Finite Group Databasebeta

← Group #11887117

Character table — Group #11887117

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444441212121218181818242424242424242424242424242436363636363648484848
order1222223344666666666688883466666666688121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424224422442244446666121212124488886121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11-111111-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-1111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-1-1-11111-1-1111111-1-1
χ91111-1-111111-1-1-1-11111111111-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1111-1-111-1-11-1-1-1111-11-1
χ101111-1-111111-1-1-1-11111111111-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1111-1-1-11-11
χ111111-1-111111-1-1-1-11111111111-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-111-1-1111-1-1-111-11-11
χ121111-1-111111-1-1-1-11111111111-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1111-1-11-11-1
χ131111-1-111111-1-1-1-111111-1-1-1-11-1-1-111-1-1-1-11111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-11-111-111-1-1-1-1111-111-1-11-1-11
χ141111-1-111111-1-1-1-111111-1-1-1-11-1-1-111-1-1-1-11111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11-11111-1-1-1-111-11-1-111-111-1
χ151111-1-111111-1-1-1-111111-1-1-1-11-1-1-111-1-1-1-11111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11-11-1-11-1-11111-1-11-111-1-1-111-1
χ161111-1-111111-1-1-1-111111-1-1-1-11-1-1-111-1-1-1-11111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-11-1-1-1-11111-1-1-11-1-1111-1-11
χ1722222222-2-2222222222200002-222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000222200000000000000-2-200000000
χ1822222222-2-2222222222200002-222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2-2-2000000000000002200000000
χ192222222-122-1-1-1-1-1-1222-12222-1222-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000200020-1-1-1-1-1-1-1-10000000000
χ202222222-122-1-1-1-1-1-1222-12222-1222-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2000-20111111110000000000
χ212222222-122-1-1-1-1-1-1222-1-2-2-2-2-1222-1-1-1-1-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-200002000-20-1-1-1-111110000000000
χ222222222-122-1-1-1-1-1-1222-1-2-2-2-2-1222-1-1-1-1-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2220000-2000201111-1-1-1-10000000000
χ23222222-1222222222-1-1-122222-12-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000002220200000000000000-1-1-1-1
χ24222222-1222222222-1-1-122222-12-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000-2-2-20-2000000000000001111
χ25222222-1222222222-1-1-12-2-2-2-2-12-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000022-20-200000000000000-1-111
χ26222222-1222222222-1-1-12-2-2-2-2-12-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000-2-22020000000000000011-1-1
χ272222-2-222-2-22-2-2-2-222222000022-2-222-2-2-2-2200-222-222-2-22222-2-2-2-200000000000000000000000000000000000022-2-200000000000000-2200000000
χ282222-2-222-2-22-2-2-2-222222000022-2-222-2-2-2-2200-222-222-2-22222-2-2-2-2000000000000000000000000000000000000-2-222000000000000002-200000000
χ292222-2-22-122-11111-1222-12222-1-2-2-2-1-11111-1-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122220000-2000-20-1-111-1-1110000000000
χ302222-2-22-122-11111-1222-12222-1-2-2-2-1-11111-1-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2000020002011-1-111-1-10000000000
χ312222-2-22-122-11111-1222-1-2-2-2-2-1-2-2-2-1-11111-122-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-20000-200020-1-11111-1-10000000000
χ322222-2-22-122-11111-1222-1-2-2-2-2-1-2-2-2-1-11111-122-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-22200002000-2011-1-1-1-1110000000000
χ332222-2-2-12222-2-2-2-22-1-1-122222-1-211-1-11111-1-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000002-2-20200000000000000-11-11
χ342222-2-2-12222-2-2-2-22-1-1-122222-1-211-1-11111-1-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000-2220-2000000000000001-11-1
χ352222-2-2-12222-2-2-2-22-1-1-12-2-2-2-2-1-211-1-11111-1222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000002-220-200000000000000-111-1
χ362222-2-2-12222-2-2-2-22-1-1-12-2-2-2-2-1-211-1-11111-1222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000-22-202000000000000001-1-11
χ3722-2-22-22200222-2-2-22-2-2-2−i2−i2i2i2202-22-222-2-2-2−i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200002-22-20000000000000000−i2i2−i2i20000
