161111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ1711-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1-11-1i−ii−i1-1i−ii−i1-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-11-11-1i−ii−i1-1i−ii−i
χ1811-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i-11-11i−ii−i-11−ii−ii-11−ii−ii11-1-111-1-1ii−i−iii−i−i-11-11-11−ii−ii-11−ii−ii
χ1911-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1-1-11−ii−ii1-1i−ii−i-11−ii−ii-1-111-1-111−i−iii−i−iii1-1-111-1i−ii−i-11−ii−ii
χ2011-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i-111-1−ii−ii-11−ii−ii1-1i−ii−i-1-111-1-111−i−iii−i−iii-111-1-11−ii−ii1-1i−ii−i
χ2111-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii1-11-1−ii−ii1-1−ii−ii1-1−ii−ii11-1-111-1-1−i−iii−i−iii1-11-11-1−ii−ii1-1−ii−ii
χ2211-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii-11-11−ii−ii-11i−ii−i-11i−ii−i11-1-111-1-1−i−iii−i−iii-11-11-11i−ii−i-11i−ii−i
χ2311-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii1-1-11i−ii−i1-1−ii−ii-11i−ii−i-1-111-1-111ii−i−iii−i−i1-1-111-1−ii−ii-11i−ii−i
χ2411-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii-111-1i−ii−i-11i−ii−i1-1−ii−ii-1-111-1-111ii−i−iii−i−i-111-1-11i−ii−i1-1−ii−ii
χ2511-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii1-11-1i−i−ii-11i−i−ii-11i−i−ii11-1-1-1-111ii−i−i−i−iii1-11-1-11i−i−ii-11i−i−ii
χ2611-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii-11-11i−i−ii1-1−iii−i1-1−iii−i11-1-1-1-111ii−i−i−i−iii-11-111-1−iii−i1-1−iii−i
χ2711-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii1-1-11−iii−i-11i−i−ii1-1−iii−i-1-11111-1-1−i−iiiii−i−i1-1-11-11i−i−ii1-1−iii−i
χ2811-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii-111-1−iii−i1-1−iii−i-11i−i−ii-1-11111-1-1−i−iiiii−i−i-111-11-1−iii−i-11i−i−ii
χ2911-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i1-11-1−iii−i-11−iii−i-11−iii−i11-1-1-1-111−i−iiiii−i−i1-11-1-11−iii−i-11−iii−i
χ3011-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i-11-11−iii−i1-1i−i−ii1-1i−i−ii11-1-1-1-111−i−iiiii−i−i-11-111-1i−i−ii1-1i−i−ii
χ3111-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i1-1-11i−i−ii-11−iii−i1-1i−i−ii-1-11111-1-1ii−i−i−i−iii1-1-11-11−iii−i1-1i−i−ii
χ3211-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i-111-1i−i−ii1-1i−i−ii-11−iii−i-1-11111-1-1ii−i−i−i−iii-111-11-1i−i−ii-11−iii−i
χ3322222222222222222222222222222-12-122-1-122-1-122-1-100000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100220000000000222222000000000000000000-1-1000000-1-1-1-1-1-1
χ3422222222222222222222222222222-12-122-1-122-1-122-1-100000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000000000-2-2-2-2-2-200000000000000000011000000111111
χ352222222222222222222222222222-12-12-1-122-1-122-1-12200000000-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1220000002222220000000000000000000000-1-100-1-1-1-1-1-1000000
χ362222222222222222222222222222-12-12-1-122-1-122-1-12200000000-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2-2-2-2-200000000000000000000001100111111000000
χ37222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12-122-1-122-1-122-1-100000000-1-1-1-1-21-21-21-21-1-1-1-1111111110022000000000022-2-2-2-2000000000000000000-1-1000000-1-11111
χ38222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12-122-1-122-1-122-1-100000000-1-1-1-1-21-21-21-21-1-1-1-11111111100-2-20000000000-2-222220000000000000000001100000011-1-1-1-1
χ39222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-12-1-122-1-122-1-12200000000-1-1-1-11-21-21-21-2-1-1-1-1111111112200000022-2-2-2-20000000000000000000000-1-100-1-11111000000
χ40222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-12-1-122-1-122-1-12200000000-1-1-1-11-21-21-21-2-1-1-1-111111111-2-2000000-2-222220000000000000000000000110011-1-1-1-1000000
χ412222-2-2-2-2222-2-2222-2-2-2-22222-2-2-2-22-12-122-1-1-2-211-2-21100000000-1-1-1-12-12-1-21-211111-1-1-1-1111100220000000000-2-222-2-2000000000000000000-1-100000011-1-111
