Finite Group Databasebeta

← Group #13140233

Character table — Group #13140233

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222222222222222266666666666666669999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order122222223444466666661212121212121212336666666666666644444444366666661212121212121212121212121212121222224444444444444444121212121212121212121212121212126666121212121212121212121212
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
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ5111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-111ii−i−i11-1-1-11-1iiii−i−i−i−i1111-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i
χ10111-1-1-1-111ii−i−i11-1-1-11-1iiii−i−i−i−i1111-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−i−i−iii−i−iii-1-1111111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii
χ11111-1-1-1-111ii−i−i11-1-1-11-1iiii−i−i−i−i1111-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iiiii−i−i−i−iii-1-111-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii
χ12111-1-1-1-111ii−i−i11-1-1-11-1iiii−i−i−i−i1111-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iiiii−i−i11-1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i
χ13111-1-1-1-111−i−iii11-1-1-11-1−i−i−i−iiiii1111-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii
χ14111-1-1-1-111−i−iii11-1-1-11-1−i−i−i−iiiii1111-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iiiii−i−iii−i−i-1-1111111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i
χ15111-1-1-1-111−i−iii11-1-1-11-1−i−i−i−iiiii1111-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i−i−iiiii−i−i-1-111-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i
χ16111-1-1-1-111−i−iii11-1-1-11-1−i−i−i−iiiii1111-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii
χ1711-111-1-1-111-11-11-11-11-1-111-1-111-1-1111-11-11-1-1-1-111-1-11ii−i−iii−i−i11-1-11-1-1111-1-111-1-111-1-111-1-11-11-1i−ii−i1-11-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i
χ1811-111-1-1-111-11-11-11-11-1-111-1-111-1-1111-11-11-1-1-1-111-1-11ii−i−iii−i−i11-1-11-1-1111-1-111-1-111-1-111-1-1-11-11i−ii−i-11-11−ii−ii−ii−iiii−i−iii−i−iii−i−iii−i−i-11-11-11-11−ii−ii−ii−ii
χ1911-111-1-1-111-11-11-11-11-1-111-1-111-1-1111-11-11-1-1-1-111-1-11−i−iii−i−iii11-1-11-1-1111-1-111-1-111-1-111-1-11-11-1−ii−ii1-11-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii
χ2011-111-1-1-111-11-11-11-11-1-111-1-111-1-1111-11-11-1-1-1-111-1-11−i−iii−i−iii11-1-11-1-1111-1-111-1-111-1-111-1-1-11-11−ii−ii-11-11i−ii−ii−ii−i−i−iii−i−iii−i−iii−i−iii-11-11-11-11i−ii−ii−ii−i
χ2111-111-1-1-11-11-111-11-11-1-1-1-111-1-111111-11-11-1-1-1-111-1-11ii−i−iii−i−i11-1-11-1-11-1-111-1-111-1-111-1-1111-11-1−ii−ii-11-11−ii−iii−ii−iii−i−iii−i−i−i−iii−i−iii1-11-1-11-11i−ii−i−ii−ii
χ2211-111-1-1-11-11-111-11-11-1-1-1-111-1-111111-11-11-1-1-1-111-1-11ii−i−iii−i−i11-1-11-1-11-1-111-1-111-1-111-1-111-11-11−ii−ii1-11-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-11-111-11-1−ii−iii−ii−i
χ2311-111-1-1-11-11-111-11-11-1-1-1-111-1-111111-11-11-1-1-1-111-1-11−i−iii−i−iii11-1-11-1-11-1-111-1-111-1-111-1-1111-11-1i−ii−i-11-11i−ii−i−ii−ii−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11−ii−iii−ii−i
χ2411-111-1-1-11-11-111-11-11-1-1-1-111-1-111111-11-11-1-1-1-111-1-11−i−iii−i−iii11-1-11-1-11-1-111-1-111-1-111-1-111-11-11i−ii−i1-11-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-11-111-11-1i−ii−i−ii−ii
χ2511-1-1-111-11i−i−ii1-1-11-1-11ii−i−i−i−iii111-1-111-1-111-1-1-11-1ii−i−i−i−iii11-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii1-1-11-111-1i−i−ii-111-1i−i−iiii−i−i−i−iii-1-11111-1-11-1-11i−i−iii−i−ii-111-1
χ2611-1-1-111-11i−i−ii1-1-11-1-11ii−i−i−i−iii111-1-111-1-111-1-1-11-1ii−i−i−i−iii11-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii-111-1-111-1−iii−i1-1-11−iii−iii−i−i−i−iii-1-11111-1-1-111-1−iii−i−iii−i1-1-11
