Finite Group Databasebeta

← Group #11805674

Character table — Group #11805674

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444466666666888888888888888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242424243636
order122222223344446666666666666634444666666612121212121212122222444412121212121212121212121212121212121212124444444444446666121212121212121212121212444444444444121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ511111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-1-1-1
χ171-1-111-11-11111-1-1-1-111-1-11-1-1111-1-11i−ii−i11-1-1-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1-1i−ii−i1-1i−ii−i11-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i1-1
χ181-1-111-11-11111-1-1-1-111-1-11-1-1111-1-11i−ii−i11-1-1-11-111-1-111-1-111-1-1-1-111ii−i−iii−i−i11-1-1ii−i−iii−i−i-11i−ii−i1-1−ii−ii11-1-1-1-111-1-11111-1-1-1-111−i−iii−i−iiii−ii−i−ii−ii-11
χ191-1-111-11-11111-1-1-1-111-1-11-1-1111-1-11i−ii−i11-1-1-11-111-1-111-1-1-1-11111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1-1−ii−ii-11i−ii−i-1-11111-1-111-1-1-1-111-1-111−i−iii−i−iii−ii−iii−ii−i-11
χ201-1-111-11-11111-1-1-1-111-1-11-1-1111-1-11i−ii−i11-1-1-11-111-1-111-1-1-1-111-1-111ii−i−iii−i−i11-1-1ii−i−iii−i−i-11−ii−ii-11−ii−ii-1-111-1-111-1-111-1-11111-1-1ii−i−iii−i−i−ii−ii−ii−ii1-1
χ211-1-111-11-11111-1-1-1-111-1-11-1-1111-1-11−ii−ii11-1-1-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii1-1−ii−ii1-1−ii−ii11-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii1-1
χ221-1-111-11-11111-1-1-1-111-1-11-1-1111-1-11−ii−ii11-1-1-11-111-1-111-1-111-1-1-1-111−i−iii−i−iii11-1-1−i−iii−i−iii-11−ii−ii1-1i−ii−i11-1-1-1-111-1-11111-1-1-1-111ii−i−iii−i−i−ii−iii−ii−i-11
χ231-1-111-11-11111-1-1-1-111-1-11-1-1111-1-11−ii−ii11-1-1-11-111-1-111-1-1-1-11111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii1-1i−ii−i-11−ii−ii-1-11111-1-111-1-1-1-111-1-111ii−i−iii−i−ii−ii−i−ii−ii-11
χ241-1-111-11-11111-1-1-1-111-1-11-1-1111-1-11−ii−ii11-1-1-11-111-1-111-1-1-1-111-1-111−i−iii−i−iii11-1-1−i−iii−i−iii-11i−ii−i-11i−ii−i-1-111-1-111-1-111-1-11111-1-1−i−iii−i−iiii−ii−ii−ii−i1-1
χ251-1-111-11-111-1-111-1-111-1-11-1-1111-1-11i−i−ii11-1-1-11-1-1-111-1-11111-1-111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii-11i−i−ii-11i−i−ii11-1-111-1-1-1-111-1-11111-1-1ii−i−i−i−iiii−i−iii−i−ii-11
χ261-1-111-11-111-1-111-1-111-1-11-1-1111-1-11i−i−ii11-1-1-11-1-1-111-1-11111-1-1-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii1-1i−i−ii-11−iii−i11-1-1-1-11111-1-1-1-111-1-111−i−iiiii−i−ii−i−ii−iii−i1-1
χ271-1-111-11-111-1-111-1-111-1-11-1-1111-1-11i−i−ii11-1-1-11-1-1-111-1-111-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii-11−iii−i1-1i−i−ii-1-11111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−iii−ii−i−ii1-1
χ281-1-111-11-111-1-111-1-111-1-11-1-1111-1-11i−i−ii11-1-1-11-1-1-111-1-111-1-111-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii1-1−iii−i1-1−iii−i-1-111-1-11111-1-111-1-111-1-1ii−i−i−i−iii−iii−i−iii−i-11
χ291-1-111-11-111-1-111-1-111-1-11-1-1111-1-11−iii−i11-1-1-11-1-1-111-1-11111-1-111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i-11−iii−i-11−iii−i11-1-111-1-1-1-111-1-11111-1-1−i−iiiii−i−i−iii−i−iii−i-11
χ301-1-111-11-111-1-111-1-111-1-11-1-1111-1-11−iii−i11-1-1-11-1-1-111-1-11111-1-1-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i1-1−iii−i-11i−i−ii11-1-1-1-11111-1-1-1-111-1-111ii−i−i−i−iii−iii−ii−i−ii1-1
χ311-1-111-11-111-1-111-1-111-1-11-1-1111-1-11−iii−i11-1-1-11-1-1-111-1-111-1-11111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i-11i−i−ii1-1−iii−i-1-11111-1-1-1-11111-1-1-1-111ii−i−i−i−iiii−i−ii−iii−i1-1
χ321-1-111-11-111-1-111-1-111-1-11-1-1111-1-11−iii−i11-1-1-11-1-1-111-1-111-1-111-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i1-1i−i−ii1-1i−i−ii-1-111-1-11111-1-111-1-111-1-1−i−iiiii−i−ii−i−iii−i−ii-11
χ33222222222-1222222-1-1-1-122-122-12-1-12222-1-1-1-1-1-1-12222-1-1-1-1222200002-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1002222220000-1-1-1-100000000-1-1-1-1000000000000-1-1-1-1000000
