Finite Group Databasebeta

← Group #75365

Character table — Group #75365

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666444444441212121212121212121212124444441212121212121212224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-11111-1-1-1-11-1
χ10111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-11111-11
χ11111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-111-1-1-1-111-11
χ12111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-11111-1-11-1
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-111-1-111-1-1-1-1-11
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-111111-1
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1111-1
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-11
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
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-111110000-2-21111-1-1-1-1000000000000
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
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1111111110000-22-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-222-1-1-1-11111111100002-211-1-111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-100002-211-1-1-1-111000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-10000-22-1-11111-1-1000000000000
χ2522-22-22-2-2222-2-2-2-22-2-22200000000000022-2-200000000000000000000002i−2i002i−2i00
χ2622-22-22-2-2222-2-2-2-22-2-22200000000000022-2-20000000000000000000000−2i2i00−2i2i00
χ2722-22-22-2-22-2-222-2-22-2-222000000000000-2-22200000000000000000000002i−2i00−2i2i00
χ2822-22-22-2-22-2-222-2-22-2-222000000000000-2-2220000000000000000000000−2i2i002i−2i00
χ2922-2-2-2-22220000222-2-2-2-22-200000022-2-2000000002i2i−2i−2i0000000000002i−2i00000000
χ3022-2-2-2-22220000222-2-2-2-22-200000022-2-200000000−2i−2i2i2i000000000000−2i2i00000000
χ3122-2-2-2-22220000222-2-2-2-2-22000000-2-222000000002i2i−2i−2i000000000000−2i2i00000000
χ3222-2-2-2-22220000222-2-2-2-2-22000000-2-22200000000−2i−2i2i2i0000000000002i−2i00000000
χ332-222-2-2-2222i−2i2i−2i2-2-22-22-200002-22i−2i00002i−2i2i−2i000000000000002-22i−2i000000000000
χ342-222-2-2-2222i−2i2i−2i2-2-22-22-20000-22−2i2i00002i−2i2i−2i00000000000000-22−2i2i000000000000
χ352-222-2-2-222−2i2i−2i2i2-2-22-22-200002-2−2i2i0000−2i2i−2i2i000000000000002-2−2i2i000000000000
χ362-222-2-2-222−2i2i−2i2i2-2-22-22-20000-222i−2i0000−2i2i−2i2i00000000000000-222i−2i000000000000
χ372-222-2-2-22-12i−2i2i−2i-111-11-1100002-22i−2i3−33−3−ii−ii−i3−i3i3i30000003−3−i3i3-11−ii000000000000
χ382-222-2-2-22-12i−2i2i−2i-111-11-1100002-22i−2i−33−33−ii−iii3i3−i3−i3000000−33i3−i3-11−ii000000000000
χ392-222-2-2-22-12i−2i2i−2i-111-11-110000-22−2i2i3−33−3−ii−ii−i3−i3i3i3000000−33i3−i31-1i−i000000000000
χ402-222-2-2-22-12i−2i2i−2i-111-11-110000-22−2i2i−33−33−ii−iii3i3−i3−i30000003−3−i3i31-1i−i000000000000
χ412-222-2-2-22-1−2i2i−2i2i-111-11-1100002-2−2i2i3−33−3i−ii−ii3i3−i3−i30000003−3i3−i3-11i−i000000000000
χ422-222-2-2-22-1−2i2i−2i2i-111-11-1100002-2−2i2i−33−33i−ii−i−i3−i3i3i3000000−33−i3i3-11i−i000000000000
χ432-222-2-2-22-1−2i2i−2i2i-111-11-110000-222i−2i3−33−3i−ii−ii3i3−i3−i3000000−33−i3i31-1−ii000000000000
χ442-222-2-2-22-1−2i2i−2i2i-111-11-110000-222i−2i−33−33i−ii−i−i3−i3i3i30000003−3i3−i31-1−ii000000000000
χ452-22-2-222-220000-22-22-2-22002i−2i0000000000002i−2i2i−2i2i−2i2i−2i00000000002-20000000000
χ462-22-2-222-220000-22-22-2-22002i−2i0000000000002i−2i2i−2i−2i2i−2i2i0000000000-220000000000
χ472-22-2-222-220000-22-22-2-2200−2i2i000000000000−2i2i−2i2i2i−2i2i−2i0000000000-220000000000
χ482-22-2-222-220000-22-22-2-2200−2i2i000000000000−2i2i−2i2i−2i2i−2i2i00000000002-20000000000
χ492-2-222-22-222i−2i−2i2i-22-2-222-20000000000002i−2i−2i2i00002-2-2200000000000000002i−2i0000
χ502-2-222-22-222i−2i−2i2i-22-2-222-20000000000002i−2i−2i2i0000-222-20000000000000000−2i2i0000
χ512-2-222-22-22−2i2i2i−2i-22-2-222-2000000000000−2i2i2i−2i00002-2-220000000000000000−2i2i0000
χ522-2-222-22-22−2i2i2i−2i-22-2-222-2000000000000−2i2i2i−2i0000-222-200000000000000002i−2i0000
χ53444-44-4-4-440000-4-4444-4-40000000000000000000000000000000000000000000000
χ54444-44-4-4-4-2000022-2-2-222000000000000000023−23−232300000000000000000000000000
χ55444-44-4-4-4-2000022-2-2-2220000000000000000−232323−2300000000000000000000000000
χ5644-44-44-4-4-244-4-422-222-2-2000000000000-2-222000000000000000000000000000000
χ5744-44-44-4-4-2-4-44422-222-2-200000000000022-2-2000000000000000000000000000000
χ5844-4-4-4-444-20000-2-2-222224-4000000-2-2220000000000000000000000000000000000
χ5944-4-4-4-444-20000-2-2-22222-4400000022-2-20000000000000000000000000000000000
χ604-44-4-444-4-200002-22-222-2004i−4i000000000000−2i2i−2i2i00000000000000000000000000
χ614-44-4-444-4-200002-22-222-200−4i4i0000000000002i−2i2i−2i00000000000000000000000000
χ624-4-444-44-4-24i−4i−4i4i2-222-2-22000000000000−2i2i2i−2i000000000000000000000000000000
χ634-4-444-44-4-2−4i4i4i−4i2-222-2-220000000000002i−2i−2i2i000000000000000000000000000000
χ644-4-4-444-44400004-4-4-44-440000000000000000000000000000000000000000000000
χ654-4-4-444-44-20000-2222-22-20000000023−23−23230000000000000000000000000000000000
χ664-4-4-444-44-20000-2222-22-200000000−232323−230000000000000000000000000000000000

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