χ422222-2-2-2-2222-2-2222-2-2-2-22222-2-2-2-22-12-122-1-1-2-211-2-21100000000-1-1-1-12-12-1-21-211111-1-1-1-1111100-2-2000000000022-2-22200000000000000000011000000-1-111-1-1
χ432222-2-2-2-2222-2-2222-2-2-2-22222-2-2-2-2-12-12-1-12211-2-211-2-200000000-1-1-1-1-12-121-21-21111-1-1-1-1111122000000-2-222-2-20000000000000000000000-1-10011-1-111000000
χ442222-2-2-2-2222-2-2222-2-2-2-22222-2-2-2-2-12-12-1-12211-2-211-2-200000000-1-1-1-1-12-121-21-21111-1-1-1-11111-2-200000022-2-22200000000000000000000001100-1-111-1-1000000
χ452222-2-2-2-22-2-222222-2-2-2-2-2-2-2-222222-12-122-1-1-2-211-2-21100000000-1-1-1-1-21-212-12-111111111-1-1-1-100220000000000-2-2-2-222000000000000000000-1-10000001111-1-1
χ462222-2-2-2-22-2-222222-2-2-2-2-2-2-2-222222-12-122-1-1-2-211-2-21100000000-1-1-1-1-21-212-12-111111111-1-1-1-100-2-200000000002222-2-200000000000000000011000000-1-1-1-111
χ472222-2-2-2-22-2-222222-2-2-2-2-2-2-2-22222-12-12-1-12211-2-211-2-200000000-1-1-1-11-21-2-12-1211111111-1-1-1-122000000-2-2-2-2220000000000000000000000-1-1001111-1-1000000
χ482222-2-2-2-22-2-222222-2-2-2-2-2-2-2-22222-12-12-1-12211-2-211-2-200000000-1-1-1-11-21-2-12-1211111111-1-1-1-1-2-20000002222-2-200000000000000000000001100-1-1-1-111000000
χ4922-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i2-12-1-2-21122-1-1-2-21100000000-1-1112i−i−2ii2i−i−2ii-1-111−i−iii−i−iii002-200000000002-22i−2i2i−2i000000000000000000-11000000-11−ii−ii
χ5022-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i2-12-1-2-21122-1-1-2-21100000000-1-1112i−i−2ii2i−i−2ii-1-111−i−iii−i−iii00-220000000000-22−2i2i−2i2i0000000000000000001-10000001-1i−ii−i
χ5122-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i-12-1211-2-2-1-12211-2-200000000-1-111−i2ii−2i−i2ii−2i-1-111−i−iii−i−iii2-20000002-22i−2i2i−2i0000000000000000000000-1100-11−ii−ii000000
χ5222-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i-12-1211-2-2-1-12211-2-200000000-1-111−i2ii−2i−i2ii−2i-1-111−i−iii−i−iii-22000000-22−2i2i−2i2i00000000000000000000001-1001-1i−ii−i000000
χ5322-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-12-1-2-21122-1-1-2-21100000000-1-111−2ii2i−i−2ii2i−i-1-111ii−i−iii−i−i002-200000000002-2−2i2i−2i2i000000000000000000-11000000-11i−ii−i
χ5422-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-12-1-2-21122-1-1-2-21100000000-1-111−2ii2i−i−2ii2i−i-1-111ii−i−iii−i−i00-220000000000-222i−2i2i−2i0000000000000000001-10000001-1−ii−ii
χ5522-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i-12-1211-2-2-1-12211-2-200000000-1-111i−2i−i2ii−2i−i2i-1-111ii−i−iii−i−i2-20000002-2−2i2i−2i2i0000000000000000000000-1100-11i−ii−i000000
χ5622-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i-12-1211-2-2-1-12211-2-200000000-1-111i−2i−i2ii−2i−i2i-1-111ii−i−iii−i−i-22000000-222i−2i2i−2i00000000000000000000001-1001-1−ii−ii000000
χ5722-2-2-2-22222i−2i−2i2i2-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-12-1-2-211-2-21122-1-100000000-1-1112i−i−2ii−2ii2i−i11-1-1−i−iiiii−i−i002-20000000000-222i−2i−2i2i000000000000000000-110000001-1−iii−i
χ5822-2-2-2-22222i−2i−2i2i2-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-12-1-2-211-2-21122-1-100000000-1-1112i−i−2ii−2ii2i−i11-1-1−i−iiiii−i−i00-2200000000002-2−2i2i2i−2i0000000000000000001-1000000-11i−i−ii
χ5922-2-2-2-22222i−2i−2i2i2-2-2-2-2222i2i−2i−2i−2i−2i2i2i-12-1211-2-211-2-2-1-12200000000-1-111−i2ii−2ii−2i−i2i11-1-1−i−iiiii−i−i2-2000000-222i−2i−2i2i0000000000000000000000-11001-1−iii−i000000
χ6022-2-2-2-22222i−2i−2i2i2-2-2-2-2222i2i−2i−2i−2i−2i2i2i-12-1211-2-211-2-2-1-12200000000-1-111−i2ii−2ii−2i−i2i11-1-1−i−iiiii−i−i-220000002-2−2i2i2i−2i00000000000000000000001-100-11i−i−ii000000
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χ6222-2-2-2-2222−2i2i2i−2i2-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-12-1-2-211-2-21122-1-100000000-1-111−2ii2i−i2i−i−2ii11-1-1ii−i−i−i−iii00-2200000000002-22i−2i−2i2i0000000000000000001-1000000-11−iii−i
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Here i is the imaginary unit (i² = −1).