Finite Group Databasebeta

← Group #13168690

Character table — Group #13168690

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222222222222444444444444444444444444666666666666888888881212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121818181818181818181818182727272727272727363636363636363636363636
order1222444433366666666612121212121212121212121233366666666612121212121212121212121222224444444436661212121266666666666666661212121212121212121212121212121212121212121212121212121212121212224444444444444444446612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-111-1-11111-1-1-1-111-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ511111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-111-1-111-1-1-1-11111-1-11111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111
χ91111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ101111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111
χ111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1
χ121111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ131111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ141111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1
χ151111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111
χ161111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111
χ1711-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11-1-11111-1-11111-1-1-1-11-11-11-11-1i−ii−i1-1-1111-1-11-11-11-11-111-1-111-1-11-11-1ii−i−iii−i−i1-11-1ii−i−iii−i−i11-1-111-1-11-11-1i−ii−ii−ii−iii−i−iii−i−i1-1i−ii−ii−ii−i1-1
χ1811-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11-1-11111-1-11111-1-1-1-11-11-11-11-1−ii−ii1-1-1111-1-11-11-11-11-111-1-111-1-11-11-1−i−iii−i−iii1-11-1−i−iii−i−iii11-1-111-1-11-11-1−ii−ii−ii−ii−i−iii−i−iii1-1−ii−ii−ii−ii1-1
χ1911-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11-1-11111-1-11111-1-1-1-11-1-111-1-11i−ii−i1-1-1111-1-11-1-111-1-1111-1-1-1-1111-1-11ii−i−iii−i−i1-1-11ii−i−iii−i−i11-1-1-1-111-11-11i−ii−i−ii−ii−i−iii−i−iii-11i−ii−i−ii−ii-11
χ2011-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11-1-11111-1-11111-1-1-1-11-1-111-1-11−ii−ii1-1-1111-1-11-1-111-1-1111-1-1-1-1111-1-11−i−iii−i−iii1-1-11−i−iii−i−iii11-1-1-1-111-11-11−ii−iii−ii−iii−i−iii−i−i-11−ii−iii−ii−i-11
χ2111-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11-1-11111-1-11111-1-1-1-1-111-1-111-1i−ii−i1-1-1111-1-1-111-1-111-1-1-11111-1-1-111-1ii−i−iii−i−i-111-1ii−i−iii−i−i-1-11111-1-1-11-11−ii−iii−ii−i−i−iii−i−iii-11−ii−iii−ii−i-11
χ2211-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11-1-11111-1-11111-1-1-1-1-111-1-111-1−ii−ii1-1-1111-1-1-111-1-111-1-1-11111-1-1-111-1−i−iii−i−iii-111-1−i−iii−i−iii-1-11111-1-1-11-11i−ii−i−ii−iiii−i−iii−i−i-11i−ii−i−ii−ii-11
χ2311-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11-1-11111-1-11111-1-1-1-1-11-11-11-11i−ii−i1-1-1111-1-1-11-11-11-11-1-111-1-111-11-11ii−i−iii−i−i-11-11ii−i−iii−i−i-1-111-1-1111-11-1−ii−ii−ii−iiii−i−iii−i−i1-1−ii−ii−ii−ii1-1
χ2411-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11-1-11111-1-11111-1-1-1-1-11-11-11-11−ii−ii1-1-1111-1-1-11-11-11-11-1-111-1-111-11-11−i−iii−i−iii-11-11−i−iii−i−iii-1-111-1-1111-11-1i−ii−ii−ii−i−i−iii−i−iii1-1i−ii−ii−ii−i1-1
