Finite Group Databasebeta

← Group #74688

Character table — Group #74688

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666222244446666121212121212121244444466121212121212222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-1-111-1-11-1
χ10111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-111-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-1-1-11111-11
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-1
χ13111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-11111-1-1-1-1-11
χ14111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-111111-1
χ15111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-111-1-1111-1
χ16111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-111-1-1-11
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
χ1822222222-12222-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-111110000-2-2-1-1-1-11111000000000000
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
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-111110000221111-1-1-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111111100002-2-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-10000-22-1-11111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-1111111110000-2211-1-111-1-1000000000000
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
χ2522-2-222-2-222i2i−2i−2i22-22-2-2-20000000000002i2i−2i−2i00000000000000000000002-22i−2i0000
χ2622-2-222-2-222i2i−2i−2i22-22-2-2-20000000000002i2i−2i−2i0000000000000000000000-22−2i2i0000
χ2722-2-222-2-22−2i−2i2i2i22-22-2-2-2000000000000−2i−2i2i2i00000000000000000000002-2−2i2i0000
χ2822-2-222-2-22−2i−2i2i2i22-22-2-2-2000000000000−2i−2i2i2i0000000000000000000000-222i−2i0000
χ2922-2-2-2-222200002-2-2-22-22002-2000022-2-20000000022-2-20000000000002-200000000
χ3022-2-2-2-222200002-2-2-22-22002-2000022-2-200000000-2-222000000000000-2200000000
χ3122-2-2-2-222200002-2-2-22-2200-220000-2-2220000000022-2-2000000000000-2200000000
χ3222-2-2-2-222200002-2-2-22-2200-220000-2-22200000000-2-2220000000000002-200000000
χ332-22-22-22-222i−2i2i−2i-222-22-2-22-2002i−2i0000002i−2i2i−2i00000000002-22i−2i0000000000000000
χ342-22-22-22-222i−2i2i−2i-222-22-2-2-2200−2i2i0000002i−2i2i−2i0000000000-22−2i2i0000000000000000
χ352-22-22-22-22−2i2i−2i2i-222-22-2-22-200−2i2i000000−2i2i−2i2i00000000002-2−2i2i0000000000000000
χ362-22-22-22-22−2i2i−2i2i-222-22-2-2-22002i−2i000000−2i2i−2i2i0000000000-222i−2i0000000000000000
χ372-22-22-22-2-12i−2i2i−2i1-1-11-1112-2002i−2i00−i3i3−i3i3−ii−ii33−3−3000000-11−ii−i3i33−3000000000000
χ382-22-22-22-2-12i−2i2i−2i1-1-11-1112-2002i−2i00i3−i3i3−i3−ii−ii−3−333000000-11−iii3−i3−33000000000000
χ392-22-22-22-2-12i−2i2i−2i1-1-11-111-2200−2i2i00−i3i3−i3i3−ii−ii33−3−30000001-1i−ii3−i3−33000000000000
χ402-22-22-22-2-12i−2i2i−2i1-1-11-111-2200−2i2i00i3−i3i3−i3−ii−ii−3−3330000001-1i−i−i3i33−3000000000000
χ412-22-22-22-2-1−2i2i−2i2i1-1-11-1112-200−2i2i00−i3i3−i3i3i−ii−i−3−333000000-11i−i−i3i3−33000000000000
χ422-22-22-22-2-1−2i2i−2i2i1-1-11-1112-200−2i2i00i3−i3i3−i3i−ii−i33−3−3000000-11i−ii3−i33−3000000000000
χ432-22-22-22-2-1−2i2i−2i2i1-1-11-111-22002i−2i00−i3i3−i3i3i−ii−i−3−3330000001-1−iii3−i33−3000000000000
χ442-22-22-22-2-1−2i2i−2i2i1-1-11-111-22002i−2i00i3−i3i3−i3i−ii−i33−3−30000001-1−ii−i3i3−33000000000000
χ452-22-2-22-2220000-2-222-2-220000002-2000000002-22-22-22-20000000000000000002-200
χ462-22-2-22-2220000-2-222-2-220000002-2000000002-22-2-22-22000000000000000000-2200
χ472-22-2-22-2220000-2-222-2-22000000-2200000000-22-222-22-2000000000000000000-2200
χ482-22-2-22-2220000-2-222-2-22000000-2200000000-22-22-22-220000000000000000002-200
χ492-2-222-2-2222-2-22-22-2-2-2220000000000002-2-2200002-2-2200000000002-20000000000
χ502-2-222-2-2222-2-22-22-2-2-2220000000000002-2-220000-222-20000000000-220000000000
χ512-2-222-2-222-222-2-22-2-2-222000000000000-222-200002-2-220000000000-220000000000
χ522-2-222-2-222-222-2-22-2-2-222000000000000-222-20000-222-200000000002-20000000000
χ534444-4-4-4-4400004-44-4-44-40000000000000000000000000000000000000000000000
χ544444-4-4-4-4-20000-22-222-22000000000000000023−23−232300000000000000000000000000
χ554444-4-4-4-4-20000-22-222-220000000000000000−232323−2300000000000000000000000000
χ5644-4-444-4-4-24i4i−4i−4i-2-22-2222000000000000−2i−2i2i2i000000000000000000000000000000
χ5744-4-444-4-4-2−4i−4i4i4i-2-22-22220000000000002i2i−2i−2i000000000000000000000000000000
χ5844-4-4-4-444-20000-2222-22-2004-40000-2-2220000000000000000000000000000000000
χ5944-4-4-4-444-20000-2222-22-200-44000022-2-20000000000000000000000000000000000
χ604-44-4-44-44-2000022-2-222-20000004-400000000-22-2200000000000000000000000000
χ614-44-4-44-44-2000022-2-222-2000000-44000000002-22-200000000000000000000000000
χ624-4-444-4-44-24-4-442-2222-2-2000000000000-222-2000000000000000000000000000000
χ634-4-444-4-44-2-444-42-2222-2-20000000000002-2-22000000000000000000000000000000
χ644-4-44-444-440000-4-4-4444-40000000000000000000000000000000000000000000000
χ654-4-44-444-4-20000222-2-2-2200000000−2i32i32i3−2i30000000000000000000000000000000000
χ664-4-44-444-4-20000222-2-2-22000000002i3−2i3−2i32i30000000000000000000000000000000000

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