Finite Group Databasebeta

← Group #74606

Character table — Group #74606

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order1222222234444666666622444444666612121212121212122222441212121212121212224444444424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-1-1-1-111-11
χ10111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11111-1-11-1
χ11111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-111-1-1111-1
χ12111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-111-1-1-11
χ13111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-1111111-1-1-1-1-1-11-1
χ14111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-11
χ15111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-111-1-111-1-1-1-1-11
χ16111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-111111-1
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
χ1822222222-12222-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-111110000-2-2-1-1-1-11111000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-111110000221111-1-1-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111111100002-2-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1111111110000-2211-1-111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-10000-22-1-11111-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-100002-211-1-1-1-111000000000000
χ2522-22-22-2-222i2i−2i−2i2-2-222-2-20000000000002i2i−2i−2i000000000000000000002i−2i2-2000000
χ2622-22-22-2-222i2i−2i−2i2-2-222-2-20000000000002i2i−2i−2i00000000000000000000−2i2i-22000000
χ2722-22-22-2-22−2i−2i2i2i2-2-222-2-2000000000000−2i−2i2i2i000000000000000000002i−2i-22000000
χ2822-22-22-2-22−2i−2i2i2i2-2-222-2-2000000000000−2i−2i2i2i00000000000000000000−2i2i2-2000000
χ2922-2-2-2-222200002-2-2-2-2220000002-20000000022-2-222-2-200000000002-20000000000
χ3022-2-2-2-222200002-2-2-2-2220000002-20000000022-2-2-2-2220000000000-220000000000
χ3122-2-2-2-222200002-2-2-2-222000000-2200000000-2-22222-2-20000000000-220000000000
χ3222-2-2-2-222200002-2-2-2-222000000-2200000000-2-222-2-22200000000002-20000000000
χ332-222-2-22-222i−2i2i−2i-22-22-22-2002-22i−2i0000002i−2i2i−2i00000000002-22i−2i0000000000000000
χ342-222-2-22-222i−2i2i−2i-22-22-22-200-22−2i2i0000002i−2i2i−2i0000000000-22−2i2i0000000000000000
χ352-222-2-22-22−2i2i−2i2i-22-22-22-2002-2−2i2i000000−2i2i−2i2i00000000002-2−2i2i0000000000000000
χ362-222-2-22-22−2i2i−2i2i-22-22-22-200-222i−2i000000−2i2i−2i2i0000000000-222i−2i0000000000000000
χ372-222-2-22-2-12i−2i2i−2i1-11-11-11002-22i−2i00−i3−i3i3i3−ii−ii3−33−3000000-11−ii−i3i33−3000000000000
χ382-222-2-22-2-12i−2i2i−2i1-11-11-11002-22i−2i00i3i3−i3−i3−ii−ii−33−33000000-11−iii3−i3−33000000000000
χ392-222-2-22-2-12i−2i2i−2i1-11-11-1100-22−2i2i00−i3−i3i3i3−ii−ii3−33−30000001-1i−ii3−i3−33000000000000
χ402-222-2-22-2-12i−2i2i−2i1-11-11-1100-22−2i2i00i3i3−i3−i3−ii−ii−33−330000001-1i−i−i3i33−3000000000000
χ412-222-2-22-2-1−2i2i−2i2i1-11-11-11002-2−2i2i00−i3−i3i3i3i−ii−i−33−33000000-11i−i−i3i3−33000000000000
χ422-222-2-22-2-1−2i2i−2i2i1-11-11-11002-2−2i2i00i3i3−i3−i3i−ii−i3−33−3000000-11i−ii3−i33−3000000000000
χ432-222-2-22-2-1−2i2i−2i2i1-11-11-1100-222i−2i00−i3−i3i3i3i−ii−i−33−330000001-1−iii3−i33−3000000000000
χ442-222-2-22-2-1−2i2i−2i2i1-11-11-1100-222i−2i00i3i3−i3−i3i−ii−i3−33−30000001-1−ii−i3i3−33000000000000
χ452-22-2-22-2220000-22-2-22-222-20000002-22-2000000002-22-20000000000000000002-200
χ462-22-2-22-2220000-22-2-22-222-20000002-22-200000000-22-22000000000000000000-2200
χ472-22-2-22-2220000-22-2-22-22-22000000-22-22000000002-22-2000000000000000000-2200
χ482-22-2-22-2220000-22-2-22-22-22000000-22-2200000000-22-220000000000000000002-200
χ492-2-222-2-2222-2-22-2-222-2-220000000000002-2-2200002-2-2200000000000000002-20000
χ502-2-222-2-2222-2-22-2-222-2-220000000000002-2-220000-222-20000000000000000-220000
χ512-2-222-2-222-222-2-2-222-2-22000000000000-222-200002-2-220000000000000000-220000
χ522-2-222-2-222-222-2-2-222-2-22000000000000-222-20000-222-200000000000000002-20000
χ53444-44-4-4-440000444-4-4-4-40000000000000000000000000000000000000000000000
χ54444-44-4-4-4-20000-2-2-2222200000000−2i32i32i3−2i30000000000000000000000000000000000
χ55444-44-4-4-4-20000-2-2-22222000000002i3−2i3−2i32i30000000000000000000000000000000000
χ5644-44-44-4-4-24i4i−4i−4i-222-2-222000000000000−2i−2i2i2i000000000000000000000000000000
χ5744-44-44-4-4-2−4i−4i4i4i-222-2-2220000000000002i2i−2i−2i000000000000000000000000000000
χ5844-4-4-4-444-20000-22222-2-20000004-400000000-2-22200000000000000000000000000
χ5944-4-4-4-444-20000-22222-2-2000000-440000000022-2-200000000000000000000000000
χ604-44-4-44-44-200002-222-22-24-4000000-22-220000000000000000000000000000000000
χ614-44-4-44-44-200002-222-22-2-440000002-22-20000000000000000000000000000000000
χ624-4-444-4-44-24-4-4422-2-222-2000000000000-222-2000000000000000000000000000000
χ634-4-444-4-44-2-444-422-2-222-20000000000002-2-22000000000000000000000000000000
χ644-4-4-4444-440000-4-44-444-40000000000000000000000000000000000000000000000
χ654-4-4-4444-4-2000022-22-2-22000000000000000023−23−232300000000000000000000000000
χ664-4-4-4444-4-2000022-22-2-220000000000000000−232323−2300000000000000000000000000

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