Finite Group Databasebeta

← Group #75548

Character table — Group #75548

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122222223444466666662244444412121212121212121212121244444466121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-11111-1-1-1-1-11
χ10111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111-1
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-1-1-111-1-1111-1
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-111-1-1-11
χ13111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-111-1-11-1
χ14111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-111-1-111-11
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-1-1-1-1-11111-11
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-11-1
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
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-10000-2-2-1-1-1-11111000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-10000221111-1-1-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1111111110000-22-1-11111-1-1000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-1111100002-2-1-111-1-111000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-11111111100002-211-1-1-1-111000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-111110000-2211-1-111-1-1000000000000
χ2522-22-22-2-2222-2-2-2-222-2-22000000000000000022-2-20000000000000000002i−2i2i−2i0000
χ2622-22-22-2-2222-2-2-2-222-2-22000000000000000022-2-2000000000000000000−2i2i−2i2i0000
χ2722-22-22-2-22-2-222-2-222-2-220000000000000000-2-2220000000000000000002i−2i−2i2i0000
χ2822-22-22-2-22-2-222-2-222-2-220000000000000000-2-222000000000000000000−2i2i2i−2i0000
χ2922-2-2-2-222200002-22-22-2-200002i−2i002i2i−2i−2i0000000022-2-20000000000002i−2i00000000
χ3022-2-2-2-222200002-22-22-2-200002i−2i002i2i−2i−2i00000000-2-222000000000000−2i2i00000000
χ3122-2-2-2-222200002-22-22-2-20000−2i2i00−2i−2i2i2i0000000022-2-2000000000000−2i2i00000000
χ3222-2-2-2-222200002-22-22-2-20000−2i2i00−2i−2i2i2i00000000-2-2220000000000002i−2i00000000
χ332-222-2-2-2222i−2i2i−2i-22-222-2-22-22i−2i0000000000002i−2i2i−2i0000002-22i−2i0000000000000000
χ342-222-2-2-2222i−2i2i−2i-22-222-2-2-22−2i2i0000000000002i−2i2i−2i000000-22−2i2i0000000000000000
χ352-222-2-2-222−2i2i−2i2i-22-222-2-22-2−2i2i000000000000−2i2i−2i2i0000002-2−2i2i0000000000000000
χ362-222-2-2-222−2i2i−2i2i-22-222-2-2-222i−2i000000000000−2i2i−2i2i000000-222i−2i0000000000000000
χ372-222-2-2-22-12i−2i2i−2i1-11-1-1112-22i−2i00003−33−3−i3−i3i3i3−ii−ii000000-11−ii−i3i33−3000000000000
χ382-222-2-2-22-12i−2i2i−2i1-11-1-1112-22i−2i0000−33−33i3i3−i3−i3−ii−ii000000-11−iii3−i3−33000000000000
χ392-222-2-2-22-12i−2i2i−2i1-11-1-111-22−2i2i00003−33−3−i3−i3i3i3−ii−ii0000001-1i−ii3−i3−33000000000000
χ402-222-2-2-22-12i−2i2i−2i1-11-1-111-22−2i2i0000−33−33i3i3−i3−i3−ii−ii0000001-1i−i−i3i33−3000000000000
χ412-222-2-2-22-1−2i2i−2i2i1-11-1-1112-2−2i2i00003−33−3i3i3−i3−i3i−ii−i000000-11i−ii3−i33−3000000000000
χ422-222-2-2-22-1−2i2i−2i2i1-11-1-1112-2−2i2i0000−33−33−i3−i3i3i3i−ii−i000000-11i−i−i3i3−33000000000000
χ432-222-2-2-22-1−2i2i−2i2i1-11-1-111-222i−2i00003−33−3i3i3−i3−i3i−ii−i0000001-1−ii−i3i3−33000000000000
χ442-222-2-2-22-1−2i2i−2i2i1-11-1-111-222i−2i0000−33−33−i3−i3i3i3i−ii−i0000001-1−iii3−i33−3000000000000
χ452-22-2-222-22000022-2-2-2-220000002i−2i00002i−2i2i−2i00002-22-20000000000000000002i−2i00
χ462-22-2-222-22000022-2-2-2-220000002i−2i00002i−2i2i−2i0000-22-22000000000000000000−2i2i00
χ472-22-2-222-22000022-2-2-2-22000000−2i2i0000−2i2i−2i2i00002-22-2000000000000000000−2i2i00
χ482-22-2-222-22000022-2-2-2-22000000−2i2i0000−2i2i−2i2i0000-22-220000000000000000002i−2i00
χ492-2-222-22-222i−2i−2i2i2-2-22-22-200000000000000002i−2i−2i2i2-2-2200000000002i−2i0000000000
χ502-2-222-22-222i−2i−2i2i2-2-22-22-200000000000000002i−2i−2i2i-222-20000000000−2i2i0000000000
χ512-2-222-22-22−2i2i2i−2i2-2-22-22-20000000000000000−2i2i2i−2i2-2-220000000000−2i2i0000000000
χ522-2-222-22-22−2i2i2i−2i2-2-22-22-20000000000000000−2i2i2i−2i-222-200000000002i−2i0000000000
χ53444-44-4-4-440000-444-4-44-40000000000000000000000000000000000000000000000
χ54444-44-4-4-4-200002-2-222-2200000000000023−23−2323000000000000000000000000000000
χ55444-44-4-4-4-200002-2-222-22000000000000−232323−23000000000000000000000000000000
χ5644-44-44-4-4-244-4-422-2-222-20000000000000000-2-22200000000000000000000000000
χ5744-44-44-4-4-2-4-44422-2-222-2000000000000000022-2-200000000000000000000000000
χ5844-4-4-4-444-20000-22-22-22200004i−4i00−2i−2i2i2i0000000000000000000000000000000000
χ5944-4-4-4-444-20000-22-22-2220000−4i4i002i2i−2i−2i0000000000000000000000000000000000
χ604-44-4-444-4-20000-2-22222-20000004i−4i0000−2i2i−2i2i000000000000000000000000000000
χ614-44-4-444-4-20000-2-22222-2000000−4i4i00002i−2i2i−2i000000000000000000000000000000
χ624-4-444-44-4-24i−4i−4i4i-222-22-220000000000000000−2i2i2i−2i00000000000000000000000000
χ634-4-444-44-4-2−4i4i4i−4i-222-22-2200000000000000002i−2i−2i2i00000000000000000000000000
χ644-4-4-444-4440000-4-4-4-44440000000000000000000000000000000000000000000000
χ654-4-4-444-44-200002222-2-2-200000000−2i32i32i3−2i30000000000000000000000000000000000
χ664-4-4-444-44-200002222-2-2-2000000002i3−2i3−2i32i30000000000000000000000000000000000

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