Finite Group Databasebeta

← Group #75071

Character table — Group #75071

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666444444441212121212121212121212124444441212121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-1-11
χ10111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-1111-1
χ11111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-111111-1
χ12111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111111-1-1-1-1-11
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-11111-1-1-1-11-1
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-11111-11
χ15111111111-1-1-1-11111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-111-1-1-1-111-11
χ16111111111-1-1-1-11111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1-11-1
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
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-21111-1-1-1-111110000-2-2-1-111-1-111000000000000
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
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-1111100002211-1-111-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-211111111-1-1-1-10000-22-1-1-1-11111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-222-1-1-1-11111111100002-2-1-11111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-100002-21111-1-1-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-222-1-1-1-1111111110000-2211-1-1-1-111000000000000
χ2522-2-2-2-22222i2i−2i−2i-2-2222-2-20000000000002i2i−2i−2i000022-2-200000000002i−2i0000000000
χ2622-2-2-2-22222i2i−2i−2i-2-2222-2-20000000000002i2i−2i−2i0000-2-2220000000000−2i2i0000000000
χ2722-2-2-2-2222−2i−2i2i2i-2-2222-2-2000000000000−2i−2i2i2i000022-2-20000000000−2i2i0000000000
χ2822-2-2-2-2222−2i−2i2i2i-2-2222-2-2000000000000−2i−2i2i2i0000-2-22200000000002i−2i0000000000
χ292-222-2-22-220000-2-22-2-22200002-2000000000022-2-22i−2i2i−2i000000000000002i−2i000000
χ302-222-2-22-220000-2-22-2-22200002-2000000000022-2-2−2i2i−2i2i00000000000000−2i2i000000
χ312-222-2-22-220000-2-22-2-2220000-220000000000-2-2222i−2i2i−2i00000000000000−2i2i000000
χ322-222-2-22-220000-2-22-2-2220000-220000000000-2-222−2i2i−2i2i000000000000002i−2i000000
χ332-22-22-2-2222-22-22-2-22-22-22i−2i2i−2i000000002-22-200000000002i−2i002i−2i00000000000000
χ342-22-22-2-2222-22-22-2-22-22-2−2i2i−2i2i000000002-22-20000000000−2i2i00−2i2i00000000000000
χ352-22-22-2-222-22-222-2-22-22-22i−2i−2i2i00000000-22-2200000000002i−2i00−2i2i00000000000000
χ362-22-22-2-222-22-222-2-22-22-2−2i2i2i−2i00000000-22-220000000000−2i2i002i−2i00000000000000
χ372-22-22-2-22-12-22-2-111-11-112i−2i2i−2i000033−3−3-11-113−33−3000000−ii−i3i3−ii−i3i3000000000000
χ382-22-22-2-22-12-22-2-111-11-112i−2i2i−2i0000−3−333-11-11−33−33000000−iii3−i3−iii3−i3000000000000
χ392-22-22-2-22-12-22-2-111-11-11−2i2i−2i2i000033−3−3-11-113−33−3000000i−ii3−i3i−ii3−i3000000000000
χ402-22-22-2-22-12-22-2-111-11-11−2i2i−2i2i0000−3−333-11-11−33−33000000i−i−i3i3i−i−i3i3000000000000
χ412-22-22-2-22-1-22-22-111-11-112i−2i−2i2i000033−3−31-11-1−33−33000000−iii3−i3i−i−i3i3000000000000
χ422-22-22-2-22-1-22-22-111-11-112i−2i−2i2i0000−3−3331-11-13−33−3000000−ii−i3i3i−ii3−i3000000000000
χ432-22-22-2-22-1-22-22-111-11-11−2i2i2i−2i000033−3−31-11-1−33−33000000i−i−i3i3−iii3−i3000000000000
χ442-22-22-2-22-1-22-22-111-11-11−2i2i2i−2i0000−3−3331-11-13−33−3000000i−ii3−i3−ii−i3i3000000000000
χ452-2-22-22-2222i−2i−2i2i-22-22-2-220000000000002i−2i−2i2i000000000000000000002-2002i−2i0000
χ462-2-22-22-2222i−2i−2i2i-22-22-2-220000000000002i−2i−2i2i00000000000000000000-2200−2i2i0000
χ472-2-22-22-222−2i2i2i−2i-22-22-2-22000000000000−2i2i2i−2i000000000000000000002-200−2i2i0000
χ482-2-22-22-222−2i2i2i−2i-22-22-2-22000000000000−2i2i2i−2i00000000000000000000-22002i−2i0000
χ492-2-2-2222-220000222-2-2-2-20000002-22-22-2000000002i−2i−2i2i0000000000000000002i−2i00
χ502-2-2-2222-220000222-2-2-2-20000002-22-22-200000000−2i2i2i−2i000000000000000000−2i2i00
χ512-2-2-2222-220000222-2-2-2-2000000-22-22-22000000002i−2i−2i2i000000000000000000−2i2i00
χ522-2-2-2222-220000222-2-2-2-2000000-22-22-2200000000−2i2i2i−2i0000000000000000002i−2i00
χ53444-4-44-4-440000-44-4-444-40000000000000000000000000000000000000000000000
χ54444-4-44-4-4-200002-222-2-22000000000000000023−23−232300000000000000000000000000
χ55444-4-44-4-4-200002-222-2-220000000000000000−232323−2300000000000000000000000000
χ5644-444-4-4-4400004-4-4-44-440000000000000000000000000000000000000000000000
χ5744-444-4-4-4-20000-2222-22-20000000023−23−23230000000000000000000000000000000000
χ5844-444-4-4-4-20000-2222-22-200000000−232323−230000000000000000000000000000000000
χ5944-4-4-4-444-24i4i−4i−4i22-2-2-222000000000000−2i−2i2i2i000000000000000000000000000000
χ6044-4-4-4-444-2−4i−4i4i4i22-2-2-2220000000000002i2i−2i−2i000000000000000000000000000000
χ614-444-4-44-4-2000022-222-2-200004-40000000000-2-22200000000000000000000000000
χ624-444-4-44-4-2000022-222-2-20000-44000000000022-2-200000000000000000000000000
χ634-4-44-44-44-24i−4i−4i4i2-22-222-2000000000000−2i2i2i−2i000000000000000000000000000000
χ644-4-44-44-44-2−4i4i4i−4i2-22-222-20000000000002i−2i−2i2i000000000000000000000000000000
χ654-4-4-4444-4-20000-2-2-222220000004-4-22-220000000000000000000000000000000000
χ664-4-4-4444-4-20000-2-2-22222000000-442-22-20000000000000000000000000000000000

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