χ2511-1-1-1-111111-1-111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-11-1-111-1-111-1-1-1-111111-11-1-11-11i−i−ii1-1-11-1-1111-11-11-11-111-1-111-1-1-11-11ii−i−i−i−iii-11-11ii−i−i−i−iii-1-111-1-111-111-1i−i−iii−i−iiii−i−i−i−iii-11i−i−iii−i−ii1-1
χ2611-1-1-1-111111-1-111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-11-1-111-1-111-1-1-1-111111-11-1-11-11−iii−i1-1-11-1-1111-11-11-11-111-1-111-1-1-11-11−i−iiiii−i−i-11-11−i−iiiii−i−i-1-111-1-111-111-1−iii−i−iii−i−i−iiiii−i−i-11−iii−i−iii−i1-1
χ2711-1-1-1-111111-1-111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-11-1-111-1-111-1-1-1-111111-1-11-111-1i−i−ii1-1-11-1-1111-1-111-1-1111-1-1-1-111-111-1ii−i−i−i−iii-111-1ii−i−i−i−iii-1-11111-1-11-1-11i−i−ii−iii−i−i−iiiii−i−i1-1i−i−ii−iii−i-11
χ2811-1-1-1-111111-1-111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-11-1-111-1-111-1-1-1-111111-1-11-111-1−iii−i1-1-11-1-1111-1-111-1-1111-1-1-1-111-111-1−i−iiiii−i−i-111-1−i−iiiii−i−i-1-11111-1-11-1-11−iii−ii−i−iiii−i−i−i−iii1-1−iii−ii−i−ii-11
χ2911-1-1-1-111111-1-111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-11-1-111-1-111-1-1-1-11111-111-11-1-11i−i−ii1-1-11-1-111-111-1-111-1-1-11111-1-11-1-11ii−i−i−i−iii1-1-11ii−i−i−i−iii11-1-1-1-1111-1-11−iii−ii−i−ii−i−iiiii−i−i1-1−iii−ii−i−ii-11
χ3011-1-1-1-111111-1-111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-11-1-111-1-111-1-1-1-11111-111-11-1-11−iii−i1-1-11-1-111-111-1-111-1-1-11111-1-11-1-11−i−iiiii−i−i1-1-11−i−iiiii−i−i11-1-1-1-1111-1-11i−i−ii−iii−iii−i−i−i−iii1-1i−i−ii−iii−i-11
χ3111-1-1-1-111111-1-111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-11-1-111-1-111-1-1-1-11111-11-111-11-1i−i−ii1-1-11-1-111-11-11-11-11-1-111-1-1111-11-1ii−i−i−i−iii1-11-1ii−i−i−i−iii11-1-111-1-1-111-1−iii−i−iii−iii−i−i−i−iii-11−iii−i−iii−i1-1
χ3211-1-1-1-111111-1-111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-11-1-111-1-111-1-1-1-11111-11-111-11-1−iii−i1-1-11-1-111-11-11-11-11-1-111-1-1111-11-1−i−iiiii−i−i1-11-1−i−iiiii−i−i11-1-111-1-1-111-1i−i−iii−i−ii−i−iiiii−i−i-11i−i−iii−i−ii1-1
χ332222222222-1-1-1222222-122222222-1-1-1-12-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000-1-1-1-1-1-1-1-122220000000000000000-1-100000000-1-1
χ342222222222-1-1-1222222-122222222-1-1-1-12-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-122-2-222-2-20000-1-1-1-1-1-1-1-122-2-2-1-111-1-1-1-1111122-2-200000000-1-11100000000-1-1-1-11111-2-2-2-20000000000000000110000000011
χ352222222222-1-1-1222222-122222222-1-1-1-12-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-2-222-2-2220000-1-1-1-1-1-1-1-1-2-22211-1-11111-1-1-1-1-2-2220000000011-1-1000000001111-1-1-1-1-2-2-2-20000000000000000110000000011
χ362222222222-1-1-1222222-122222222-1-1-1-12-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2000000001111000000001111111122220000000000000000-1-100000000-1-1
χ37222222222-12222-122-1-1222-1-122-1-12222-12-122-1-1-1-1-12-1-1-1-1-122-1-122-1-1002200222222-1-1-1-1-1-1-1-100-1-100220000-1-1-1-100-1-12-12-12-12-10022-1-1-1-1-1-1-1-10000-1-1-1-100000000222200000000000000-1-1-1-100
