Finite Group Databasebeta

← Group #11785350

Character table — Group #11785350

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222222233444466666666666666366666661212121212121212888888888888888844121212121212121212121212121212121212121224242424242424242424242424242424222244444444121212121212121244
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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
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
χ9111-1-1-11-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-111-1-1i−ii−iii−i−iii−i−ii−i
χ10111-1-1-11-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-111-1-1−ii−ii−i−iii−i−iii−ii
χ11111-1-1-11-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111-1-111i−i−iiii−i−i−i−iii−ii
χ12111-1-1-11-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111-1-111−iii−i−i−iiiii−i−ii−i
χ13111-1-1-11-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111-1-111−iii−i−i−iiiii−i−i−ii
χ14111-1-1-11-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111-1-111i−i−iiii−i−i−i−iiii−i
χ15111-1-1-11-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-111-1-1−ii−ii−i−iii−i−iiii−i
χ16111-1-1-11-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-111-1-1i−ii−iii−i−iii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-20000000000000000000000002222-2-2-2-200000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2000000000000000000000000-2-2-2-2222200000000000000
χ19222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-100000000222222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ20222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-10000000022222222-2-2-2-211-2-211-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ21222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-100000000-2-2-2-2-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ22222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-100000000-2-2-2-2-2-2-2-2-2-2-2-211-2-211-1-1-1-11111111100000000111111110000000000220000-1-1-1-100
χ2322222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-12222222220000000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ2422222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-122222222200000000-2-211-2-211-2-2-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ2522222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-12-2-2-2-2-2-2-2-20000000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ2622222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-12-2-2-2-2-2-2-2-200000000-2-211-2-211-2-2-1-1-1-1111111111111111100000000000000002200-1-1-1-1000000
χ27222-2-2-22-222-222-22222-2-2-2-222-2-2-2-2222-2-2-22-2-2-22222-2-200000000000000000000000000-2-22200000000000000000000000022-2-2-2-22200000000000000
χ28222-2-2-22-222-222-22222-2-2-2-222-2-2-2-2222-2-2-22-2-2-22222-2-200000000000000000000000000-2-222000000000000000000000000-2-22222-2-200000000000000
χ29222-2-2-22-22-12-2-2222-1-1-2-2112-1-21-21-1-1-1111-112-1-2-2112-1000000002222-2-2-2-22i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00000000-1-1-1-1111100000000002i−2i0000−i−iii00
χ30222-2-2-22-22-12-2-2222-1-1-2-2112-1-21-21-1-1-1111-112-1-2-2112-1000000002222-2-2-2-2−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i00000000-1-1-1-111110000000000−2i2i0000ii−i−i00
χ31222-2-2-22-22-12-2-2222-1-1-2-2112-1-21-21-1-1-1111-112-1-2-2112-100000000-2-2-2-222222i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii000000001111-1-1-1-10000000000−2i2i0000ii−i−i00
χ32222-2-2-22-22-12-2-2222-1-1-2-2112-1-21-21-1-1-1111-112-1-2-2112-100000000-2-2-2-22222−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i000000001111-1-1-1-100000000002i−2i0000−i−iii00
χ33222-2-2-22-2-122-2-22-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-122222-2-2-2-2000000002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii-1-1-1-1111100000000000000002i−2i00−i−iii000000
χ34222-2-2-22-2-122-2-22-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-122222-2-2-2-200000000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i-1-1-1-111110000000000000000−2i2i00ii−i−i000000
