Finite Group Databasebeta

← Group #13169447

Character table — Group #13169447

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222333344444444444444444444446666666666666666668888888888889999121212121212121212121212121212121212121212121212121212121818181818181818181818181818242424242424242427272727363636363636363636365454
order1222333446666666664444333666666666121212121212121212124444444444121212121212121236661212121212121212444412121212121212121212121212121212121212121212121212121212444444444412121212121212121212121222221212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111
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
χ91111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-111-1-11111-1-111-1-111-1-1-1-1
χ101111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111
χ121111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1111111-1-1-1-111-1-111-1-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-111
χ171-1-111111-1-1-111-1-1-11-1ii−i−i111-1-1-111-1-1-1111-1-11-111-1-1i−ii−ii−i1-11-1iiii−i−i−i−i1-1-111-11-111-1-1ii−i−i11-1-111-1-1i−ii−ii−ii−ii−ii−iii−i−iii−i−ii−ii−ii−i1-11-1ii−i−ii−ii−i1-11-111-1-1i−i1-11-1i−ii−i1-1
χ181-1-111111-1-1-111-1-1-11-1ii−i−i111-1-1-111-1-1-1111-1-11-111-1-1i−ii−ii−i-11-11iiii−i−i−i−i1-1-111-11-111-1-1−i−iii-1-111-1-111i−ii−ii−ii−ii−ii−iii−i−iii−i−i−ii−ii−ii1-11-1−i−iiii−ii−i-11-11-1-111−ii1-11-1−ii−ii-11
χ191-1-111111-1-1-111-1-1-11-1ii−i−i111-1-1-111-1-1-1111-1-11-111-1-1i−i−ii−ii1-11-1iiii−i−i−i−i1-1-111-11-111-1-1−i−iii11-1-111-1-1i−i−ii−ii−ii−iii−iii−i−iii−i−ii−ii−i−ii-11-11−i−iii−ii−ii1-11-1-1-111−ii-11-11i−ii−i-11
χ201-1-111111-1-1-111-1-1-11-1ii−i−i111-1-1-111-1-1-1111-1-11-111-1-1i−i−ii−ii-11-11iiii−i−i−i−i1-1-111-11-111-1-1ii−i−i-1-111-1-111i−i−ii−ii−ii−iii−iii−i−iii−i−i−ii−iii−i-11-11ii−i−i−ii−ii-11-1111-1-1i−i-11-11−ii−ii1-1
χ211-1-111111-1-1-111-1-1-11-1−i−iii111-1-1-111-1-1-1111-1-11-111-1-1−iii−ii−i1-11-1−i−i−i−iiiii1-1-111-11-111-1-1ii−i−i11-1-111-1-1−iii−ii−ii−ii−i−ii−i−iii−i−iii−ii−iii−i-11-11ii−i−ii−ii−i1-11-1-1-111i−i-11-11−ii−ii-11
χ221-1-111111-1-1-111-1-1-11-1−i−iii111-1-1-111-1-1-1111-1-11-111-1-1−iii−ii−i-11-11−i−i−i−iiiii1-1-111-11-111-1-1−i−iii-1-111-1-111−iii−ii−ii−ii−i−ii−i−iii−i−iiii−ii−i−ii-11-11−i−iiii−ii−i-11-1111-1-1−ii-11-11i−ii−i1-1
χ231-1-111111-1-1-111-1-1-11-1−i−iii111-1-1-111-1-1-1111-1-11-111-1-1−ii−ii−ii1-11-1−i−i−i−iiiii1-1-111-11-111-1-1−i−iii11-1-111-1-1−ii−ii−ii−ii−ii−ii−i−iii−i−iii−ii−ii−ii1-11-1−i−iii−ii−ii1-11-111-1-1−ii1-11-1−ii−ii1-1
χ241-1-111111-1-1-111-1-1-11-1−i−iii111-1-1-111-1-1-1111-1-11-111-1-1−ii−ii−ii-11-11−i−i−i−iiiii1-1-111-11-111-1-1ii−i−i-1-111-1-111−ii−ii−ii−ii−ii−ii−i−iii−i−iiii−ii−ii−i1-11-1ii−i−i−ii−ii-11-11-1-111i−i1-11-1i−ii−i-11