χ2711-1-1-111-11i−i−ii1-1-11-1-11ii−i−i−i−iii111-1-111-1-111-1-1-11-1−i−iiiii−i−i11-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii1-1-111-1-11i−i−ii1-1-11−iii−i−i−iiiii−i−i11-1-1-1-1111-1-11i−i−ii−iii−i1-1-11
χ2811-1-1-111-11i−i−ii1-1-11-1-11ii−i−i−i−iii111-1-111-1-111-1-1-11-1−i−iiiii−i−i11-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii-111-11-1-11−iii−i-111-1i−i−ii−i−iiiii−i−i11-1-1-1-111-111-1−iii−ii−i−ii-111-1
χ2911-1-1-111-11−iii−i1-1-11-1-11−i−iiiii−i−i111-1-111-1-111-1-1-11-1ii−i−i−i−iii11-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i1-1-111-1-11−iii−i1-1-11i−i−iiii−i−i−i−iii11-1-1-1-1111-1-11−iii−ii−i−ii1-1-11
χ3011-1-1-111-11−iii−i1-1-11-1-11−i−iiiii−i−i111-1-111-1-111-1-1-11-1ii−i−i−i−iii11-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i-111-11-1-11i−i−ii-111-1−iii−iii−i−i−i−iii11-1-1-1-111-111-1i−i−ii−iii−i-111-1
χ3111-1-1-111-11−iii−i1-1-11-1-11−i−iiiii−i−i111-1-111-1-111-1-1-11-1−i−iiiii−i−i11-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i1-1-11-111-1−iii−i-111-1−iii−i−i−iiiii−i−i-1-11111-1-11-1-11−iii−i−iii−i-111-1
χ3211-1-1-111-11−iii−i1-1-11-1-11−i−iiiii−i−i111-1-111-1-111-1-1-11-1−i−iiiii−i−i11-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i-111-1-111-1i−i−ii1-1-11i−i−ii−i−iiiii−i−i-1-11111-1-1-111-1i−i−iii−i−ii1-1-11
χ3322222222222222222222222222222-12222-1-1-1-1-12-122-100000000-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1222200002222000000000000000000000000-1-1-1-1-1-1-1-100000000
χ3422222222222222222222222222222-12222-1-1-1-1-12-122-100000000-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-20000000000000000000000001111111100000000
χ352222222222222222222222222222-12-1-1-1-122222-12-1-1200000000-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-100000000000022222222000000000000000000000000-1-1-1-1-1-1-1-1
χ362222222222222222222222222222-12-1-1-1-122222-12-1-1200000000-1-1-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-200000000000000000000000011111111
χ37222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12222-1-1-1-1-12-122-100000000-1-1-1-1-1-1-1-1-21-21-21-211111111122220000-2-2-2-2000000000000000000000000-1-1-1-1111100000000
χ38222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12222-1-1-1-1-12-122-100000000-1-1-1-1-1-1-1-1-21-21-21-2111111111-2-2-2-2000022220000000000000000000000001111-1-1-1-100000000
χ39222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-1-1-122222-12-1-1200000000-1-1-1-1-1-1-1-11-21-21-21-2111111110000000000002222-2-2-2-20000000000000000000000001111-1-1-1-1
χ40222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-1-1-122222-12-1-1200000000-1-1-1-1-1-1-1-11-21-21-21-211111111000000000000-2-2-2-22222000000000000000000000000-1-1-1-11111
χ41222-2-2-2-2222i2i−2i−2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i2-122-2-2-1-1-111-212-2100000000-1-1-1-111112i−i2i−i−2ii−2ii−i−i−i−iiiii22-2-200002i2i−2i−2i000000000000000000000000-1-111−i−iii00000000
χ42222-2-2-2-2222i2i−2i−2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i2-122-2-2-1-1-111-212-2100000000-1-1-1-111112i−i2i−i−2ii−2ii−i−i−i−iiiii-2-2220000−2i−2i2i2i00000000000000000000000011-1-1ii−i−i00000000
χ43222-2-2-2-2222i2i−2i−2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i-12-1-111222-2-21-2-11-200000000-1-1-1-11111−i2i−i2ii−2ii−2i−i−i−i−iiiii0000000000002i2i−2i−2i22-2-2000000000000000000000000-1-111−i−iii
χ44222-2-2-2-2222i2i−2i−2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i-12-1-111222-2-21-2-11-200000000-1-1-1-11111−i2i−i2ii−2ii−2i−i−i−i−iiiii000000000000−2i−2i2i2i-2-22200000000000000000000000011-1-1ii−i−i
