Finite Group Databasebeta

← Group #11790617

Character table — Group #11790617

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222222233444466666666666666366666661212121212121212444444448888888844121212121212121212121212121212121212121212121212121212122424242424242424888888884444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91-1-1-111-111111-1-111-1-1-1-1-1-11-1111-1111-1-1-11-111-1-111-1-11111-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−i1-111-1-1ii−i−i1-1
χ101-1-1-111-111111-1-111-1-1-1-1-1-11-1111-1111-1-1-11-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii-11-1-111−i−iii-11
χ111-1-1-111-111111-1-111-1-1-1-1-1-11-1111-1111-1-1-11-111-1-111-1-11111-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−i-11-1-111ii−i−i-11
χ121-1-1-111-111111-1-111-1-1-1-1-1-11-1111-1111-1-1-11-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii1-111-1-1−i−iii1-1
χ131-1-1-111-111111-1-111-1-1-1-1-1-11-1111-1111-1-1-11-111-1-111-1-1-1-1-1-11111iiii−i−i−i−ii−iii−i−iii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−ii1-111-1-1−i−iii-11
χ141-1-1-111-111111-1-111-1-1-1-1-1-11-1111-1111-1-1-11-111-1-111-1-1-1-1-1-11111iiii−i−i−i−i−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i-11-1-111ii−i−i1-1
χ151-1-1-111-111111-1-111-1-1-1-1-1-11-1111-1111-1-1-11-111-1-111-1-1-1-1-1-11111−i−i−i−iiiiii−iii−i−iii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−ii-11-1-111−i−iii1-1
χ161-1-1-111-111111-1-111-1-1-1-1-1-11-1111-1111-1-1-11-111-1-111-1-1-1-1-1-11111−i−i−i−iiiii−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i1-111-1-1ii−i−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000-2-2-2-20000000022-2-222-2-2000000000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000-2-2-2-200000000-2-222-2-222000000000000000000000000000000
χ19222222222-1222222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-122222222222200000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022000000-1-1-1-100
χ20222222222-1222222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-122222222222200000000-2-2-2-2-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2000000111100
χ21222222222-1222222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2000000111100
χ22222222222-1222222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-21111-1-1-1-11111111111111111000000000000000022000000-1-1-1-100
χ23222222222-1-2-2-2-222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-11111-2-2-2-222-2-222-2-200000000000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-1-111-1-111000000000000000000000000−i3i3−i3i300
χ24222222222-1-2-2-2-222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-11111-2-2-2-222-2-222-2-200000000000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-1-111-1-111000000000000000000000000i3−i3i3−i300
χ25222222222-1-2-2-2-222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-222-2-22200000000000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i311-1-111-1-1000000000000000000000000i3−i3i3−i300
χ26222222222-1-2-2-2-222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-222-2-22200000000000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i311-1-111-1-1000000000000000000000000−i3i3−i3i300
χ2722222222-122222-1-1-1-1-12222-122-12-1-1-1-1-1-1-1-12222-1-1-1-1000000002222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000000022-1-1-1-1000000
χ2822222222-122222-1-1-1-1-12222-122-12-1-1-1-1-1-1-1-12222-1-1-1-10000000022222222-2-21111-2-2-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-21111000000
χ2922222222-122222-1-1-1-1-12222-122-12-1-1-1-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-21111000000
χ3022222222-122222-1-1-1-1-12222-122-12-1-1-1-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-1-1-1-1111111110000000011111111000000000022-1-1-1-1000000
χ31222-22-2-2-22200002-222-222-2-2-22-2-2-222-222-2-2-200000000002-2002-222−2−222−2−20000000000000000000000002-2002-222−2−222−2−222−2−222−2−200000000000000
χ32222-22-2-2-22200002-222-222-2-2-22-2-2-222-222-2-2-200000000002-2002-2−2−222−2−2220000000000000000000000002-2002-2−2−222−2−222−2−222−2−22200000000000000
χ33222-22-2-2-22200002-222-222-2-2-22-2-2-222-222-2-2-20000000000-2200-2222−2−222−2−2000000000000000000000000-2200-2222−2−222−2−2−2−222−2−22200000000000000