χ251-1-11111-11-1-111-1-1-11-1ii−i−i111-1-1-111-1-1-11-1-111-11-1-111−iii−i−ii1-1-11iiii−i−i−i−i1-1-11-11-11-1-111ii−i−i11-1-1-1-111−iii−i−iii−i−ii−iiii−i−i−i−iiii−i−ii−ii1-1-11ii−i−ii−i−ii1-1-1111-1-1−ii1-1-11i−i−ii-11
χ261-1-11111-11-1-111-1-1-11-1ii−i−i111-1-1-111-1-1-11-1-111-11-1-111−iii−i−ii-111-1iiii−i−i−i−i1-1-11-11-11-1-111−i−iii-1-11111-1-1−iii−i−iii−i−ii−iiii−i−i−i−iii−iii−ii−i1-1-11−i−iiii−i−ii-111-1-1-111i−i1-1-11−iii−i1-1
χ271-1-11111-11-1-111-1-1-11-1ii−i−i111-1-1-111-1-1-11-1-111-11-1-111−ii−iii−i1-1-11iiii−i−i−i−i1-1-11-11-11-1-111−i−iii11-1-1-1-111−ii−iii−i−iii−i−iiii−i−i−i−iiii−i−iii−i-111-1−i−iii−iii−i1-1-11-1-111i−i-111-1i−i−ii1-1
χ281-1-11111-11-1-111-1-1-11-1ii−i−i111-1-1-111-1-1-11-1-111-11-1-111−ii−iii−i-111-1iiii−i−i−i−i1-1-11-11-11-1-111ii−i−i-1-11111-1-1−ii−iii−i−iii−i−iiii−i−i−i−iii−iii−i−ii-111-1ii−i−i−iii−i-111-111-1-1−ii-111-1−iii−i-11
χ291-1-11111-11-1-111-1-1-11-1−i−iii111-1-1-111-1-1-11-1-111-11-1-111i−ii−i−ii1-1-11−i−i−i−iiiii1-1-11-11-11-1-111ii−i−i11-1-1-1-111i−ii−i−iii−i−iii−i−i−iiiii−i−i−iii−i−ii-111-1ii−i−ii−i−ii1-1-11-1-111−ii-111-1−iii−i1-1
χ301-1-11111-11-1-111-1-1-11-1−i−iii111-1-1-111-1-1-11-1-111-11-1-111i−ii−i−ii-111-1−i−i−i−iiiii1-1-11-11-11-1-111−i−iii-1-11111-1-1i−ii−i−iii−i−iii−i−i−iiiii−i−ii−i−iii−i-111-1−i−iiii−i−ii-111-111-1-1i−i-111-1i−i−ii-11
χ311-1-11111-11-1-111-1-1-11-1−i−iii111-1-1-111-1-1-11-1-111-11-1-111i−i−iii−i1-1-11−i−i−i−iiiii1-1-11-11-11-1-111−i−iii11-1-1-1-111i−i−iii−i−iii−ii−i−i−iiiii−i−i−iii−ii−i1-1-11−i−iii−iii−i1-1-1111-1-1i−i1-1-11−iii−i-11
χ321-1-11111-11-1-111-1-1-11-1−i−iii111-1-1-111-1-1-11-1-111-11-1-111i−i−iii−i-111-1−i−i−i−iiiii1-1-11-11-11-1-111ii−i−i-1-11111-1-1i−i−iii−i−iii−ii−i−i−iiiii−i−ii−i−ii−ii1-1-11ii−i−i−iii−i-111-1-1-111−ii1-1-11i−i−ii1-1
χ33222222-122222-12-1-12200002-1-1-1-1-12-122-1-12-12-1222222002222222200000000-1-1-1-1-1-1-1-1-1-1-1-122222-12-12-12-1002222-1-1-1-100000000000000220000-1-1-1-1-1-1-1-1-1-1-1-10000-1-10000000000
χ34222222-122222-12-1-12200002-1-1-1-1-12-122-1-12-12-1222222002222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21-21-21-21002222-1-1-1-100000000000000-2-200001111-1-1-1-111110000110000000000
χ35222222-122222-12-1-12200002-1-1-1-1-12-122-1-12-12-122222200-2-2-2-2222200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-12-12-12-100-2-2-2-2111100000000000000-2-2000011111111-1-1-1-10000110000000000
χ36222222-122222-12-1-12200002-1-1-1-1-12-122-1-12-12-122222200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-12222-21-21-21-2100-2-2-2-2111100000000000000220000-1-1-1-1111111110000-1-10000000000
