Finite Group Databasebeta

← Group #13168644

Character table — Group #13168644

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222333344444444444444444444446666666666666666668888888888889999121212121212121212121212121212121212121212121212121212121818181818181818181818181818242424242424242427272727363636363636363636365454
order122233344666666666444433366666666612121212121212121212224444444412121212121212123666121212121212121244446666666612121212121212121212121212121212121212122244444444121212121212121212121212222266121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111
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
χ91111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1111111-1-111-1-11111-1-111-1-111-1-1-1-1
χ101111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111
χ121111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1111111-1-111-1-1111111-1-1-1-111-1-111-1-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-111
χ171-1-111111-111-1-1-1-11-1-111-1-1111-1-1-1-1111-1-111-1-11-111-1-11-1i−ii−ii−ii−i1111-1-1-1-11-1-1111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-11-1i−ii−ii−ii−i11-1-1i−ii−ii−ii−i11-1-11-1i−ii−ii−ii−i1-1
χ181-1-111111-111-1-1-1-11-1-111-1-1111-1-1-1-1111-1-111-1-11-111-1-11-1i−ii−i−ii−ii1111-1-1-1-11-1-1111-1-111-1-1-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii11-1-1-11i−ii−i−ii−ii-1-111i−ii−i−ii−ii-1-111-11i−ii−i−ii−ii-11
χ191-1-111111-111-1-1-1-11-1-111-1-1111-1-1-1-1111-1-111-1-11-111-1-11-1−ii−iii−ii−i1111-1-1-1-11-1-1111-1-111-1-1-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i11-1-1-11−ii−iii−ii−i-1-111−ii−iii−ii−i-1-111-11−ii−iii−ii−i-11
χ201-1-111111-111-1-1-1-11-1-111-1-1111-1-1-1-1111-1-111-1-11-111-1-11-1−ii−ii−ii−ii1111-1-1-1-11-1-1111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-11-1−ii−ii−ii−ii11-1-1−ii−ii−ii−ii11-1-11-1−ii−ii−ii−ii1-1
χ211-1-111111-111-1-1-1-11-1-1-1-111111-1-1-1-1111-1-111-1-11-111-1-1-11i−ii−ii−ii−i-1-1-1-111111-1-1111-1-111-1-111-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i-1-1111-1−ii−ii−ii−ii11-1-1i−ii−ii−ii−i-1-1111-1−ii−ii−ii−ii-11
χ221-1-111111-111-1-1-1-11-1-1-1-111111-1-1-1-1111-1-111-1-11-111-1-1-11i−ii−i−ii−ii-1-1-1-111111-1-1111-1-111-1-1-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-111-11−ii−iii−ii−i-1-111i−ii−i−ii−ii11-1-1-11−ii−iii−ii−i1-1
χ231-1-111111-111-1-1-1-11-1-1-1-111111-1-1-1-1111-1-111-1-11-111-1-1-11−ii−iii−ii−i-1-1-1-111111-1-1111-1-111-1-1-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-111-11i−ii−i−ii−ii-1-111−ii−iii−ii−i11-1-1-11i−ii−i−ii−ii1-1
χ241-1-111111-111-1-1-1-11-1-1-1-111111-1-1-1-1111-1-111-1-11-111-1-1-11−ii−ii−ii−ii-1-1-1-111111-1-1111-1-111-1-111-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iii-1-1111-1i−ii−ii−ii−i11-1-1−ii−ii−ii−ii-1-1111-1i−ii−ii−ii−i-11