χ34222222222-1222222-1-1-1-122-122-12-1-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-200002-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2000011110000000011110000000000001111000000
χ35222222222-1222222-1-1-1-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-122220000-21-21-21-21-1-1-1-11111111100-2-2-2-2220000-1-1-1-100000000-1-1-1-10000000000001111000000
χ36222222222-1222222-1-1-1-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000-21-21-21-21-1-1-1-111111111002222-2-200001111000000001111000000000000-1-1-1-1000000
χ37222222222-1-2-2-2-222-1-1-1-122-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111222200002-12-1-21-211111-1-1-1-111110022-2-2-2-20000-1-1-1-1000000001111000000000000-1-111000000
χ38222222222-1-2-2-2-222-1-1-1-122-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-200002-12-1-21-211111-1-1-1-1111100-2-222220000111100000000-1-1-1-100000000000011-1-1000000
χ39222222222-1-2-2-2-222-1-1-1-122-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2111122220000-21-212-12-111111111-1-1-1-100-2-222-2-20000-1-1-1-100000000111100000000000011-1-1000000
χ40222222222-1-2-2-2-222-1-1-1-122-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-20000-21-212-12-111111111-1-1-1-10022-2-2220000111100000000-1-1-1-1000000000000-1-111000000
χ4122222222-122222-1-12222-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-1222200002222-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-12200000022220000-1-1-1-1-1-1-1-100000000000000000000-1-1-1-100
χ4222222222-122222-1-12222-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-2-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2-2-200001111111100000000000000000000111100
χ4322222222-122222-1-12222-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-12222000022221-21-21-21-2-1-1-1-11111111122000000-2-2-2-20000-1-1-1-1-1-1-1-100000000000000000000111100
χ4422222222-122222-1-12222-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-21-21-21-21-2-1-1-1-111111111-2-2000000222200001111111100000000000000000000-1-1-1-100
χ4522222222-12-2-2-2-2-1-12222-1-12-1-12-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-200002222-12-121-21-21111-1-1-1-11111-2-200000022-2-20000-1-1-1-1111100000000000000000000-1-11100
χ4622222222-12-2-2-2-2-1-12222-1-12-1-12-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-2-12-121-21-21111-1-1-1-1111122000000-2-22200001111-1-1-1-10000000000000000000011-1-100
χ4722222222-12-2-2-2-2-1-12222-1-12-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2000022221-21-2-12-1211111111-1-1-1-1-2-2000000-2-2220000-1-1-1-111110000000000000000000011-1-100
χ4822222222-12-2-2-2-2-1-12222-1-12-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-21-21-2-12-1211111111-1-1-1-12200000022-2-200001111-1-1-1-100000000000000000000-1-11100
χ4922-22-2-2-222200002-22-222-2-2-22-2-22-2200002-222-2-2-2000000002-22-22i−2i2i−2i000000000000000000000000000000002-22-22i−2i2i−2i000000002i−2i2i−2i000000000000000000
χ5022-22-2-2-222200002-22-222-2-2-22-2-22-2200002-222-2-2-2000000002-22-2−2i2i−2i2i000000000000000000000000000000002-22-2−2i2i−2i2i00000000−2i2i−2i2i000000000000000000
χ5122-22-2-2-222200002-22-222-2-2-22-2-22-2200002-222-2-2-200000000-22-222i−2i2i−2i00000000000000000000000000000000-22-222i−2i2i−2i00000000−2i2i−2i2i000000000000000000
χ5222-22-2-2-222200002-22-222-2-2-22-2-22-2200002-222-2-2-200000000-22-22−2i2i−2i2i00000000000000000000000000000000-22-22−2i2i−2i2i000000002i−2i2i−2i000000000000000000
χ5322-2-2-222-2222-22-222-2-22-22-2-2-2-22-2220000-2-22-222-22-22-22-22-200000000000000002-22-200000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000
χ5422-2-2-222-2222-22-222-2-22-22-2-2-2-22-2220000-2-22-222-22-22-22-22-200000000000000002-22-20000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000
χ5522-2-2-222-222-22-2222-2-22-22-2-2-2-22-2220000-2-22-222-2-22-22-22-220000000000000000-22-2200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000
χ5622-2-2-222-222-22-2222-2-22-22-2-2-2-22-2220000-2-22-222-2-22-22-22-220000000000000000-22-220000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000