χ37222222-1-2-2222-12-1-12200002-1-1-1-1-12-122-1-1-21-21-2-2-2-2-2-20022-2-222-2-200000000-1-1-1-11111111122222-12-1-21-210022-2-2-1-11100000000000000-2-20000-1-1-1-1-1-111-1-1110000110000000000
χ38222222-1-2-2222-12-1-12200002-1-1-1-1-12-122-1-1-21-21-2-2-2-2-2-20022-2-2-2-22200000000-1-1-1-111111111-2-2-2-2-21-212-12-10022-2-2-1-111000000000000002200001111-1-11111-1-10000-1-10000000000
χ39222222-1-2-2222-12-1-12200002-1-1-1-1-12-122-1-1-21-21-2-2-2-2-2-200-2-22222-2-200000000-1-1-1-111111111-2-2-2-22-12-1-21-2100-2-22211-1-100000000000000220000111111-1-1-1-1110000-1-10000000000
χ40222222-1-2-2222-12-1-12200002-1-1-1-1-12-122-1-1-21-21-2-2-2-2-2-200-2-222-2-22200000000-1-1-1-1111111112222-21-212-12-100-2-22211-1-100000000000000-2-20000-1-1-1-111-1-111-1-10000110000000000
χ4122222-12222-122-122-122222-12-122-1-1-1-1-1-122222-1-1-1-1-1-1222222000022-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-100000022220000-1-1-1-10000000000-1-1-1-1000000
χ4222222-12222-122-122-122222-12-122-1-1-1-1-1-122222-1-1-1-1-1-122-2-2-2-2000022-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000000000-1-11111-2-2-2-222-1-1-1-1-1-1-1-1000000-2-2-2-20000111100000000001111000000
χ4322222-12222-122-122-12-2-2-2-2-12-122-1-1-1-1-1-122222-1-1-1-1-1-1-2-222220000-2-211-2-211-1-1-1-1-1-122-1-1-1-100000000000011-1-1-1-12222-2-211111111000000-2-2-2-20000-1-1-1-100000000001111000000
χ4422222-12222-122-122-12-2-2-2-2-12-122-1-1-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-2-20000-2-211-2-211-1-1-1-1-1-122-1-1-1-1000000000000111111-2-2-2-2-2-2111111110000002222000011110000000000-1-1-1-1000000
χ4522222-12-2-22-122-122-122222-12-122-1-1-1-1-1-12-2-2-2-2111111-2-222-2-2000022-1-122-1-1-1-1-1-111-2-2111100000000000011-1-11122-2-2-2-2-1-1-1-1111100000022-2-20000-1-1110000000000-1-111000000
χ4622222-12-2-22-122-122-122222-12-122-1-1-1-1-1-12-2-2-2-2111111-2-2-2-222000022-1-122-1-1-1-1-1-111-2-211110000000000001111-1-1-2-222-2-2-1-1-1-11111000000-2-222000011-1-1000000000011-1-1000000
χ4722222-12-2-22-122-122-12-2-2-2-2-12-122-1-1-1-1-1-12-2-2-2-21111112222-2-20000-2-211-2-211-1-1-1-111-2-21111000000000000-1-1-1-11122-2-2221111-1-1-1-1000000-2-2220000-1-111000000000011-1-1000000
χ4822222-12-2-22-122-122-12-2-2-2-2-12-122-1-1-1-1-1-12-2-2-2-211111122-2-2220000-2-211-2-211-1-1-1-111-2-21111000000000000-1-111-1-1-2-222221111-1-1-1-100000022-2-2000011-1-10000000000-1-111000000
χ492222-12222-12-122222-12222-1-12-1-12-12-1-12-1-12-1222-1-1-1-12200002222-1-122-1-122-1-1-1-122-1-1-1-1-1-10000-12-12-12-122200000000-1-1-1-1-1-1-1-1-1-1222200000000000000-1-1-1-10000000000-1-1-1-100
χ502222-12222-12-122222-12222-1-12-1-12-12-1-12-1-12-1222-1-1-1-1220000-2-2-2-2-1-122-1-122-1-1-1-122-1-1-1-1-1-100001-21-21-21-22200000000-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000011110000000000111100