χ251-1-11111-1111-1-1-1-11-1-111-1-1111-1-1-1-1111-1-1-1-111-11-1-111-11i−i−iii−i−ii1111-1-1-1-11-1-11-1-111-1-11111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1-11i−i−iii−i−ii11-1-1i−i−iii−i−ii11-1-1-11i−i−iii−i−ii-11
χ261-1-11111-1111-1-1-1-11-1-111-1-1111-1-1-1-1111-1-1-1-111-11-1-111-11i−i−ii−iii−i1111-1-1-1-11-1-11-1-111-1-111-1-111-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-11-1i−i−ii−iii−i-1-111i−i−ii−iii−i-1-1111-1i−i−ii−iii−i1-1
χ271-1-11111-1111-1-1-1-11-1-111-1-1111-1-1-1-1111-1-1-1-111-11-1-111-11−iii−ii−i−ii1111-1-1-1-11-1-11-1-111-1-111-1-111-1-111-1-111−i−iiiii−i−iii−i−i−i−iii11-1-11-1−iii−ii−i−ii-1-111−iii−ii−i−ii-1-1111-1−iii−ii−i−ii1-1
χ281-1-11111-1111-1-1-1-11-1-111-1-1111-1-1-1-1111-1-1-1-111-11-1-111-11−iii−i−iii−i1111-1-1-1-11-1-11-1-111-1-11111-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1-11−iii−i−iii−i11-1-1−iii−i−iii−i11-1-1-11−iii−i−iii−i-11
χ291-1-11111-1111-1-1-1-11-1-1-1-111111-1-1-1-1111-1-1-1-111-11-1-1111-1i−i−iii−i−ii-1-1-1-111111-1-11-1-111-1-11111-1-111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111-11−iii−i−iii−i11-1-1i−i−iii−i−ii-1-111-11−iii−i−iii−i1-1
χ301-1-11111-1111-1-1-1-11-1-1-1-111111-1-1-1-1111-1-1-1-111-11-1-1111-1i−i−ii−iii−i-1-1-1-111111-1-11-1-111-1-111-1-11111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1111-1−iii−ii−i−ii-1-111i−i−ii−iii−i11-1-11-1−iii−ii−i−ii-11
χ311-1-11111-1111-1-1-1-11-1-1-1-111111-1-1-1-1111-1-1-1-111-11-1-1111-1−iii−ii−i−ii-1-1-1-111111-1-11-1-111-1-111-1-11111-1-111-1-1−i−iiiii−i−iii−i−i−i−iii-1-1111-1i−i−ii−iii−i-1-111−iii−ii−i−ii11-1-11-1i−i−ii−iii−i-11
χ321-1-11111-1111-1-1-1-11-1-1-1-111111-1-1-1-1111-1-1-1-111-11-1-1111-1−iii−i−iii−i-1-1-1-111111-1-11-1-111-1-11111-1-111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111-11i−i−iii−i−ii11-1-1−iii−i−iii−i-1-111-11i−i−iii−i−ii1-1
χ33222222-1222222-1-1-1220000-1-12-1-122-1-12-1-12222-1-12222002222222200000000-1-1-1-1-1-1-1-1-1-1-1-12222000000002-12-12-12-12-12-12-12-100002200000000-1-1-1-1-1-1-1-1-1-1-1-10000-1-10000000000
χ34222222-1222222-1-1-1220000-1-12-1-122-1-12-1-12222-1-12222002222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000002-12-12-12-1-21-21-21-210000-2-2000000001111-1-1-1-111110000110000000000
χ35222222-1222222-1-1-1220000-1-12-1-122-1-12-1-12222-1-1222200-2-2-2-2222200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-21-21-21-212-12-12-12-10000-2-20000000011111111-1-1-1-10000110000000000
χ36222222-1222222-1-1-1220000-1-12-1-122-1-12-1-12222-1-1222200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1222200000000-21-21-21-21-21-21-21-2100002200000000-1-1-1-1111111110000-1-10000000000
χ37222222-1-2-22222-1-1-1220000-1-12-1-122-1-12-1-1-2-2-2-211-2-2-2-20022-2-222-2-200000000-1-1-1-1111111112222000000002-12-1-21-212-12-1-21-210000-2-200000000-1-1-1-1-1-111-1-1110000110000000000
