Finite Group Databasebeta

← Group #76528

Character table — Group #76528

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
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-111-1-1-1-1111-1
χ10111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-11
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-1-111-1-111-1-111-1-1-11
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1111-1
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1111111-1-1-1-1-1-111-11
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1111111-1-11-1
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-11111-1-111-1-1-1-111-1-11-1
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-111-11
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
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-211111111-1-1-1-100002-2-1-1-1-11111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-111110000-22-1-11111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-10000-221111-1-1-1-1000000000000
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
χ252222-2-2-2-2222-2-222-22-2-2-20000000022-2-200000000000000000000002-22-200000000
χ262222-2-2-2-2222-2-222-22-2-2-20000000022-2-20000000000000000000000-22-2200000000
χ272222-2-2-2-22-2-22222-22-2-2-200000000-2-22200000000000000000000002-2-2200000000
χ282222-2-2-2-22-2-22222-22-2-2-200000000-2-2220000000000000000000000-222-200000000
χ2922-2-222-2-2200002-2-2-2-22200002-2000000000022-2-22i2i−2i−2i0000000000000000002i−2i00
χ3022-2-222-2-2200002-2-2-2-22200002-2000000000022-2-2−2i−2i2i2i000000000000000000−2i2i00
χ3122-2-222-2-2200002-2-2-2-2220000-220000000000-2-2222i2i−2i−2i000000000000000000−2i2i00
χ3222-2-222-2-2200002-2-2-2-2220000-220000000000-2-222−2i−2i2i2i0000000000000000002i−2i00
χ332-22-22-2-2222i−2i2i−2i-22-2-222-2000000002i−2i2i−2i000000002i−2i2i−2i000000000000002-2000000
χ342-22-22-2-2222i−2i2i−2i-22-2-222-2000000002i−2i2i−2i00000000−2i2i−2i2i00000000000000-22000000
χ352-22-22-2-222−2i2i−2i2i-22-2-222-200000000−2i2i−2i2i000000002i−2i2i−2i00000000000000-22000000
χ362-22-22-2-222−2i2i−2i2i-22-2-222-200000000−2i2i−2i2i00000000−2i2i−2i2i000000000000002-2000000
χ372-22-2-222-222i−2i−2i2i-222-2-2-222i−2i2-200002i−2i−2i2i000000000000002i−2i002-200000000000000
χ382-22-2-222-222i−2i−2i2i-222-2-2-22−2i2i-2200002i−2i−2i2i00000000000000−2i2i00-2200000000000000
χ392-22-2-222-22−2i2i2i−2i-222-2-2-222i−2i-220000−2i2i2i−2i000000000000002i−2i00-2200000000000000
χ402-22-2-222-22−2i2i2i−2i-222-2-2-22−2i2i2-20000−2i2i2i−2i00000000000000−2i2i002-200000000000000
χ412-22-2-222-2-12i−2i−2i2i1-1-1111-12i−2i2-20000−iii−i33−3−3−i3i3−i3i3000000−ii3−3-11−i3i3000000000000
χ422-22-2-222-2-12i−2i−2i2i1-1-1111-12i−2i2-20000−iii−i−3−333i3−i3i3−i3000000−ii−33-11i3−i3000000000000
χ432-22-2-222-2-12i−2i−2i2i1-1-1111-1−2i2i-220000−iii−i33−3−3−i3i3−i3i3000000i−i−331-1i3−i3000000000000
χ442-22-2-222-2-12i−2i−2i2i1-1-1111-1−2i2i-220000−iii−i−3−333i3−i3i3−i3000000i−i3−31-1−i3i3000000000000
χ452-22-2-222-2-1−2i2i2i−2i1-1-1111-12i−2i-220000i−i−ii33−3−3i3−i3i3−i3000000−ii−331-1−i3i3000000000000
χ462-22-2-222-2-1−2i2i2i−2i1-1-1111-12i−2i-220000i−i−ii−3−333−i3i3−i3i3000000−ii3−31-1i3−i3000000000000
χ472-22-2-222-2-1−2i2i2i−2i1-1-1111-1−2i2i2-20000i−i−ii33−3−3i3−i3i3−i3000000i−i3−3-11i3−i3000000000000
χ482-22-2-222-2-1−2i2i2i−2i1-1-1111-1−2i2i2-20000i−i−ii−3−333−i3i3−i3i3000000i−i−33-11−i3i3000000000000
χ492-2-222-22-220000-2-222-22-20000002i−2i00002i−2i2i−2i00002-2-2200000000000000002i−2i0000
χ502-2-222-22-220000-2-222-22-20000002i−2i00002i−2i2i−2i0000-222-20000000000000000−2i2i0000
χ512-2-222-22-220000-2-222-22-2000000−2i2i0000−2i2i−2i2i00002-2-220000000000000000−2i2i0000
χ522-2-222-22-220000-2-222-22-2000000−2i2i0000−2i2i−2i2i0000-222-200000000000000002i−2i0000
χ534444-4-4-4-4-244-4-4-2-22-222200000000-2-2220000000000000000000000000000000000
χ544444-4-4-4-4-2-4-444-2-22-22220000000022-2-20000000000000000000000000000000000
χ5544-4-444-4-4-20000-22222-2-200004-40000000000-2-22200000000000000000000000000
χ5644-4-444-4-4-20000-22222-2-20000-44000000000022-2-200000000000000000000000000
χ5744-4-4-4-444400004-44-44-4-40000000000000000000000000000000000000000000000
χ5844-4-4-4-444-20000-22-22-222000000000000−2i32i32i3−2i3000000000000000000000000000000
χ5944-4-4-4-444-20000-22-22-2220000000000002i3−2i3−2i32i3000000000000000000000000000000
χ604-44-44-4-44-24i−4i4i−4i2-222-2-2200000000−2i2i−2i2i0000000000000000000000000000000000
χ614-44-44-4-44-2−4i4i−4i4i2-222-2-22000000002i−2i2i−2i0000000000000000000000000000000000
χ624-4-444-44-4-2000022-2-22-220000004i−4i0000−2i2i−2i2i000000000000000000000000000000
χ634-4-444-44-4-2000022-2-22-22000000−4i4i00002i−2i2i−2i000000000000000000000000000000
χ644-4-44-44-4440000-4-4-444-440000000000000000000000000000000000000000000000
χ654-4-44-44-44-20000222-2-22-20000000000000000−2i32i32i3−2i300000000000000000000000000
χ664-4-44-44-44-20000222-2-22-200000000000000002i3−2i3−2i32i300000000000000000000000000

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