χ512222-12222-12-122222-1-2-2-2-2-1-12-1-12-12-1-12-1-12-1222-1-1-1-1-2-20000222211-2-211-2-2-1-1-1-122-1-1-1-1-1-10000-12-12-12-12-2-2000000001111111111-2-2-2-200000000000000-1-1-1-10000000000111100
χ522222-12222-12-122222-1-2-2-2-2-1-12-1-12-12-1-12-1-12-1222-1-1-1-1-2-20000-2-2-2-211-2-211-2-2-1-1-1-122-1-1-1-1-1-100001-21-21-21-2-2-200000000111111111122220000000000000011110000000000-1-1-1-100
χ532222-122-2-2-12-122222-12222-1-12-1-12-12-1-12-11-21-2-2-21111-2-2000022-2-2-1-122-1-122-1-1-1-1-2-21111110000-12-121-21-2-2-20000000011-1-1-1-1111122-2-200000000000000-1-1110000000000-1-11100
χ542222-122-2-2-12-122222-12222-1-12-1-12-12-1-12-11-21-2-2-21111-2-20000-2-222-1-122-1-122-1-1-1-1-2-211111100001-21-2-12-12-2-20000000011-1-1-1-11111-2-2220000000000000011-1-1000000000011-1-100
χ552222-122-2-2-12-122222-1-2-2-2-2-1-12-1-12-12-1-12-11-21-2-2-2111122000022-2-211-2-211-2-2-1-1-1-1-2-21111110000-12-121-21-22200000000-1-11111-1-1-1-1-2-22200000000000000-1-111000000000011-1-100
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χ1324-4-44-2-24-4422-242-4-4-22−4i−4i4i4i1-2-22221-2-1-12-22-4-242-2-1-1114i−4i000000002i2i2i2i−2i−2i−2i−2i1-1-112-22-2-1-111000000000000−2i2i00000000−2i2i−i−iiiii−i−i00000000000000000000000000000000000000
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
χ13588-8-88-4-4008-4-844-444-80000-4-42-4424-2-44-24000000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-48-400-4844-8-44-840000-42-42-2-444-444-2000000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13788-8-8-4-4-400-4-4444-444400002222-22-2-22-2-2-20000006i−6i6i−6i000000000000000000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-4-4-400-4-4444-444400002222-22-2-22-2-2-2000000−6i6i−6i6i000000000000000000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-88-4-400-84-84-44-4480000-4-424-4-24-24-42400000000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8-48-4004-84484-4-8-40000-42-4-224444-4-4-200000000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4-4-4004444-44-44-40000222-22-2-2-2-222-20000006i−6i−6i6i000000000000000000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-4-4-4004444-44-44-40000222-22-2-2-2-222-2000000−6i6i6i−6i000000000000000000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-4-48-844-4-4444-440000222-2-2-222-2-2-22-4-444-4422-2-2000000000000000000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-4-8844-4-4444-440000222-2-2-222-2-2-2244-4-44-4-2-222000000000000000000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000000000

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