χ572-222-22-2-2220000-222-2-2-2-2222-2-2-22200002-2-2-22-22000000002-2-222i−2i−2i2i000000000000000000000000000000002-2-222i−2i−2i2i000000002i−2i−2i2i000000000000000000
χ582-222-22-2-2220000-222-2-2-2-2222-2-2-22200002-2-2-22-22000000002-2-22−2i2i2i−2i000000000000000000000000000000002-2-22−2i2i2i−2i00000000−2i2i2i−2i000000000000000000
χ592-222-22-2-2220000-222-2-2-2-2222-2-2-22200002-2-2-22-2200000000-222-22i−2i−2i2i00000000000000000000000000000000-222-22i−2i−2i2i00000000−2i2i2i−2i000000000000000000
χ602-222-22-2-2220000-222-2-2-2-2222-2-2-22200002-2-2-22-2200000000-222-2−2i2i2i−2i00000000000000000000000000000000-222-2−2i2i2i−2i000000002i−2i−2i2i000000000000000000
χ612-22-2-2-222222-2-22-2-2-2-2-22222-2-222-220000-2-2-22-2222-2-222-2-2200000000000000002-2-2200000000000000000000000000000000000000002-2-222-2-220000000000
χ622-22-2-2-222222-2-22-2-2-2-2-22222-2-222-220000-2-2-22-2222-2-222-2-2200000000000000002-2-220000000000000000000000000000000000000000-222-2-222-20000000000
χ632-22-2-2-22222-222-2-2-2-2-2-22222-2-222-220000-2-2-22-222-222-2-222-20000000000000000-222-200000000000000000000000000000000000000002-2-22-222-20000000000
χ642-22-2-2-22222-222-2-2-2-2-2-22222-2-222-220000-2-2-22-222-222-2-222-20000000000000000-222-20000000000000000000000000000000000000000-222-22-2-220000000000
χ652-2-222-22-22-122-2-2-2-2-1-1112-2122-1-21-12i−2i2i−2i-1-1111-1122-2-2-1-11122-2-200002i−i−2ii2i−i−2ii-1-111−i−iii−i−iii002i−2i2i−2i2-20000-1-11100000000-1-111000000000000−ii−ii000000
χ662-2-222-22-22-122-2-2-2-2-1-1112-2122-1-21-12i−2i2i−2i-1-1111-1122-2-2-1-111-2-22200002i−i−2ii2i−i−2ii-1-111−i−iii−i−iii00−2i2i−2i2i-22000011-1-10000000011-1-1000000000000i−ii−i000000
χ672-2-222-22-22-122-2-2-2-2-1-1112-2122-1-21-1−2i2i−2i2i-1-1111-1122-2-2-1-11122-2-20000−2ii2i−i−2ii2i−i-1-111ii−i−iii−i−i00−2i2i−2i2i2-20000-1-11100000000-1-111000000000000i−ii−i000000
χ682-2-222-22-22-122-2-2-2-2-1-1112-2122-1-21-1−2i2i−2i2i-1-1111-1122-2-2-1-111-2-2220000−2ii2i−i−2ii2i−i-1-111ii−i−iii−i−i002i−2i2i−2i-22000011-1-10000000011-1-1000000000000−ii−ii000000
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χ702-2-222-22-22-1-2-222-2-2-1-1112-2122-1-21-12i−2i−2i2i-1-1111-11-2-22211-1-1-2-22200002i−i−2ii−2ii2i−i11-1-1−i−iiiii−i−i00−2i2i2i−2i2-2000011-1-100000000-1-111000000000000i−i−ii000000
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χ782-2-222-22-2-12-2-2221122-2-2-11-2-1-121-2-12i−2i−2i2i-1-1111-1111-1-1-2-2220000-2-222−i2ii−2ii−2i−i2i11-1-1−i−iiiii−i−i2-2000000−2i2i2i−2i000011-1-1-1-11100000000000000000000i−i−ii00
χ792-2-222-22-2-12-2-2221122-2-2-11-2-1-121-2-1−2i2i2i−2i-1-1111-1111-1-1-2-222000022-2-2i−2i−i2i−i2ii−2i11-1-1ii−i−i−i−iii-22000000−2i2i2i−2i0000-1-11111-1-100000000000000000000i−i−ii00
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χ1114-44-4-4-444-2-24-4-4422222-2-2-2-222-2-2210000-1-1-11-111-222-2-222-200000000000000001-1-11-333-3-333-300000000000000000000000000000000000000000000000000
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χ1144-4-444-44-4-2-244-4-422-2-222-222-2-2-22214i−4i4i−4i11-1-1-11-1-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i11-1-1ii−i−iii−i−i00000000000000000000000000000000000000000000000000
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χ1164-4-444-44-4-2-2-4-44422-2-222-222-2-2-22214i−4i−4i4i11-1-1-11-122-2-222-2-200000000−2i−2i2i2i2i2i−2i−2i-1-111ii−i−i−i−iii00000000000000000000000000000000000000000000000000
χ1174-4-444-44-4-2-2-4-44422-2-222-222-2-2-2221−4i4i4i−4i11-1-1-11-122-2-222-2-2000000002i2i−2i−2i−2i−2i2i2i-1-111−i−iiiii−i−i00000000000000000000000000000000000000000000000000
χ1184-4-4-444-44440000-44-44-44-4-4-4-44-44440000-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1258-888-88-8-8-4-400004-4-44444-4-4-4444-4200002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-888-88-4-400004-44-44-44444-44-4-420000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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