χ34222-22-2-2-22200002-222-222-2-2-22-2-2-222-222-2-2-20000000000-2200-22−2−222−2−222000000000000000000000000-2200-22−2−222−2−22222−2−222−2−200000000000000
χ3522-22-22-2-2220000-222-222-22-2-2-22-2-22-222-22-2-2000000002-2002-2002−22−22−22−200000000000000000000002-2002-2002−22−22−22−22−22−22−22−200000000000000
χ3622-22-22-2-2220000-222-222-22-2-2-22-2-22-222-22-2-2000000002-2002-200−22−22−22−2200000000000000000000002-2002-200−22−22−22−22−22−22−22−2200000000000000
χ3722-22-22-2-2220000-222-222-22-2-2-22-2-22-222-22-2-200000000-2200-22002−22−22−22−20000000000000000000000-2200-22002−22−22−22−2−22−22−22−2200000000000000
χ3822-22-22-2-2220000-222-222-22-2-2-22-2-22-222-22-2-200000000-2200-2200−22−22−22−220000000000000000000000-2200-2200−22−22−22−222−22−22−22−200000000000000
χ3922-2-2-2-222222-22-2-2-22-2-22-2-222-2-2222-2-22-2-2222-22-22-2-22000000002-2-222-2-2200000000002-22-200000000000000002-2-222-2-220000000000000000000000
χ4022-2-2-2-222222-22-2-2-22-2-22-2-222-2-2222-2-22-2-2222-22-22-2-2200000000-222-2-222-200000000002-22-20000000000000000-222-2-222-20000000000000000000000
χ4122-2-2-2-22222-22-22-2-22-2-22-2-222-2-2222-2-22-2-222-22-22-222-200000000000000000000000000-22-220000000000000000000000002-2-222-2-2200000000000000
χ4222-2-2-2-22222-22-22-2-22-2-22-2-222-2-2222-2-22-2-222-22-22-222-200000000000000000000000000-22-22000000000000000000000000-222-2-222-200000000000000
χ4322-2-2-2-222-122-22-211-1112-2-22-1-2-2-12-111-111-1-12-22-2-111-1000000002-2-222-2-2200−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i300000000-111-1-111-1000000000000−i3i3−i3i3000000
χ4422-2-2-2-222-122-22-211-1112-2-22-1-2-2-12-111-111-1-12-22-2-111-1000000002-2-222-2-2200i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i300000000-111-1-111-1000000000000i3−i3i3−i3000000
χ4522-2-2-2-222-122-22-211-1112-2-22-1-2-2-12-111-111-1-12-22-2-111-100000000-222-2-222-200−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i3000000001-1-111-1-11000000000000i3−i3i3−i3000000
χ4622-2-2-2-222-122-22-211-1112-2-22-1-2-2-12-111-111-1-12-22-2-111-100000000-222-2-222-200i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i3000000001-1-111-1-11000000000000−i3i3−i3i3000000
χ472-222-2-2-22222-2-22-2-2-222-2222-2-2-22-22-2-2-2222-22-2-222-22-2000000002i−2i−2i2i−2i2i2i−2i00000000002-2-2200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ482-222-2-2-22222-2-22-2-2-222-2222-2-2-22-22-2-2-2222-22-2-222-22-200000000−2i2i2i−2i2i−2i−2i2i00000000002-2-220000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ492-222-2-2-2222-222-2-2-2-222-2222-2-2-22-22-2-2-2222-2-222-2-22-2200000000000000000000000000-222-20000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ502-222-2-2-2222-222-2-2-2-222-2222-2-2-22-22-2-2-2222-2-222-2-22-2200000000000000000000000000-222-2000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ512-222-2-2-22-122-2-22111-1-1-22221-2-2-1-2-1111-1-1-112-2-22-11-11000000002i−2i−2i2i−2i2i2i−2i003−3−330000-111-13−33−3−33−3300000000−iii−ii−i−ii000000000000−i3i3i3−i3000000
χ522-222-2-2-22-122-2-22111-1-1-22221-2-2-1-2-1111-1-1-112-2-22-11-11000000002i−2i−2i2i−2i2i2i−2i00−333−30000-111-1−33−333−33−300000000−iii−ii−i−ii000000000000i3−i3−i3i3000000
χ532-222-2-2-22-122-2-22111-1-1-22221-2-2-1-2-1111-1-1-112-2-22-11-1100000000−2i2i2i−2i2i−2i−2i2i003−3−330000-111-13−33−3−33−3300000000i−i−ii−iii−i000000000000i3−i3−i3i3000000
χ542-222-2-2-22-122-2-22111-1-1-22221-2-2-1-2-1111-1-1-112-2-22-11-1100000000−2i2i2i−2i2i−2i−2i2i00−333−30000-111-1−33−333−33−300000000i−i−ii−iii−i000000000000−i3i3i3−i3000000
χ552-22-2-222-2220000-22-22-2-22-2-22-22-222-22-22-2-22000000002-200-2200−i2i2−i2i2i2−i2i2−i200000000000000000000002-200-2200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000
χ562-22-2-222-2220000-22-22-2-22-2-22-22-222-22-22-2-22000000002-200-2200i2−i2i2−i2−i2i2−i2i200000000000000000000002-200-2200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000
χ572-22-2-222-2220000-22-22-2-22-2-22-22-222-22-22-2-2200000000-22002-200−i2i2−i2i2i2−i2i2−i20000000000000000000000-22002-200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000000000
χ582-22-2-222-2220000-22-22-2-22-2-22-22-222-22-22-2-2200000000-22002-200i2−i2i2−i2−i2i2−i2i20000000000000000000000-22002-200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000000