χ3822-2-22-22200222-2-2-22-2-2-2−i2−i2i2i2202-22-222-2-2-2−i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000-22-220000000000000000i2−i2i2−i20000
χ3922-2-22-22200222-2-2-22-2-2-2i2i2−i2−i2202-22-222-2-2-2i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200002-22-20000000000000000i2−i2i2−i20000
χ4022-2-22-22200222-2-2-22-2-2-2i2i2−i2−i2202-22-222-2-2-2i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000-22-220000000000000000−i2i2−i2i20000
χ4122-2-2-2222002-2-222-22-2-2-2−i2−i2i2i220-222-2-2-222-2i2−i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200002-2-220000000000000000i2−i2−i2i20000
χ4222-2-2-2222002-2-222-22-2-2-2−i2−i2i2i220-222-2-2-222-2i2−i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000-222-20000000000000000−i2i2i2−i20000
χ4322-2-2-2222002-2-222-22-2-2-2i2i2−i2−i220-222-2-2-222-2−i2i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200002-2-220000000000000000−i2i2i2−i20000
χ4422-2-2-2222002-2-222-22-2-2-2i2i2−i2−i220-222-2-2-222-2−i2i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000-222-20000000000000000i2−i2−i2i20000
χ452-22-200222-2-200002-2-22-22i−2i2i−2i2000-2-20000200200200220000-2-2-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000002-22i−2i00000000002-2002i−2i000000000000
χ462-22-200222-2-200002-2-22-22i−2i2i−2i2000-2-20000200200200220000-2-2-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000-22−2i2i0000000000-2200−2i2i000000000000
χ472-22-200222-2-200002-2-22-2−2i2i−2i2i2000-2-20000200200200220000-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000002-2−2i2i00000000002-200−2i2i000000000000
χ482-22-200222-2-200002-2-22-2−2i2i−2i2i2000-2-20000200200200220000-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000-222i−2i0000000000-22002i−2i000000000000
χ492-22-2002-12-21−i3i3−i3i3-1-2-2212i−2i2i−2i-100011−i3i3−i3i3-100-1−i3i3200-1-1−i3−i3i3i31-2112i−2i2i−2i−ii−ii−i−iii−i−iii00003−33−333−3−333−3−32-22i−2i0000000000-11−i3i3−ii3−30000000000
χ502-22-2002-12-21−i3i3−i3i3-1-2-2212i−2i2i−2i-100011−i3i3−i3i3-100-1−i3i3200-1-1−i3−i3i3i31-2112i−2i2i−2i−ii−ii−i−iii−i−iii00003−33−333−3−333−3−3-22−2i2i00000000001-1i3−i3i−i−330000000000
χ512-22-2002-12-21−i3i3−i3i3-1-2-221−2i2i−2i2i-100011−i3i3−i3i3-100-1−i3i3200-1-1−i3−i3i3i31-211−2i2i−2i2ii−ii−iii−i−iii−i−i0000−33−33−3−333−3−3332-2−2i2i0000000000-11−i3i3i−i−330000000000
χ522-22-2002-12-21−i3i3−i3i3-1-2-221−2i2i−2i2i-100011−i3i3−i3i3-100-1−i3i3200-1-1−i3−i3i3i31-211−2i2i−2i2ii−ii−iii−i−iii−i−i0000−33−33−3−333−3−333-222i−2i00000000001-1i3−i3−ii3−30000000000
χ532-22-2002-12-21i3−i3i3−i3-1-2-2212i−2i2i−2i-100011i3−i3i3−i3-100-1i3−i3200-1-1i3i3−i3−i31-2112i−2i2i−2i−ii−ii−i−iii−i−iii0000−33−33−3−333−3−3332-22i−2i0000000000-11i3−i3−ii−330000000000
χ542-22-2002-12-21i3−i3i3−i3-1-2-2212i−2i2i−2i-100011i3−i3i3−i3-100-1i3−i3200-1-1i3i3−i3−i31-2112i−2i2i−2i−ii−ii−i−iii−i−iii0000−33−33−3−333−3−333-22−2i2i00000000001-1−i3i3i−i3−30000000000
χ552-22-2002-12-21i3−i3i3−i3-1-2-221−2i2i−2i2i-100011i3−i3i3−i3-100-1i3−i3200-1-1i3i3−i3−i31-211−2i2i−2i2ii−ii−iii−i−iii−i−i00003−33−333−3−333−3−32-2−2i2i0000000000-11i3−i3i−i3−30000000000
χ562-22-2002-12-21i3−i3i3−i3-1-2-221−2i2i−2i2i-100011i3−i3i3−i3-100-1i3−i3200-1-1i3i3−i3−i31-211−2i2i−2i2ii−ii−iii−i−iii−i−i00003−33−333−3−333−3−3-222i−2i00000000001-1−i3i3−ii−330000000000
χ574444444-2-4-4-2-2-2-2-2-2444-20000-2-444-2-2-2-2-2-2-200222-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
χ58444444-24-4-4444444-2-2-240000-2-4-2-2-2-2-2-2-2-2-200-4-4-4222222222-42220000000000000000000000000000000000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-2-2-2-2-2444414-2-2111111144-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ60444444-2-244-2-2-2-2-2-2-2-2-2-2-4-4-4-414-2-21111111-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2-2-2-2-200001-4-2-2111111100222222-1-1-1-1-1-122-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
χ62444444-2-2-4-4-2-2-2-2-2-2-2-2-2-200001-4-2-2111111100222222-1-1-1-1-1-122-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
χ634444-4-44-2-4-4-22222-2444-20000-24-4-4-2-22222-2002-2-2-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ644444-4-4-24-4-44-4-4-4-44-2-2-240000-2422-2-22222-200-4442-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ654444-4-4-2-244-22222-2-2-2-2-244441-42211-1-1-1-11-4-4-222-22211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ664444-4-4-2-244-22222-2-2-2-2-2-4-4-4-41-42211-1-1-1-1144-222-22211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ674444-4-4-2-2-4-4-22222-2-2-2-2-20000142211-1-1-1-11002-2-22-2-2-1-1111122-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.