Finite Group Databasebeta

← Group #13167872

Character table — Group #13167872

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222333344444444444444444444446666666666666666668888888888889999121212121212121212121212121212121212121212121212121212121818181818181818181818181818242424242424242427272727363636363636363636365454
order12223334466666666644443336666666661212121212121212121222222244441212121212121212366612121212121212124444666666666666666612121212121212121212121244444444441212121266661212121244441212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-1-1-1
χ101111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111
χ111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ121111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-111-1-111-1-11111-1-111-1-1111111-1-1-1-111-1-111-1-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-111
χ1711-1-11111-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1111-11-11-11-111-1-11-11-11-1i−ii−i11-1-111-1-11-1-1111-1-111-1-1ii−i−i1-11-11-11-11-11-111-1-1i−ii−ii−ii−i11-1-11-11-1i−ii−ii−iii−i−i1-11-1i−ii−iii−i−ii−ii−ii−i1-11-1i−i
χ1811-1-11111-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1111-11-11-11-111-1-11-11-11-1−ii−ii11-1-111-1-11-1-1111-1-111-1-1−i−iii1-11-11-11-11-11-111-1-1−ii−ii−ii−ii11-1-11-11-1−ii−ii−ii−i−iii1-11-1−ii−ii−i−iii−ii−ii−ii1-11-1−ii
χ1911-1-11111-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1111-11-11-11-111-1-11-1-11-11i−ii−i11-1-111-1-11-1-1111-1-111-1-1−i−iii1-1-11-111-1-11-1111-1-1i−ii−ii−ii−i11-1-1-11-11i−ii−i−ii−i−iii-11-11i−ii−i−i−iii−iii−ii−i-11-11−ii
χ2011-1-11111-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1111-11-11-11-111-1-11-1-11-11−ii−ii11-1-111-1-11-1-1111-1-111-1-1ii−i−i1-1-11-111-1-11-1111-1-1−ii−ii−ii−ii11-1-1-11-11−ii−iii−iii−i−i-11-11−ii−iiii−i−ii−i−ii−ii-11-11i−i
χ2111-1-11111-1-1-111-1-1-1-11-1-111111-1-1-1-1-1111-11-11-11-111-1-1-111-11-1i−ii−i-1-111-1-1111-1-1111-1-111-1-1ii−i−i-111-11-1-111-11-1-1-111i−ii−ii−ii−i-1-111-11-11−ii−iii−iii−i−i1-11-1i−ii−i−i−iiii−i−ii−ii-11-11−ii
χ2211-1-11111-1-1-111-1-1-1-11-1-111111-1-1-1-1-1111-11-11-11-111-1-1-111-11-1−ii−ii-1-111-1-1111-1-1111-1-111-1-1−i−iii-111-11-1-111-11-1-1-111−ii−ii−ii−ii-1-111-11-11i−ii−i−ii−i−iii1-11-1−ii−iiii−i−i−iii−ii−i-11-11i−i
χ2311-1-11111-1-1-111-1-1-1-11-1-111111-1-1-1-1-1111-11-11-11-111-1-1-11-11-11i−ii−i-1-111-1-1111-1-1111-1-111-1-1−i−iii-11-11-11-11-11-11-1-111i−ii−ii−ii−i-1-1111-11-1−ii−ii−ii−i−iii-11-11i−ii−iii−i−i−ii−ii−ii1-11-1i−i
χ2411-1-11111-1-1-111-1-1-1-11-1-111111-1-1-1-1-1111-11-11-11-111-1-1-11-11-11−ii−ii-1-111-1-1111-1-1111-1-111-1-1ii−i−i-11-11-11-11-11-11-1-111−ii−ii−ii−ii-1-1111-11-1i−ii−ii−iii−i−i-11-11−ii−ii−i−iiii−ii−ii−i1-11-1−ii
χ2511-1-1111-11-1-111-1-1-1-1111-1-1111-1-1-1-1-1111-1-11-11-11-1-111-111-1-11i−i−ii11-1-111-1-11-1-11-1-111-1-111ii−i−i-111-1-11-111-1-11-1-111i−i−iii−i−ii11-1-11-1-11i−i−ii−iiii−i−i1-1-11i−i−iiii−i−i−iii−i−ii1-1-11−ii
χ2611-1-1111-11-1-111-1-1-1-1111-1-1111-1-1-1-1-1111-1-11-11-11-1-111-111-1-11−iii−i11-1-111-1-11-1-11-1-111-1-111−i−iii-111-1-11-111-1-11-1-111−iii−i−iii−i11-1-11-1-11−iii−ii−i−i−iii1-1-11−iii−i−i−iiii−i−iii−i1-1-11i−i
χ2711-1-1111-11-1-111-1-1-1-1111-1-1111-1-1-1-1-1111-1-11-11-11-1-111-11-111-1i−i−ii11-1-111-1-11-1-11-1-111-1-111−i−iii-11-111-1-11-111-1-1-111i−i−iii−i−ii11-1-1-111-1i−i−iii−i−i−iii-111-1i−i−ii−i−iiii−ii−i−ii-111-1i−i
χ2811-1-1111-11-1-111-1-1-1-1111-1-1111-1-1-1-1-1111-1-11-11-11-1-111-11-111-1−iii−i11-1-111-1-11-1-11-1-111-1-111ii−i−i-11-111-1-11-111-1-1-111−iii−i−iii−i11-1-1-111-1−iii−i−iiii−i−i-111-1−iii−iii−i−i−ii−iii−i-111-1−ii