χ35222-2-2-22-2-122-2-22-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-12-2-2-2-22222000000002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii1111-1-1-1-10000000000000000−2i2i00ii−i−i000000
χ36222-2-2-22-2-122-2-22-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-12-2-2-2-2222200000000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i1111-1-1-1-100000000000000002i−2i00−i−iii000000
χ3722-222-2-2-22200002-22-22-2-2-2-2-222-2222-22-2-2-2200000000−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000000000000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200002i−2i2i−2i00000000000000
χ3822-222-2-2-22200002-22-22-2-2-2-2-222-2222-22-2-2-2200000000−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000−2i2i−2i2i00000000000000
χ3922-222-2-2-22200002-22-22-2-2-2-2-222-2222-22-2-2-2200000000i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−20000−2i2i−2i2i00000000000000
χ4022-222-2-2-22200002-22-22-2-2-2-2-222-2222-22-2-2-2200000000i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000000000000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200002i−2i2i−2i00000000000000
χ4122-2-2-22-222200002-22-2-2222-2-2-2-22-222-2-222-2-200000000−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000000000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200002i−2i−2i2i00000000000000
χ4222-2-2-22-222200002-22-2-2222-2-2-2-22-222-2-222-2-200000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000000000000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000−2i2i2i−2i00000000000000
χ4322-2-2-22-222200002-22-2-2222-2-2-2-22-222-2-222-2-200000000i2i2−i2−i2−i2−i2i2i222−2−2−2−2220000000000000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−2220000−2i2i2i−2i00000000000000
χ4422-2-2-22-222200002-22-2-2222-2-2-2-22-222-2-222-2-200000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−20000000000000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200002i−2i−2i2i00000000000000
χ452-222-2-2-22220000-22-22-222-2-2-222-2-22-22-22-2-2200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-2000000000000000000
χ462-222-2-2-22220000-22-22-222-2-2-222-2-22-22-22-2-2200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-22-22000000000000000000
χ472-222-2-2-22220000-22-22-222-2-2-222-2-22-22-22-2-2200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-22-22000000000000000000
χ482-222-2-2-22220000-22-22-222-2-2-222-2-22-22-22-2-2200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-2000000000000000000
χ492-22-222-2-2220000-22-222-2-22-2-2-2-2222-222-22-2-200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22-2-22000000000000000000
χ502-22-222-2-2220000-22-222-2-22-2-2-2-2222-222-22-2-200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2-222-2000000000000000000
χ512-22-222-2-2220000-22-222-2-22-2-2-2-2222-222-22-2-200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2-222-2000000000000000000
χ522-22-222-2-2220000-22-222-2-22-2-2-2-2222-222-22-2-200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22-2-22000000000000000000
χ532-2-22-222-22222-2-2-2-2-2-2-2-2-2222222-22-2-2-2-2222222-22-2-2-2000000002i−2i−2i2i2i−2i−2i2i00000000002-22-200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ542-2-22-222-22222-2-2-2-2-2-2-2-2-2222222-22-2-2-2-2222222-22-2-2-200000000−2i2i2i−2i−2i2i2i−2i00000000002-22-20000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ552-2-22-222-222-2-222-2-2-2-2-2-2-2222222-22-2-2-2-2222-2-2-22-22222-2-222-2-22000000000000000000-22-22000000002-2-222-2-22000000000000000000000000000000
χ562-2-22-222-222-2-222-2-2-2-2-2-2-2222222-22-2-2-2-2222-2-2-22-2222-222-2-222-2000000000000000000-22-2200000000-222-2-222-2000000000000000000000000000000
χ572-2-22-222-22-122-2-2-2-211-2-21-12-12-121-11111-1-1-12-12-2-11-21000000002i−2i−2i2i2i−2i−2i2i0000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i300000000−iii−i−iii−i00000000000000003−33−300
