Finite Group Databasebeta

← Group #75326

Character table — Group #75326

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666444444441212121212121212121212124444441212121212121212222244444424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ41111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ511111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1-1-111-1-1111-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-111-1-1-11
χ11111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-1-1-11111-11
χ12111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111111-1-1-1-11-1
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1-11111-1-1-1-1-11
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-111111-1
χ15111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-111-1-11-1
χ16111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-111-1-111-11
χ1722222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ1822222222-12222-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-111110000-2-21111-1-1-1-1000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-11111000022-1-1-1-11111000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-100002-2-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1111111110000-2211-1-1-1-111000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-10000-2211-1-111-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-11111111100002-2-1-11111-1-1000000000000
χ25222-2-2-22-2200002-22-2-22-2002i−2i0000000000002i2i−2i−2i22-2-2000000000000002i−2i000000
χ26222-2-2-22-2200002-22-2-22-2002i−2i0000000000002i2i−2i−2i-2-22200000000000000−2i2i000000
χ27222-2-2-22-2200002-22-2-22-200−2i2i000000000000−2i−2i2i2i22-2-200000000000000−2i2i000000
χ28222-2-2-22-2200002-22-2-22-200−2i2i000000000000−2i−2i2i2i-2-222000000000000002i−2i000000
χ2922-22-22-2-222i2i−2i−2i2-2-22-2-220000000000002i2i−2i−2i00002i−2i2i−2i00000000002-20000000000
χ3022-22-22-2-222i2i−2i−2i2-2-22-2-220000000000002i2i−2i−2i0000−2i2i−2i2i0000000000-220000000000
χ3122-22-22-2-22−2i−2i2i2i2-2-22-2-22000000000000−2i−2i2i2i00002i−2i2i−2i0000000000-220000000000
χ3222-22-22-2-22−2i−2i2i2i2-2-22-2-22000000000000−2i−2i2i2i0000−2i2i−2i2i00000000002-20000000000
χ3322-2-22-2-222000022-2-22-2-20000002-222-2-2000000002i−2i−2i2i00000000000000002i−2i0000
χ3422-2-22-2-222000022-2-22-2-20000002-222-2-200000000−2i2i2i−2i0000000000000000−2i2i0000
χ3522-2-22-2-222000022-2-22-2-2000000-22-2-222000000002i−2i−2i2i0000000000000000−2i2i0000
χ3622-2-22-2-222000022-2-22-2-2000000-22-2-22200000000−2i2i2i−2i00000000000000002i−2i0000
χ372-2222-2-2-222i−2i2i−2i-222-2-2-222-2002i−2i0000002i−2i2i−2i000000000000002-22i−2i000000000000
χ382-2222-2-2-222i−2i2i−2i-222-2-2-22-2200−2i2i0000002i−2i2i−2i00000000000000-22−2i2i000000000000
χ392-2222-2-2-22−2i2i−2i2i-222-2-2-222-200−2i2i000000−2i2i−2i2i000000000000002-2−2i2i000000000000
χ402-2222-2-2-22−2i2i−2i2i-222-2-2-22-22002i−2i000000−2i2i−2i2i00000000000000-222i−2i000000000000
χ412-2222-2-2-2-12i−2i2i−2i1-1-1111-12-2002i−2i003−33−3−ii−ii−i3i3−i3i3000000−i3i33−3-11−ii000000000000
χ422-2222-2-2-2-12i−2i2i−2i1-1-1111-12-2002i−2i00−33−33−ii−iii3−i3i3−i3000000i3−i3−33-11−ii000000000000
χ432-2222-2-2-2-12i−2i2i−2i1-1-1111-1-2200−2i2i003−33−3−ii−ii−i3i3−i3i3000000i3−i3−331-1i−i000000000000
χ442-2222-2-2-2-12i−2i2i−2i1-1-1111-1-2200−2i2i00−33−33−ii−iii3−i3i3−i3000000−i3i33−31-1i−i000000000000
χ452-2222-2-2-2-1−2i2i−2i2i1-1-1111-12-200−2i2i003−33−3i−ii−ii3−i3i3−i3000000i3−i33−3-11i−i000000000000
χ462-2222-2-2-2-1−2i2i−2i2i1-1-1111-12-200−2i2i00−33−33i−ii−i−i3i3−i3i3000000−i3i3−33-11i−i000000000000
χ472-2222-2-2-2-1−2i2i−2i2i1-1-1111-1-22002i−2i003−33−3i−ii−ii3−i3i3−i3000000−i3i3−331-1−ii000000000000
χ482-2222-2-2-2-1−2i2i−2i2i1-1-1111-1-22002i−2i00−33−33i−ii−i−i3i3−i3i3000000i3−i33−31-1−ii000000000000
χ492-2-22-2-22222-2-22-2-2-2-22220000000000002-2-22000000000000000000002-200002-200
χ502-2-22-2-22222-2-22-2-2-2-22220000000000002-2-2200000000000000000000-220000-2200
χ512-2-22-2-2222-222-2-2-2-2-2222000000000000-222-2000000000000000000002-20000-2200
χ522-2-22-2-2222-222-2-2-2-2-2222000000000000-222-200000000000000000000-2200002-200
χ53444-4-4-44-4-20000-22-222-22004i−4i000000000000−2i−2i2i2i00000000000000000000000000
χ54444-4-4-44-4-20000-22-222-2200−4i4i0000000000002i2i−2i−2i00000000000000000000000000
χ5544-44-44-4-4-24i4i−4i−4i-222-222-2000000000000−2i−2i2i2i000000000000000000000000000000
χ5644-44-44-4-4-2−4i−4i4i4i-222-222-20000000000002i2i−2i−2i000000000000000000000000000000
χ5744-4-44-4-44-20000-2-222-2220000004-4-2-2220000000000000000000000000000000000
χ5844-4-44-4-44-20000-2-222-222000000-4422-2-20000000000000000000000000000000000
χ594-44-4-44-4440000-4-4444-4-40000000000000000000000000000000000000000000000
χ604-44-4-44-44-2000022-2-2-222000000000000000023−23−232300000000000000000000000000
χ614-44-4-44-44-2000022-2-2-2220000000000000000−232323−2300000000000000000000000000
χ624-4-44-4-444-24-4-442222-2-2-2000000000000-222-2000000000000000000000000000000
χ634-4-44-4-444-2-444-42222-2-2-20000000000002-2-22000000000000000000000000000000
χ644-4-4-4444-440000-44-44-44-40000000000000000000000000000000000000000000000
χ654-4-4-4444-4-200002-22-22-220000000023−23−23230000000000000000000000000000000000
χ664-4-4-4444-4-200002-22-22-2200000000−232323−230000000000000000000000000000000000

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