χ38222222222-12222-122-1-1222-1-122-1-12222-12-122-1-1-1-1-12-1-1-1-1-122-1-122-1-100220022-2-2-2-2-1-1-1-1-1-1-1-100-1-100220000-1-1-1-100-1-1-21-21-21-210022111111110000-1-1-1-100000000-2-2-2-200000000000000111100
χ39222222222-12222-122-1-1222-1-122-1-12222-12-122-1-1-1-1-12-1-1-1-1-122-1-122-1-100-2-200-2-22222-1-1-1-1-1-1-1-1001100-2-20000111100112-12-12-12-100-2-2-1-1-1-1-1-1-1-10000111100000000-2-2-2-200000000000000111100
χ40222222222-12222-122-1-1222-1-122-1-12222-12-122-1-1-1-1-12-1-1-1-1-122-1-122-1-100-2-200-2-2-2-2-2-2-1-1-1-1-1-1-1-1001100-2-2000011110011-21-21-21-2100-2-2111111110000111100000000222200000000000000-1-1-1-100
χ4122222222-12222-12-1-1222-1-122-1-1222222-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-122220022002222-1-1-1-1-1-1-1-1-1-1002200-1-1-1-10000-1-100-12-12-12-122200-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000000000-1-1-1-1000000
χ4222222222-12222-12-1-1222-1-122-1-1222222-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-12222002200-2-2-2-2-1-1-1-1-1-1-1-1-1-1002200-1-1-1-10000-1-1001-21-21-21-2220011111111-1-1-1-100000000-2-2-2-2000000000000001111000000
χ4322222222-12222-12-1-1222-1-122-1-1222222-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-122-2-200-2-2002222-1-1-1-1-1-1-1-11100-2-200111100001100-12-12-12-12-2-200-1-1-1-1-1-1-1-1111100000000-2-2-2-2000000000000001111000000
χ4422222222-12222-12-1-1222-1-122-1-1222222-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-122-2-200-2-200-2-2-2-2-1-1-1-1-1-1-1-11100-2-2001111000011001-21-21-21-2-2-20011111111111100000000222200000000000000-1-1-1-1000000
χ452222-2-2-2-222-1-1-1222222-1-2-2-2-2-2-2-2-211112-1-1-1-1-1-1222-1-1-2-2-2-2111111112222-2-2-2-20000-1-1-1-111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011110000000011111111-2-22200000000000000001100000000-1-1
χ462222-2-2-2-222-1-1-1222222-1-2-2-2-2-2-2-2-211112-1-1-1-1-1-1222-1-1-2-2-2-21111111122-2-2-2-2220000-1-1-1-1111122-2-2-1-111-1-1-1-11111-2-2220000000011-1-1000000001111-1-1-1-122-2-20000000000000000-1-10000000011
χ472222-2-2-2-222-1-1-1222222-1-2-2-2-2-2-2-2-211112-1-1-1-1-1-1222-1-1-2-2-2-211111111-2-22222-2-20000-1-1-1-11111-2-22211-1-11111-1-1-1-122-2-200000000-1-11100000000-1-1-1-1111122-2-20000000000000000-1-10000000011
χ482222-2-2-2-222-1-1-1222222-1-2-2-2-2-2-2-2-211112-1-1-1-1-1-1222-1-1-2-2-2-211111111-2-2-2-222220000-1-1-1-11111-2-2-2-2111111111111222200000000-1-1-1-100000000-1-1-1-1-1-1-1-1-2-22200000000000000001100000000-1-1
χ492222-2-2-2-22-12222-122-1-12-2-211-2-211-2-2-2-2-12-122-1-1-1-1-12-11111-2-211-2-211002200-2-222-2-2-1-1-1-1111100-1-100220000-1-1-1-100112-12-1-21-2100-2-2-1-1-1-11111000011110000000022-2-200000000000000-1-11100
χ502222-2-2-2-22-12222-122-1-12-2-211-2-211-2-2-2-2-12-122-1-1-1-1-12-11111-2-211-2-211002200-2-2-2-222-1-1-1-1111100-1-100220000-1-1-1-10011-21-212-12-100-2-21111-1-1-1-10000111100000000-2-2220000000000000011-1-100
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Here i is the imaginary unit (i² = −1).