χ45222-2-2-2-222−2i−2i2i2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i2-122-2-2-1-1-111-212-2100000000-1-1-1-11111−2ii−2ii2i−i2i−iiiii−i−i−i−i22-2-20000−2i−2i2i2i000000000000000000000000-1-111ii−i−i00000000
χ46222-2-2-2-222−2i−2i2i2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i2-122-2-2-1-1-111-212-2100000000-1-1-1-11111−2ii−2ii2i−i2i−iiiii−i−i−i−i-2-22200002i2i−2i−2i00000000000000000000000011-1-1−i−iii00000000
χ47222-2-2-2-222−2i−2i2i2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i-12-1-111222-2-21-2-11-200000000-1-1-1-11111i−2ii−2i−i2i−i2iiiii−i−i−i−i0000000000002i2i−2i−2i-2-22200000000000000000000000011-1-1−i−iii
χ48222-2-2-2-222−2i−2i2i2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i-12-1-111222-2-21-2-11-200000000-1-1-1-11111i−2ii−2i−i2i−i2iiiii−i−i−i−i000000000000−2i−2i2i2i22-2-2000000000000000000000000-1-111ii−i−i
χ4922-222-2-2-222-22-22-22-22-2-222-2-222-2-22-12-22-2-111112-1-2-2-100000000-1-111-111-12-1-212-1-21-1-111-1-1112-22-200002-22-2000000000000000000000000-11-11-11-1100000000
χ5022-222-2-2-222-22-22-22-22-2-222-2-222-2-22-12-22-2-111112-1-2-2-100000000-1-111-111-12-1-212-1-21-1-111-1-111-22-220000-22-220000000000000000000000001-11-11-11-100000000
χ5122-222-2-2-222-22-22-22-22-2-222-2-222-2-2-12-11-112-2-2-2-2-1211200000000-1-111-111-1-121-2-121-2-1-111-1-1110000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000−ii−ii−ii−ii
χ5222-222-2-2-222-22-22-22-22-2-222-2-222-2-2-12-11-112-2-2-2-2-1211200000000-1-111-111-1-121-2-121-2-1-111-1-111000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000i−ii−ii−ii−i
χ5322-222-2-2-22-22-222-22-22-2-2-2-222-2-2222-12-22-2-111112-1-2-2-100000000-1-111-111-1-212-1-212-111-1-111-1-12-22-20000-22-22000000000000000000000000-11-111-11-100000000
χ5422-222-2-2-22-22-222-22-22-2-2-2-222-2-2222-12-22-2-111112-1-2-2-100000000-1-111-111-1-212-1-212-111-1-111-1-1-22-2200002-22-20000000000000000000000001-11-1-11-1100000000
χ5522-222-2-2-22-22-222-22-22-2-2-2-222-2-222-12-11-112-2-2-2-2-1211200000000-1-111-111-11-2-121-2-1211-1-111-1-10000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000i−ii−i−ii−ii
χ5622-222-2-2-22-22-222-22-22-2-2-2-222-2-222-12-11-112-2-2-2-2-1211200000000-1-111-111-11-2-121-2-1211-1-111-1-1000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000−ii−iii−ii−i
χ5722-2-2-222-222i−2i−2i2i2-2-22-2-222i2i−2i−2i−2i−2i2i2i2-12-2-22-111-1-1-21-22100000000-1-1111-1-112i−i−2ii−2ii2i−i−i−iiiii−i−i2-2-2200002i−2i−2i2i000000000000000000000000-111-1−iii−i00000000
χ5822-2-2-222-222i−2i−2i2i2-2-22-2-222i2i−2i−2i−2i−2i2i2i2-12-2-22-111-1-1-21-22100000000-1-1111-1-112i−i−2ii−2ii2i−i−i−iiiii−i−i-222-20000−2i2i2i−2i0000000000000000000000001-1-11i−i−ii00000000
χ5922-2-2-222-222i−2i−2i2i2-2-22-2-222i2i−2i−2i−2i−2i2i2i-12-111-12-2-2221-21-1-200000000-1-1111-1-11−i2ii−2ii−2i−i2i−i−iiiii−i−i0000000000002-2-22−2i2i2i−2i000000000000000000000000i−i−ii-111-1
χ6022-2-2-222-222i−2i−2i2i2-2-22-2-222i2i−2i−2i−2i−2i2i2i-12-111-12-2-2221-21-1-200000000-1-1111-1-11−i2ii−2ii−2i−i2i−i−iiiii−i−i000000000000-222-22i−2i−2i2i000000000000000000000000−iii−i1-1-11
χ6122-2-2-222-22−2i2i2i−2i2-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-12-2-22-111-1-1-21-22100000000-1-1111-1-11−2ii2i−i2i−i−2iiii−i−i−i−iii2-2-220000−2i2i2i−2i000000000000000000000000-111-1i−i−ii00000000
χ6222-2-2-222-22−2i2i2i−2i2-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-12-2-22-111-1-1-21-22100000000-1-1111-1-11−2ii2i−i2i−i−2iiii−i−i−i−iii-222-200002i−2i−2i2i0000000000000000000000001-1-11−iii−i00000000
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χ1286-6-6-666-66-3000033-3-33-33−333333−3333−33−33330000000000000000-222-22-2-22000000000000000000000000000000000000000000001-1-11-111-13−3−33−333−30000000000000000

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