χ38222222-1-2-22222-1-1-1220000-1-12-1-122-1-12-1-1-2-2-2-211-2-2-2-20022-2-2-2-22200000000-1-1-1-111111111-2-2-2-2000000002-12-1-21-21-21-212-12-1000022000000001111-1-11111-1-10000-1-10000000000
χ39222222-1-2-22222-1-1-1220000-1-12-1-122-1-12-1-1-2-2-2-211-2-2-2-200-2-22222-2-200000000-1-1-1-111111111-2-2-2-200000000-21-212-12-12-12-1-21-2100002200000000111111-1-1-1-1110000-1-10000000000
χ40222222-1-2-22222-1-1-1220000-1-12-1-122-1-12-1-1-2-2-2-211-2-2-2-200-2-222-2-22200000000-1-1-1-111111111222200000000-21-212-12-1-21-212-12-10000-2-200000000-1-1-1-111-1-111-1-10000110000000000
χ4122222-12222-12-12222-122222-1-12-1-1-12-1-12-12-12-122-1-1-1-1220000222222-1-122-1-1-1-1-1-12-12-1-1-1-1-100002-12-1-1-1-1-100000000-12-12-12-12-1-1-1-1000000222200000000-1-1-1-10000000000-1-1-1-100
χ4222222-12222-12-12222-122222-1-12-1-1-12-1-12-12-12-122-1-1-1-1220000-2-2-2-222-1-122-1-1-1-1-1-12-12-1-1-1-1-100002-12-1-1-1-1-1000000001-21-21-21-2-1-1-1-1000000-2-2-2-20000000011110000000000111100
χ4322222-12222-12-12222-1-2-2-2-22-1-12-1-1-12-1-12-12-12-122-1-1-1-1-2-200002222-2-211-2-211-1-1-1-12-12-1-1-1-1-10000-21-21111100000000-12-12-12-121111000000-2-2-2-200000000-1-1-1-10000000000111100
χ4422222-12222-12-12222-1-2-2-2-22-1-12-1-1-12-1-12-12-12-122-1-1-1-1-2-20000-2-2-2-2-2-211-2-211-1-1-1-12-12-1-1-1-1-10000-21-211111000000001-21-21-21-2111100000022220000000011110000000000-1-1-1-100
χ4522222-12-2-22-12-12222-122222-1-12-1-1-12-1-12-1-21-21-2-21111-2-2000022-2-222-1-122-1-1-1-1-1-1-21-2111110000-21-21111100000000-12-121-21-2-1-1-1-100000022-2-200000000-1-1110000000000-1-11100
χ4622222-12-2-22-12-12222-122222-1-12-1-1-12-1-12-1-21-21-2-21111-2-20000-2-22222-1-122-1-1-1-1-1-1-21-2111110000-21-211111000000001-21-2-12-12-1-1-1-1000000-2-2220000000011-1-1000000000011-1-100
χ4722222-12-2-22-12-12222-1-2-2-2-22-1-12-1-1-12-1-12-1-21-21-2-2111122000022-2-2-2-211-2-211-1-1-1-1-21-21111100002-12-1-1-1-1-100000000-12-121-21-21111000000-2-22200000000-1-111000000000011-1-100
χ4822222-12-2-22-12-12222-1-2-2-2-22-1-12-1-1-12-1-12-1-21-21-2-21111220000-2-222-2-211-2-211-1-1-1-1-21-21111100002-12-1-1-1-1-1000000001-21-2-12-12111100000022-2-20000000011-1-10000000000-1-11100
χ492222-12222-12-12222-122222-12-1-12-1-1-12-1-12-12-1222-1-1-1-12222220000-1-122-1-122-1-1-1-1-12-12-1-1-1-10000-12-12-1-1-1-1-12-12-12-1200000000-1-1-1-100222200000000-1-1-1-10000000000-1-1-1-1000000
χ502222-12222-12-12222-122222-12-1-12-1-1-12-1-12-12-1222-1-1-1-122-2-2-2-20000-1-122-1-122-1-1-1-1-12-12-1-1-1-10000-12-12-1-1-1-11-21-21-21-200000000-1-1-1-100-2-2-2-200000000111100000000001111000000
χ512222-12222-12-12222-12-2-2-2-2-12-1-12-1-1-12-1-12-12-1222-1-1-1-1-2-22222000011-2-211-2-2-1-1-1-1-12-12-1-1-1-100001-21-21111-12-12-12-1200000000111100-2-2-2-200000000-1-1-1-100000000001111000000
