Finite Group Databasebeta

← Group #83086

Character table — Group #83086

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122222223444466666662244444412121212121212121212121244444466121212121212444444444424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-1
χ41111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ511111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ611111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-1-1-1-1-111111-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1111111-1-1-1-1-11
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-11111-1-1-11
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1111-1
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-111-1-1-1-111-11
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-11111-1-11-1
χ15111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-11111-1-1-1-11-1
χ16111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-1-1-11111-11
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
χ1822222222-12222-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1111111110000-2-2-1-1-1-11111000000000000
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
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000221111-1-1-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-21111-1-1-1-1111100002-2-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-10000-22-1-11111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-111110000-2211-1-111-1-1000000000000
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
χ2522-22-2-2-222000022-2-22-2-2002i−2i000000002i2i−2i−2i00002i2i−2i−2i0000000000000000002-200
χ2622-22-2-2-222000022-2-22-2-2002i−2i000000002i2i−2i−2i0000−2i−2i2i2i000000000000000000-2200
χ2722-22-2-2-222000022-2-22-2-200−2i2i00000000−2i−2i2i2i00002i2i−2i−2i000000000000000000-2200
χ2822-22-2-2-222000022-2-22-2-200−2i2i00000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000002-200
χ2922-2-2-222-222i2i−2i−2i2-22-2-22-2000000002i2i−2i−2i0000000000000000000000002i−2i002-20000
χ3022-2-2-222-222i2i−2i−2i2-22-2-22-2000000002i2i−2i−2i000000000000000000000000−2i2i00-220000
χ3122-2-2-222-22−2i−2i2i2i2-22-2-22-200000000−2i−2i2i2i0000000000000000000000002i−2i00-220000
χ3222-2-2-222-22−2i−2i2i2i2-22-2-22-200000000−2i−2i2i2i000000000000000000000000−2i2i002-20000
χ332-222-2-22-220000-222-2-2-220000002i−2i000000002i2i−2i−2i2-22-2000000000000002i−2i000000
χ342-222-2-22-220000-222-2-2-220000002i−2i000000002i2i−2i−2i-22-2200000000000000−2i2i000000
χ352-222-2-22-220000-222-2-2-22000000−2i2i00000000−2i−2i2i2i2-22-200000000000000−2i2i000000
χ362-222-2-22-220000-222-2-2-22000000−2i2i00000000−2i−2i2i2i-22-22000000000000002i−2i000000
χ372-22-2-22-2222-22-2-2-2-2-22222-2002-2002-22-2000000000000002-22-20000000000000000
χ382-22-2-22-2222-22-2-2-2-2-2222-2200-22002-22-200000000000000-22-220000000000000000
χ392-22-2-22-222-22-22-2-2-2-22222-200-2200-22-22000000000000002-2-220000000000000000
χ402-22-2-22-222-22-22-2-2-2-2222-22002-200-22-2200000000000000-222-20000000000000000
χ412-22-2-22-22-12-22-21111-1-1-12-2002-200-11-11−i3i3−i3i3−i3i3−i3i3000000-11-11−i3i3−i3i3000000000000
χ422-22-2-22-22-12-22-21111-1-1-12-2002-200-11-11i3−i3i3−i3i3−i3i3−i3000000-11-11i3−i3i3−i3000000000000
χ432-22-2-22-22-12-22-21111-1-1-1-2200-2200-11-11−i3i3−i3i3−i3i3−i3i30000001-11-1i3−i3i3−i3000000000000
χ442-22-2-22-22-12-22-21111-1-1-1-2200-2200-11-11i3−i3i3−i3i3−i3i3−i30000001-11-1−i3i3−i3i3000000000000
χ452-22-2-22-22-1-22-221111-1-1-12-200-22001-11-1−i3i3−i3i3i3−i3i3−i3000000-111-1−i3i3i3−i3000000000000
χ462-22-2-22-22-1-22-221111-1-1-12-200-22001-11-1i3−i3i3−i3−i3i3−i3i3000000-111-1i3−i3−i3i3000000000000
χ472-22-2-22-22-1-22-221111-1-1-1-22002-2001-11-1−i3i3−i3i3i3−i3i3−i30000001-1-11i3−i3−i3i3000000000000
χ482-22-2-22-22-1-22-221111-1-1-1-22002-2001-11-1i3−i3i3−i3−i3i3−i3i30000001-1-11−i3i3i3−i3000000000000
χ492-2-2222-2-222i−2i−2i2i-22-22-22-2000000002i−2i−2i2i000000002i−2i−2i2i00000000002-20000000000
χ502-2-2222-2-222i−2i−2i2i-22-22-22-2000000002i−2i−2i2i00000000−2i2i2i−2i0000000000-220000000000
χ512-2-2222-2-22−2i2i2i−2i-22-22-22-200000000−2i2i2i−2i000000002i−2i−2i2i0000000000-220000000000
χ522-2-2222-2-22−2i2i2i−2i-22-22-22-200000000−2i2i2i−2i00000000−2i2i2i−2i00000000002-20000000000
χ53444-44-4-4-4400004-4-44-4-440000000000000000000000000000000000000000000000
χ54444-44-4-4-4-20000-222-222-2000000000000000023−23−232300000000000000000000000000
χ55444-44-4-4-4-20000-222-222-20000000000000000−232323−2300000000000000000000000000
χ5644-44-4-4-44-20000-2-222-222004i−4i00000000−2i−2i2i2i000000000000000000000000000000
χ5744-44-4-4-44-20000-2-222-22200−4i4i000000002i2i−2i−2i000000000000000000000000000000
χ5844-4-4-444-4-24i4i−4i−4i-22-222-2200000000−2i−2i2i2i0000000000000000000000000000000000
χ5944-4-4-444-4-2−4i−4i4i4i-22-222-22000000002i2i−2i−2i0000000000000000000000000000000000
χ604-444-4-44-4-200002-2-2222-20000004i−4i00000000−2i−2i2i2i00000000000000000000000000
χ614-444-4-44-4-200002-2-2222-2000000−4i4i000000002i2i−2i−2i00000000000000000000000000
χ624-4-4444-4-4-24i−4i−4i4i2-22-22-2200000000−2i2i2i−2i0000000000000000000000000000000000
χ634-4-4444-4-4-2−4i4i4i−4i2-22-22-22000000002i−2i−2i2i0000000000000000000000000000000000
χ644-4-4-44-44440000-4-4444-4-40000000000000000000000000000000000000000000000
χ654-4-4-44-444-2000022-2-2-22200000000000023−23−2323000000000000000000000000000000
χ664-4-4-44-444-2000022-2-2-222000000000000−232323−23000000000000000000000000000000

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