χ582-2-22-222-22-122-2-2-2-211-2-21-12-12-121-11111-1-1-12-12-2-11-21000000002i−2i−2i2i2i−2i−2i2i0000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i300000000−iii−i−iii−i0000000000000000−33−3300
χ592-2-22-222-22-122-2-2-2-211-2-21-12-12-121-11111-1-1-12-12-2-11-2100000000−2i2i2i−2i−2i2i2i−2i0000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i300000000i−i−iii−i−ii0000000000000000−33−3300
χ602-2-22-222-22-122-2-2-2-211-2-21-12-12-121-11111-1-1-12-12-2-11-2100000000−2i2i2i−2i−2i2i2i−2i0000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i300000000i−i−iii−i−ii00000000000000003−33−300
χ612-2-22-222-2-12-2-22211-2-211-22-12-12-1-2-11111-1-1-11-21-1-22-122-2-222-2-220000000000−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i3-111-1-111-100000000000000000000−i3i3−i3i3000000
χ622-2-22-222-2-12-2-22211-2-211-22-12-12-1-2-11111-1-1-11-21-1-22-122-2-222-2-220000000000i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i3-111-1-111-100000000000000000000i3−i3i3−i3000000
χ632-2-22-222-2-12-2-22211-2-211-22-12-12-1-2-11111-1-1-11-21-1-22-12-222-2-222-20000000000−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i31-1-111-1-1100000000000000000000i3−i3i3−i3000000
χ642-2-22-222-2-12-2-22211-2-211-22-12-12-1-2-11111-1-1-11-21-1-22-12-222-2-222-20000000000i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i31-1-111-1-1100000000000000000000−i3i3−i3i3000000
χ652-2-2-22-222222-22-2-2-2-2-2222-222-2-2-222-2-222-22-222-22-22-2-2000000002i−2i−2i2i−2i2i2i−2i00000000002-2-2200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ662-2-2-22-222222-22-2-2-2-2-2222-222-2-2-222-2-222-22-222-22-22-2-200000000−2i2i2i−2i2i−2i−2i2i00000000002-2-220000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ672-2-2-22-22222-22-22-2-2-2-2222-222-2-2-222-2-222-22-2-2-22-22-2222-2-22-222-2000000000000000000-222-2000000002-2-22-222-2000000000000000000000000000000
χ682-2-2-22-22222-22-22-2-2-2-2222-222-2-2-222-2-222-22-2-2-22-22-222-222-22-2-22000000000000000000-222-200000000-222-22-2-22000000000000000000000000000000
χ692-2-2-22-2222-12-22-2-2-21122-112-1-21-2-1-111-1-11-112-1-221-1-21000000002i−2i−2i2i−2i2i2i−2i00003−300−33-111-133−3−3−3−33300000000−iii−ii−i−ii0000000000000000i3−i3−i3i300
χ702-2-2-22-2222-12-22-2-2-21122-112-1-21-2-1-111-1-11-112-1-221-1-21000000002i−2i−2i2i−2i2i2i−2i0000−33003−3-111-1−3−33333−3−300000000−iii−ii−i−ii0000000000000000−i3i3i3−i300
χ712-2-2-22-2222-12-22-2-2-21122-112-1-21-2-1-111-1-11-112-1-221-1-2100000000−2i2i2i−2i2i−2i−2i2i00003−300−33-111-133−3−3−3−33300000000i−i−ii−iii−i0000000000000000−i3i3i3−i300
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χ9444-4-4-44-444-200004-4-22-44-2-2-42-4242-2-222-2-2220000000000000000−22−2222222222−22−2200000000000000000000000000000022−2−2−2−2220000000000000000000000
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χ1084-4-44-444-4-2-244-4-42222222-2-2-2-2-2-221-1-1-1-1111-2-2-22-2222000000000000000000002i3−2i3002i3−2i31-11-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000
χ1094-4-44-444-4-2-2-4-4442222222-2-2-2-2-2-221-1-1-1-1111222-22-2-2-2000000000000000000−2i32i300−2i32i300-11-11i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000
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χ1144-4-4-44-444-2-24-44-42222-2-2-22-2-2222-21-1-111-11-1-2-22-22-22200000000000000000000−23230023−231-1-1133−3−3−3−33300000000000000000000000000000000000000
χ1154-4-4-44-444-2-2-44-442222-2-2-22-2-2222-21-1-111-11-122-22-22-2-200000000000000000023−2300−232300-111-1−33−333−33−300000000000000000000000000000000000000
χ1164-4-4-44-444-2-2-44-442222-2-2-22-2-2222-21-1-111-11-122-22-22-2-2000000000000000000−23230023−2300-111-13−33−3−33−3300000000000000000000000000000000000000
χ11788-888-8-8-8-4-40000-44-44-444444-4-44-422-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-88-88-4-40000-44-444-4-4-44444-4422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-888-8-8-88-4-400004-44-44-4-4444-4-4442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-888-8-8-4-400004-44-4-444-44444-4-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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