χ522222-12222-12-12222-12-2-2-2-2-12-1-12-1-1-12-1-12-12-1222-1-1-1-1-2-2-2-2-2-2000011-2-211-2-2-1-1-1-1-12-12-1-1-1-100001-21-211111-21-21-21-20000000011110022220000000011110000000000-1-1-1-1000000
χ532222-122-2-2-12-12222-122222-12-1-12-1-1-12-1-121-21-2-2-21111-2-222-2-20000-1-122-1-122-1-1-1-11-21-2111100001-21-21111-12-121-21-200000000-1-1-1-10022-2-200000000-1-1110000000000-1-111000000
χ542222-122-2-2-12-12222-122222-12-1-12-1-1-12-1-121-21-2-2-21111-2-2-2-2220000-1-122-1-122-1-1-1-11-21-2111100001-21-211111-21-2-12-1200000000-1-1-1-100-2-2220000000011-1-1000000000011-1-1000000
χ552222-122-2-2-12-12222-12-2-2-2-2-12-1-12-1-1-12-1-121-21-2-2-211112222-2-2000011-2-211-2-2-1-1-1-11-21-211110000-12-12-1-1-1-1-12-121-21-200000000111100-2-22200000000-1-111000000000011-1-1000000
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χ1304-4-44-2-244-4-2-222-4-4422-4-444-2-2122-1-1-2-2122-2-2224-411-1-1-44000000002222-2-2-2-21-1-11-2-22211-1-1000022-2-2-1-1110000000000000000-1-11100000000000000000000000000000000000000
χ1314-4-44-2-24-44-2-222-4-442244-4-4-2-2122-1-1-2-212222-2-2-44-1-111-4400000000-2-2-2-222221-1-1122-2-2-1-111000022-2-2-1-111000000000000000011-1-100000000000000000000000000000000000000
χ1324-4-44-2-24-44-2-222-4-4422-4-444-2-2122-1-1-2-212222-2-2-44-1-1114-4000000002222-2-2-2-21-1-1122-2-2-1-1110000-2-22211-1-10000000000000000-1-11100000000000000000000000000000000000000
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
χ13588-8-88-4-400-8484-444-8-40000-42-442-444-24-4-2000000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-48-4004-8-4-8-4444800002-4-4-2-4-44-24424000000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13788-8-8-4-4-40044-44-4444-40000222-222-2-2-2-22-20000006i−6i6i−6i000000000000000000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-4-4-40044-44-4444-40000222-222-2-2-2-22-2000000−6i6i−6i6i000000000000000000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-88-4-400-84-8-44-44840000-42-4-4-24-44-244200000000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8-48-4004-8484-44-4-800002-4-4244-4-244-2-400000000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4-4-400444-44-44-4400002222-2-22-2-2-2-220000006i−6i−6i6i000000000000000000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-4-4-400444-44-44-4400002222-2-22-2-2-2-22000000−6i6i6i−6i000000000000000000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-4-48-8-4-44444-4440000222-2-2-2-2222-2-2-4-444-4422-2-2000000000000000000-111-122-2-2-1-1110000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-4-88-4-44444-4440000222-2-2-2-2222-2-244-4-44-4-2-222000000000000000000-111-1-2-22211-1-10000000000000000000000000000000000000000000000000000000000000000000000

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