χ2911-1-1111-11-1-111-1-1-1-11-1-111111-1-1-1-1-1111-1-11-11-11-1-1111-11-1-11i−i−ii-1-111-1-1111-1-11-1-111-1-111ii−i−i1-11-1-111-11-1-1111-1-1i−i−iii−i−ii-1-111-111-1−iii−i−iiii−i−i1-1-11i−i−ii−i−iii−ii−iii−i-111-1i−i
χ3011-1-1111-11-1-111-1-1-1-11-1-111111-1-1-1-1-1111-1-11-11-11-1-1111-11-1-11−iii−i-1-111-1-1111-1-11-1-111-1-111−i−iii1-11-1-111-11-1-1111-1-1−iii−i−iii−i-1-111-111-1i−i−iii−i−i−iii1-1-11−iii−iii−i−ii−ii−i−ii-111-1−ii
χ3111-1-1111-11-1-111-1-1-1-11-1-111111-1-1-1-1-1111-1-11-11-11-1-1111-1-111-1i−i−ii-1-111-1-1111-1-11-1-111-1-111−i−iii1-1-111-11-1-111-111-1-1i−i−iii−i−ii-1-1111-1-11−iii−ii−i−i−iii-111-1i−i−iiii−i−ii−i−iii−i1-1-11−ii
χ3211-1-1111-11-1-111-1-1-1-11-1-111111-1-1-1-1-1111-1-11-11-11-1-1111-1-111-1−iii−i-1-111-1-1111-1-11-1-111-1-111ii−i−i1-1-111-11-1-111-111-1-1−iii−i−iii−i-1-1111-1-11i−i−ii−iiii−i−i-111-1−iii−i−i−iii−iii−i−ii1-1-11i−i
χ33222222-122-1-1222222-122222-1-12-1-1-1-12-1-122222-1-1-1-1-1-122222200002222-1-1-1-1-1-1-1-12-12-1-1-1-1-10000222222-1-1-1-1-1-1-1-1-1-100000000-1-1-1-122220000000000-1-1-1-100000000000000-1-1-1-100
χ34222222-122-1-1222222-122222-1-12-1-1-1-12-1-122222-1-1-1-1-1-122-2-2-2-200002222-1-1-1-1-1-1-1-12-12-1-1-1-1-1000022-2-2-2-2-1-11111-1-1-1-100000000-1-1-1-1-2-2-2-20000000000111100000000000000111100
χ35222222-122-1-1222222-1-2-2-2-22-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-2-222220000-2-2-2-21111-1-1-1-12-12-1-1-1-1-10000-2-2222211-1-1-1-11111000000001111-2-2-2-20000000000-1-1-1-100000000000000111100
χ36222222-122-1-1222222-1-2-2-2-22-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-2-2-2-2-2-20000-2-2-2-21111-1-1-1-12-12-1-1-1-1-10000-2-2-2-2-2-2111111111100000000111122220000000000111100000000000000-1-1-1-100
χ37222222-1-2-2-1-1222222-122222-1-12-1-1-1-12-1-12-2-2-2-2111111-2-222-2-200002222-1-1-1-1-1-1-1-1-21-2111110000-2-222-2-211-1-111111100000000-1-1-1-122-2-20000000000-1-11100000000000000-1-11100
χ38222222-1-2-2-1-1222222-122222-1-12-1-1-1-12-1-12-2-2-2-2111111-2-2-2-22200002222-1-1-1-1-1-1-1-1-21-2111110000-2-2-2-2221111-1-1111100000000-1-1-1-1-2-222000000000011-1-10000000000000011-1-100
χ39222222-1-2-2-1-1222222-1-2-2-2-22-1-12-1-1-1-12-1-12-2-2-2-21111112222-2-20000-2-2-2-21111-1-1-1-1-21-21111100002222-2-2-1-1-1-111-1-1-1-1000000001111-2-2220000000000-1-1110000000000000011-1-100
χ40222222-1-2-2-1-1222222-1-2-2-2-22-1-12-1-1-1-12-1-12-2-2-2-211111122-2-2220000-2-2-2-21111-1-1-1-1-21-211111000022-2-222-1-111-1-1-1-1-1-100000000111122-2-2000000000011-1-100000000000000-1-11100
χ4122222-122222-122-1-1220000-12-1-122-1-1-1-12-1-1-122222222002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-100222200002222-1-1-1-100000000000022-1-1-1-1-1-1-1-1-1-1-1-10000-1-10000000000
χ4222222-122222-122-1-1220000-12-1-122-1-1-1-12-1-1-122222222002222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-1-1-1-10022220000-2-2-2-21111000000000000-2-21111-1-1-1-111110000110000000000
χ4322222-122222-122-1-1220000-12-1-122-1-1-1-12-1-1-12222222200-2-2-2-2222200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200111100-2-2-2-200002222-1-1-1-1000000000000-2-211111111-1-1-1-10000110000000000
χ4422222-122222-122-1-1220000-12-1-122-1-1-1-12-1-1-12222222200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1222200111100-2-2-2-20000-2-2-2-2111100000000000022-1-1-1-1111111110000-1-10000000000
χ4522222-12-2-222-122-1-1220000-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-20022-2-222-2-200000000-1-1-1-111111111222200-1-1110022-2-2000022-2-2-1-111000000000000-2-2-1-1-1-1-1-111-1-1110000110000000000
