Finite Group Databasebeta

← Group #75128

Character table — Group #75128

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666444444441212121212121212121212124444441212121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-11-1
χ10111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-111-1-111-11
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-111-1-11-1
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-111-1-111-1-1-11
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1111-1
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-111-1-1-1-1111-1
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-11111-1-1-11
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
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000-2-2-1-111-1-111000000000000
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
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111100002211-1-111-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-1111100002-2-1-1-1-11111000000000000
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
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-111110000-221111-1-1-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-100002-211-1-1-1-111000000000000
χ252222-2-2-2-2222-2-2222-2-2-2-20000000022-2-20000000022-2-200000000002-20000000000
χ262222-2-2-2-2222-2-2222-2-2-2-20000000022-2-200000000-2-2220000000000-220000000000
χ272222-2-2-2-22-2-222222-2-2-2-200000000-2-2220000000022-2-20000000000-220000000000
χ282222-2-2-2-22-2-222222-2-2-2-200000000-2-22200000000-2-22200000000002-20000000000
χ292-22-22-22-2200002-2-22-22-200002i−2i0000002i2i−2i−2i00002i−2i2i−2i00000000000000002-20000
χ302-22-22-22-2200002-2-22-22-200002i−2i0000002i2i−2i−2i0000−2i2i−2i2i0000000000000000-220000
χ312-22-22-22-2200002-2-22-22-20000−2i2i000000−2i−2i2i2i00002i−2i2i−2i0000000000000000-220000
χ322-22-22-22-2200002-2-22-22-20000−2i2i000000−2i−2i2i2i0000−2i2i−2i2i00000000000000002-20000
χ332-22-2-22-22200002-2-2-22-220000002i−2i000000002i2i−2i−2i2i−2i−2i2i0000000000000000002-200
χ342-22-2-22-22200002-2-2-22-220000002i−2i000000002i2i−2i−2i−2i2i2i−2i000000000000000000-2200
χ352-22-2-22-22200002-2-2-22-22000000−2i2i00000000−2i−2i2i2i2i−2i−2i2i000000000000000000-2200
χ362-22-2-22-22200002-2-2-22-22000000−2i2i00000000−2i−2i2i2i−2i2i2i−2i0000000000000000002-200
χ372-2-222-2-2222i−2i2i−2i-22-22-2-22000000002i−2i2i−2i0000000000000000000000002i−2i2-2000000
χ382-2-222-2-2222i−2i2i−2i-22-22-2-22000000002i−2i2i−2i000000000000000000000000−2i2i-22000000
χ392-2-222-2-222−2i2i−2i2i-22-22-2-2200000000−2i2i−2i2i0000000000000000000000002i−2i-22000000
χ402-2-222-2-222−2i2i−2i2i-22-22-2-2200000000−2i2i−2i2i000000000000000000000000−2i2i2-2000000
χ412-2-22-222-222i−2i−2i2i-22-2-222-22i−2i2-200002i−2i−2i2i000000000000002i−2i002-200000000000000
χ422-2-22-222-222i−2i−2i2i-22-2-222-2−2i2i-2200002i−2i−2i2i00000000000000−2i2i00-2200000000000000
χ432-2-22-222-22−2i2i2i−2i-22-2-222-22i−2i-220000−2i2i2i−2i000000000000002i−2i00-2200000000000000
χ442-2-22-222-22−2i2i2i−2i-22-2-222-2−2i2i2-20000−2i2i2i−2i00000000000000−2i2i002-200000000000000
χ452-2-22-222-2-12i−2i−2i2i1-111-1-112i−2i2-20000−iii−i3−33−3−i3i3−i3i3000000−ii−i3i3-113−3000000000000
χ462-2-22-222-2-12i−2i−2i2i1-111-1-112i−2i2-20000−iii−i−33−33i3−i3i3−i3000000−iii3−i3-11−33000000000000
χ472-2-22-222-2-12i−2i−2i2i1-111-1-11−2i2i-220000−iii−i3−33−3−i3i3−i3i3000000i−ii3−i31-1−33000000000000
χ482-2-22-222-2-12i−2i−2i2i1-111-1-11−2i2i-220000−iii−i−33−33i3−i3i3−i3000000i−i−i3i31-13−3000000000000
χ492-2-22-222-2-1−2i2i2i−2i1-111-1-112i−2i-220000i−i−ii3−33−3i3−i3i3−i3000000−ii−i3i31-1−33000000000000
χ502-2-22-222-2-1−2i2i2i−2i1-111-1-112i−2i-220000i−i−ii−33−33−i3i3−i3i3000000−iii3−i31-13−3000000000000
χ512-2-22-222-2-1−2i2i2i−2i1-111-1-11−2i2i2-20000i−i−ii3−33−3i3−i3i3−i3000000i−ii3−i3-113−3000000000000
χ522-2-22-222-2-1−2i2i2i−2i1-111-1-11−2i2i2-20000i−i−ii−33−33−i3i3−i3i3000000i−i−i3i3-11−33000000000000
χ534444-4-4-4-4-244-4-4-2-2-2222200000000-2-2220000000000000000000000000000000000
χ544444-4-4-4-4-2-4-444-2-2-222220000000022-2-20000000000000000000000000000000000
χ5544-4-444-4-440000-4-4444-4-40000000000000000000000000000000000000000000000
χ5644-4-444-4-4-2000022-2-2-222000000000000000023−23−232300000000000000000000000000
χ5744-4-444-4-4-2000022-2-2-2220000000000000000−232323−2300000000000000000000000000
χ5844-4-4-4-44440000-4-44-4-4440000000000000000000000000000000000000000000000
χ5944-4-4-4-444-2000022-222-2-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ6044-4-4-4-444-2000022-222-2-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ614-44-44-44-4-20000-222-22-2200004i−4i000000−2i−2i2i2i000000000000000000000000000000
χ624-44-44-44-4-20000-222-22-220000−4i4i0000002i2i−2i−2i000000000000000000000000000000
χ634-44-4-44-44-20000-2222-22-20000004i−4i00000000−2i−2i2i2i00000000000000000000000000
χ644-44-4-44-44-20000-2222-22-2000000−4i4i000000002i2i−2i−2i00000000000000000000000000
χ654-4-444-4-44-24i−4i4i−4i2-22-222-200000000−2i2i−2i2i0000000000000000000000000000000000
χ664-4-444-4-44-2−4i4i−4i4i2-22-222-2000000002i−2i2i−2i0000000000000000000000000000000000

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