Finite Group Databasebeta

← Group #75564

Character table — Group #75564

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122222223444466666664444444412121212121212121212121244442466121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-111-1-1-1-111-11
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1-11-1
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-111-1-111-1-11-1
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-111-1-111-11
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1-1-111-1-1111-1
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-11111-1-111-1-1-11
χ15111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-11111-1-1-11
χ16111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111111111-1-1-1-1111-1
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
χ1822222222-12222-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-222-2-222-1-1-1-1111111110000-2-211-1-111-1-1000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000022-1-111-1-111000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-21111-1-1-1-111110000-2211-1-1-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-1111100002-2-1-11111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-100002-2-1-1-1-11111000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-10000-221111-1-1-1-1000000000000
χ2522-2-22-2-2222i2i−2i−2i22-2-2-2-22000000002i2i−2i−2i000000002i2i−2i−2i00000000002-20000000000
χ2622-2-22-2-2222i2i−2i−2i22-2-2-2-22000000002i2i−2i−2i00000000−2i−2i2i2i0000000000-220000000000
χ2722-2-22-2-222−2i−2i2i2i22-2-2-2-2200000000−2i−2i2i2i000000002i2i−2i−2i0000000000-220000000000
χ2822-2-22-2-222−2i−2i2i2i22-2-2-2-2200000000−2i−2i2i2i00000000−2i−2i2i2i00000000002-20000000000
χ292-222-2-2-2220000-2-222-2-222-2000000000022-2-200002i−2i2i−2i0000000000002i−2i00000000
χ302-222-2-2-2220000-2-222-2-222-2000000000022-2-20000−2i2i−2i2i000000000000−2i2i00000000
χ312-222-2-2-2220000-2-222-2-22-220000000000-2-22200002i−2i2i−2i000000000000−2i2i00000000
χ322-222-2-2-2220000-2-222-2-22-220000000000-2-2220000−2i2i−2i2i0000000000002i−2i00000000
χ332-22-222-2-222-22-22-22-22-2-2002i−2i002i−2i2-22-200000000000000002i−2i002i−2i000000000000
χ342-22-222-2-222-22-22-22-22-2-200−2i2i00−2i2i2-22-20000000000000000−2i2i00−2i2i000000000000
χ352-22-222-2-22-22-222-22-22-2-2002i−2i00−2i2i-22-2200000000000000002i−2i00−2i2i000000000000
χ362-22-222-2-22-22-222-22-22-2-200−2i2i002i−2i-22-220000000000000000−2i2i002i−2i000000000000
χ372-22-222-2-2-12-22-2-11-11-111002i−2i002i−2i-11-113−33−333−3−3000000−i3i3−ii−i3i3−ii000000000000
χ382-22-222-2-2-12-22-2-11-11-111002i−2i002i−2i-11-11−33−33−3−333000000i3−i3−iii3−i3−ii000000000000
χ392-22-222-2-2-12-22-2-11-11-11100−2i2i00−2i2i-11-113−33−333−3−3000000i3−i3i−ii3−i3i−i000000000000
χ402-22-222-2-2-12-22-2-11-11-11100−2i2i00−2i2i-11-11−33−33−3−333000000−i3i3i−i−i3i3i−i000000000000
χ412-22-222-2-2-1-22-22-11-11-111002i−2i00−2i2i1-11-13−33−3−3−333000000i3−i3−ii−i3i3i−i000000000000
χ422-22-222-2-2-1-22-22-11-11-111002i−2i00−2i2i1-11-1−33−3333−3−3000000−i3i3−iii3−i3i−i000000000000
χ432-22-222-2-2-1-22-22-11-11-11100−2i2i002i−2i1-11-13−33−3−3−333000000−i3i3i−ii3−i3−ii000000000000
χ442-22-222-2-2-1-22-22-11-11-11100−2i2i002i−2i1-11-1−33−3333−3−3000000i3−i3i−i−i3i3−ii000000000000
χ452-2-222-22-222i−2i−2i2i2-2-22-22-2000000002i−2i−2i2i00000000000000000000000000002-22i−2i00
χ462-2-222-22-222i−2i−2i2i2-2-22-22-2000000002i−2i−2i2i0000000000000000000000000000-22−2i2i00
χ472-2-222-22-22−2i2i2i−2i2-2-22-22-200000000−2i2i2i−2i00000000000000000000000000002-2−2i2i00
χ482-2-222-22-22−2i2i2i−2i2-2-22-22-200000000−2i2i2i−2i0000000000000000000000000000-222i−2i00
χ492-2-2-2-222220000-2-2-2-222200002-200000000002-22-22-2-22000000000000002-2000000
χ502-2-2-2-222220000-2-2-2-222200002-200000000002-22-2-222-200000000000000-22000000
χ512-2-2-2-222220000-2-2-2-22220000-220000000000-22-222-2-2200000000000000-22000000
χ522-2-2-2-222220000-2-2-2-22220000-220000000000-22-22-222-2000000000000002-2000000
χ53444-4-4-44-440000-444-4-44-40000000000000000000000000000000000000000000000
χ54444-4-4-44-4-200002-2-222-2200000000000023−23−2323000000000000000000000000000000
χ55444-4-4-44-4-200002-2-222-22000000000000−232323−23000000000000000000000000000000
χ5644-44-44-4-440000-44-444-4-40000000000000000000000000000000000000000000000
χ5744-44-44-4-4-200002-22-2-222000000000000000023−23−232300000000000000000000000000
χ5844-44-44-4-4-200002-22-2-2220000000000000000−232323−2300000000000000000000000000
χ5944-4-44-4-44-24i4i−4i−4i-2-22222-200000000−2i−2i2i2i0000000000000000000000000000000000
χ6044-4-44-4-44-2−4i−4i4i4i-2-22222-2000000002i2i−2i−2i0000000000000000000000000000000000
χ614-444-4-4-44-2000022-2-222-24-40000000000-2-222000000000000000000000000000000
χ624-444-4-4-44-2000022-2-222-2-44000000000022-2-2000000000000000000000000000000
χ634-4-444-44-4-24i−4i−4i4i-222-22-2200000000−2i2i2i−2i0000000000000000000000000000000000
χ644-4-444-44-4-2−4i4i4i−4i-222-22-22000000002i−2i−2i2i0000000000000000000000000000000000
χ654-4-4-4-4444-200002222-2-2-200004-40000000000-22-2200000000000000000000000000
χ664-4-4-4-4444-200002222-2-2-20000-4400000000002-22-200000000000000000000000000

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