χ4622222-12-2-222-122-1-1220000-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-20022-2-2-2-22200000000-1-1-1-111111111-2-2-2-200-1-1110022-2-20000-2-22211-1-1000000000000221111-1-11111-1-10000-1-10000000000
χ4722222-12-2-222-122-1-1220000-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-200-2-22222-2-200000000-1-1-1-111111111-2-2-2-20011-1-100-2-222000022-2-2-1-11100000000000022111111-1-1-1-1110000-1-10000000000
χ4822222-12-2-222-122-1-1220000-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-200-2-222-2-22200000000-1-1-1-11111111122220011-1-100-2-2220000-2-22211-1-1000000000000-2-2-1-1-1-111-1-111-1-10000110000000000
χ492222-12222222-1-122-122222-1-12-1-1-122-12-1-122-1-122-1-1-1-12200002222-1-1-1-12222-1-1-1-1-12-12-1-1-1-10000-1-10000220000-1-1-1-1-1-1-1-12222-1-1-1-1000022220000000000-1-1-1-1000000-1-1-1-1000000
χ502222-12222222-1-122-122222-1-12-1-1-122-12-1-122-1-122-1-1-1-1220000-2-2-2-2-1-1-1-12222-1-1-1-1-12-12-1-1-1-10000-1-10000220000-1-1-1-11111-2-2-2-2-1-1-1-10000-2-2-2-2000000000011110000001111000000
χ512222-12222222-1-122-12-2-2-2-2-1-12-1-1-122-12-1-122-1-122-1-1-1-1-2-2000022221111-2-2-2-2-1-1-1-1-12-12-1-1-1-10000110000-2-200001111-1-1-1-1222211110000-2-2-2-20000000000-1-1-1-10000001111000000
χ522222-12222222-1-122-12-2-2-2-2-1-12-1-1-122-12-1-122-1-122-1-1-1-1-2-20000-2-2-2-21111-2-2-2-2-1-1-1-1-12-12-1-1-1-10000110000-2-2000011111111-2-2-2-211110000222200000000001111000000-1-1-1-1000000
χ532222-122-2-2222-1-122-122222-1-12-1-1-122-12-1-1-2-211-2-21111-2-2000022-2-2-1-1-1-12222-1-1-1-11-21-211110000110000-2-200001111-1-11122-2-2-1-1-1-1000022-2-20000000000-1-111000000-1-111000000
χ542222-122-2-2222-1-122-122222-1-12-1-1-122-12-1-1-2-211-2-21111-2-20000-2-222-1-1-1-12222-1-1-1-11-21-211110000110000-2-20000111111-1-1-2-222-1-1-1-10000-2-222000000000011-1-100000011-1-1000000
χ552222-122-2-2222-1-122-12-2-2-2-2-1-12-1-1-122-12-1-1-2-211-2-2111122000022-2-21111-2-2-2-2-1-1-1-11-21-211110000-1-10000220000-1-1-1-1-1-11122-2-211110000-2-2220000000000-1-11100000011-1-1000000
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χ1338888-4-4-488-4-4-4-4-4-4-4-4-40000222222222222-4-4-4-4-4-42222000000000000000000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1348888-4-4-4-8-8-4-4-4-4-4-4-4-4-40000222222222222444444-2-2-2-2000000000000000000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000000000
χ13588-8-8-4-4-48-844-4-44444-40000222-2-2-2-2-2222-2-44-44-4422-2-2000000000000000000-111-122-2-2-1-1110000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-4-4-4-8844-4-44444-40000222-2-2-2-2-2222-24-44-44-4-2-222000000000000000000-111-1-2-22211-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-88-4-400-444-884-4-840000-4-424-442-24-24-4000000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-88-8-4-48008-844-44-44-800002-4-4-2-44-44-2442000000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-8-4-4-400-4444-44-4440000222-22-22-2-2-2-220000006i−6i6i−6i000000000000000000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8-4-4-400-4444-44-4440000222-22-22-2-2-2-22000000−6i6i−6i6i000000000000000000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1418-8-888-4-4004-44-8-8-44840000-4-42-44-4-224-24400000000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8-88-4-4800-88444-44-4-800002-4-424-44-4-244-200000000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-4-4004-4444-44-4400002222-22-22-2-2-2-20000006i−6i−6i6i000000000000000000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-4004-4444-44-4400002222-22-22-2-2-2-2000000−6i6i6i−6i000000000000000000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000

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