χ592-2-222-22-22200002-2-2-22-2-22-222-2-2222-2-2-22-2200000000002-200-22−i2−i2i2i2i2i2−i2−i20000000000000000000000002-200-22−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000
χ602-2-222-22-22200002-2-2-22-2-22-222-2-2222-2-2-22-2200000000002-200-22i2i2−i2−i2−i2−i2i2i20000000000000000000000002-200-22i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000
χ612-2-222-22-22200002-2-2-22-2-22-222-2-2222-2-2-22-220000000000-22002-2−i2−i2i2i2i2i2−i2−i2000000000000000000000000-22002-2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000
χ622-2-222-22-22200002-2-2-22-2-22-222-2-2222-2-2-22-220000000000-22002-2i2i2−i2−i2−i2−i2i2i2000000000000000000000000-22002-2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000
χ632-2-2-222-2222-2-22222-2-2-2-2-2-22-2222-2222-2-2-22-2-2-222-2-22222-2-2-2-222000000000000000000-2-2220000000022-2-2-2-222000000000000000000000000000000
χ642-2-2-222-2222-2-22222-2-2-2-2-2-22-2222-2222-2-2-22-2-2-222-2-222-2-22222-2-2000000000000000000-2-22200000000-2-22222-2-2000000000000000000000000000000
χ652-2-2-222-222-122-2-222-2-2-2111-1-2-1-121-1-1-1111-11-1-11122-2-22222-2-2-2-2000000002i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii-1-1-1-1111100000000000000002i−2i000000−i−iii00
χ662-2-2-222-222-122-2-222-2-2-2111-1-2-1-121-1-1-1111-11-1-11122-2-22222-2-2-2-200000000−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i-1-1-1-111110000000000000000−2i2i000000ii−i−i00
χ672-2-2-222-222-122-2-222-2-2-2111-1-2-1-121-1-1-1111-11-1-11122-2-2-2-2-2-22222000000002i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii1111-1-1-1-10000000000000000−2i2i000000ii−i−i00
χ682-2-2-222-222-122-2-222-2-2-2111-1-2-1-121-1-1-1111-11-1-11122-2-2-2-2-2-2222200000000−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i1111-1-1-1-100000000000000002i−2i000000−i−iii00
χ692-2-2-222-222-1-2-22222-2-2-2111-1-2-1-121-1-1-1111-1111-1-1-2-22222-2-2-2-222000000000000003−3−3311-1-133−3−3−3−333-1-11111-1-10000000000000000000000003−3−3300
χ702-2-2-222-222-1-2-22222-2-2-2111-1-2-1-121-1-1-1111-1111-1-1-2-22222-2-2-2-22200000000000000−333−311-1-1−3−33333−3−3-1-11111-1-1000000000000000000000000−333−300
χ712-2-2-222-222-1-2-22222-2-2-2111-1-2-1-121-1-1-1111-1111-1-1-2-222-2-22222-2-2000000000000003−3−3311-1-133−3−3−3−33311-1-1-1-111000000000000000000000000−333−300
χ722-2-2-222-222-1-2-22222-2-2-2111-1-2-1-121-1-1-1111-1111-1-1-2-222-2-22222-2-200000000000000−333−311-1-1−3−33333−3−311-1-1-1-1110000000000000000000000003−3−3300
χ732-2-2-222-22-1222-2-2-1-1111-2-2-22122-1-2-1-1-1111-1122-2-2-1-111000000002i2i2i2i−2i−2i−2i−2i2i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii00000000−i−i−i−iiiii00000000002-2-1-111000000
χ742-2-2-222-22-1222-2-2-1-1111-2-2-22122-1-2-1-1-1111-1122-2-2-1-111000000002i2i2i2i−2i−2i−2i−2i−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i00000000−i−i−i−iiiii0000000000-2211-1-1000000
χ752-2-2-222-22-1222-2-2-1-1111-2-2-22122-1-2-1-1-1111-1122-2-2-1-11100000000−2i−2i−2i−2i2i2i2i2i2i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii00000000iiii−i−i−i−i0000000000-2211-1-1000000
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χ1074-44-4-444-4-2400002-22-22-44-4-4-2-4424-22-22-222-200000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000−i2i2−i2i2i2−i2i2−i20000000000000000000000
χ1084-4-444-44-44-200004-4-4-4422-224-22-4-2-2-2222-22-200000000004-400-4400000000000000000000000000000000-22002-2000000000000000000000000000000
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χ1144-4-4-444-44-2-244-4-4-2-2222222-22-2-2-22111-1-1-11-1-2-222-2-2220000000000000000−4i4i2i2i−2i−2i2i2i−2i−2i11-1-1−i−i−i−iiiii00000000000000000000000000000000000000
χ1154-4-4-444-44-2-2-4-444-2-2222222-22-2-2-22111-1-1-11-122-2-222-2-2000000000000000000000023−23−2323-1-111−3−33333−3−300000000000000000000000000000000000000
χ1164-4-4-444-44-2-2-4-444-2-2222222-22-2-2-22111-1-1-11-122-2-222-2-20000000000000000000000−232323−23-1-11133−3−3−3−33300000000000000000000000000000000000000
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χ11888-88-88-8-8-4-400004-4-44-4-44-4444-4442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-888-8-4-400004-44-444-444-44-44-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-888-88-8-4-40000-4444-444-44-4-444-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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