Finite Group Databasebeta

← Group #76533

Character table — Group #76533

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666444444441212121212121212121212124444441212121212121212222244444422
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-11111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-1-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-111-1-1-11
χ12111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-1-1111-1
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111-1-1-1-1-1-111-11
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-11-1
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1111-1
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11111-1-1-11
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
χ1922222222-12222-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-10000-2-2-1-1-1-11111000000000000
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
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111111100002-2-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1111111110000-2211-1-111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-111110000-22-1-11111-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1111100002-211-1-1-1-111000000000000
χ252222-2-2-2-2222-2-222-2-2-2-2200002i−2i2i−2i0000000022-2-20000002i−2i2i−2i0000000000000000
χ262222-2-2-2-2222-2-222-2-2-2-220000−2i2i−2i2i0000000022-2-2000000−2i2i−2i2i0000000000000000
χ272222-2-2-2-22-2-22222-2-2-2-2200002i−2i−2i2i00000000-2-2220000002i−2i−2i2i0000000000000000
χ282222-2-2-2-22-2-22222-2-2-2-220000−2i2i2i−2i00000000-2-222000000−2i2i2i−2i0000000000000000
χ292222-2-2-2-2-122-2-2-1-11111-100002i−2i2i−2i33−3−333−3−3-1-111000000−ii−ii−i3i3−i3i3000000000000
χ302222-2-2-2-2-122-2-2-1-11111-100002i−2i2i−2i−3−333−3−333-1-111000000−ii−iii3−i3i3−i3000000000000
χ312222-2-2-2-2-122-2-2-1-11111-10000−2i2i−2i2i33−3−333−3−3-1-111000000i−ii−ii3−i3i3−i3000000000000
χ322222-2-2-2-2-122-2-2-1-11111-10000−2i2i−2i2i−3−333−3−333-1-111000000i−ii−i−i3i3−i3i3000000000000
χ332222-2-2-2-2-1-2-222-1-11111-100002i−2i−2i2i33−3−3−3−33311-1-1000000−iii−i−i3i3i3−i3000000000000
χ342222-2-2-2-2-1-2-222-1-11111-100002i−2i−2i2i−3−33333−3−311-1-1000000−iii−ii3−i3−i3i3000000000000
χ352222-2-2-2-2-1-2-222-1-11111-10000−2i2i2i−2i33−3−3−3−33311-1-1000000i−i−iii3−i3−i3i3000000000000
χ362222-2-2-2-2-1-2-222-1-11111-10000−2i2i2i−2i−3−33333−3−311-1-1000000i−i−ii−i3i3i3−i3000000000000
χ3722-2-222-2-2200002-222-2-2-2002-2000000002-22-200002i2i−2i−2i0000000000000000002i−2i00
χ3822-2-222-2-2200002-222-2-2-2002-2000000002-22-20000−2i−2i2i2i000000000000000000−2i2i00
χ3922-2-222-2-2200002-222-2-2-200-2200000000-22-2200002i2i−2i−2i000000000000000000−2i2i00
χ4022-2-222-2-2200002-222-2-2-200-2200000000-22-220000−2i−2i2i2i0000000000000000002i−2i00
χ412-22-22-22-220000-222-22-2-22-20000002-22-2000000002i−2i2i−2i00000000000000002i−2i0000
χ422-22-22-22-220000-222-22-2-22-20000002-22-200000000−2i2i−2i2i0000000000000000−2i2i0000
χ432-22-22-22-220000-222-22-2-2-22000000-22-22000000002i−2i2i−2i0000000000000000−2i2i0000
χ442-22-22-22-220000-222-22-2-2-22000000-22-2200000000−2i2i−2i2i00000000000000002i−2i0000
χ452-2-222-2-2222-22-2-2-22-2-22200000000000000002-22-22-2-22000000000000002-2000000
χ462-2-222-2-2222-22-2-2-22-2-22200000000000000002-22-2-222-200000000000000-22000000
χ472-2-222-2-222-22-22-2-22-2-2220000000000000000-22-222-2-2200000000000000-22000000
χ482-2-222-2-222-22-22-2-22-2-2220000000000000000-22-22-222-2000000000000002-2000000
χ492-2-22-222-222-2-22-2-2-222-2200000000000000002-2-22000000000000002-22-200000000
χ502-2-22-222-222-2-22-2-2-222-2200000000000000002-2-2200000000000000-22-2200000000
χ512-2-22-222-22-222-2-2-2-222-220000000000000000-222-2000000000000002-2-2200000000
χ522-2-22-222-22-222-2-2-2-222-220000000000000000-222-200000000000000-222-200000000
χ5344-4-444-4-4-20000-22-2-2222004-400000000-22-22000000000000000000000000000000
χ5444-4-444-4-4-20000-22-2-222200-44000000002-22-2000000000000000000000000000000
χ5544-4-4-4-444400004-4-4-444-40000000000000000000000000000000000000000000000
χ5644-4-4-4-444-20000-2222-2-2200000000000023−23−2323000000000000000000000000000000
χ5744-4-4-4-444-20000-2222-2-22000000000000−232323−23000000000000000000000000000000
χ584-44-44-44-4-200002-2-22-2224-4000000-22-220000000000000000000000000000000000
χ594-44-44-44-4-200002-2-22-222-440000002-22-20000000000000000000000000000000000
χ604-44-4-44-4440000-44-44-44-40000000000000000000000000000000000000000000000
χ614-44-4-44-44-200002-22-22-220000000023−23−23230000000000000000000000000000000000
χ624-44-4-44-44-200002-22-22-2200000000−232323−230000000000000000000000000000000000
χ634-4-444-4-44-24-44-422-222-2-20000000000000000-22-2200000000000000000000000000
χ644-4-444-4-44-2-44-4422-222-2-200000000000000002-22-200000000000000000000000000
χ654-4-44-444-4-24-4-44222-2-22-20000000000000000-222-200000000000000000000000000
χ664-4-44-444-4-2-444-4222-2-22-200000000000000002-2-2200000000000000000000000000

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