Finite Group Databasebeta

← Group #76020

Character table — Group #76020

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666444444441212121212121212121212124444441212121212121212222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111
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
χ9111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-111-1-111-11
χ10111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-111-1-11-1
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-11111-1-1-1-11-1
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-11111-11
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111111-1
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1111111-1-1-1-1-11
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-111-1-111-1-1-11
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1111-1
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
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000-2-2-1-111-1-111000000000000
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
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-211111111-1-1-1-10000-22-1-11111-1-1000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-1111100002-2-1-1-1-11111000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-100002-211-1-1-1-111000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-111110000-221111-1-1-1-1000000000000
χ252222-2-2-2-2200002-2-2-2-22200002-2000000000022-2-22i2i−2i−2i0000000000000000002i−2i00
χ262222-2-2-2-2200002-2-2-2-22200002-2000000000022-2-2−2i−2i2i2i000000000000000000−2i2i00
χ272222-2-2-2-2200002-2-2-2-2220000-220000000000-2-2222i2i−2i−2i000000000000000000−2i2i00
χ282222-2-2-2-2200002-2-2-2-2220000-220000000000-2-222−2i−2i2i2i0000000000000000002i−2i00
χ2922-2-22-2-22222-2-222-22-2-2-20000000022-2-2000000000000000000000000002i−2i2i−2i0000
χ3022-2-22-2-22222-2-222-22-2-2-20000000022-2-200000000000000000000000000−2i2i−2i2i0000
χ3122-2-22-2-222-2-22222-22-2-2-200000000-2-222000000000000000000000000002i−2i−2i2i0000
χ3222-2-22-2-222-2-22222-22-2-2-200000000-2-22200000000000000000000000000−2i2i2i−2i0000
χ332-22-22-22-222i−2i2i−2i-22-2-222-22-22i−2i00002i−2i2i−2i000000000000002-2002i−2i00000000000000
χ342-22-22-22-222i−2i2i−2i-22-2-222-2-22−2i2i00002i−2i2i−2i00000000000000-2200−2i2i00000000000000
χ352-22-22-22-22−2i2i−2i2i-22-2-222-22-2−2i2i0000−2i2i−2i2i000000000000002-200−2i2i00000000000000
χ362-22-22-22-22−2i2i−2i2i-22-2-222-2-222i−2i0000−2i2i−2i2i00000000000000-22002i−2i00000000000000
χ372-22-22-22-2-12i−2i2i−2i1-111-1-112-22i−2i0000−ii−ii−i3−i3i3i33−33−3000000-11−i3i3−ii3−3000000000000
χ382-22-22-22-2-12i−2i2i−2i1-111-1-112-22i−2i0000−ii−iii3i3−i3−i3−33−33000000-11i3−i3−ii−33000000000000
χ392-22-22-22-2-12i−2i2i−2i1-111-1-11-22−2i2i0000−ii−ii−i3−i3i3i33−33−30000001-1i3−i3i−i−33000000000000
χ402-22-22-22-2-12i−2i2i−2i1-111-1-11-22−2i2i0000−ii−iii3i3−i3−i3−33−330000001-1−i3i3i−i3−3000000000000
χ412-22-22-22-2-1−2i2i−2i2i1-111-1-112-2−2i2i0000i−ii−i−i3−i3i3i3−33−33000000-11−i3i3i−i−33000000000000
χ422-22-22-22-2-1−2i2i−2i2i1-111-1-112-2−2i2i0000i−ii−ii3i3−i3−i33−33−3000000-11i3−i3i−i3−3000000000000
χ432-22-22-22-2-1−2i2i−2i2i1-111-1-11-222i−2i0000i−ii−i−i3−i3i3i3−33−330000001-1i3−i3−ii3−3000000000000
χ442-22-22-22-2-1−2i2i−2i2i1-111-1-11-222i−2i0000i−ii−ii3i3−i3−i33−33−30000001-1−i3i3−ii−33000000000000
χ452-2-2222-2-222i−2i−2i2i-222-2-2-22000000002i−2i−2i2i000000002i−2i2i−2i00000000002-20000000000
χ462-2-2222-2-222i−2i−2i2i-222-2-2-22000000002i−2i−2i2i00000000−2i2i−2i2i0000000000-220000000000
χ472-2-2222-2-22−2i2i2i−2i-222-2-2-2200000000−2i2i2i−2i000000002i−2i2i−2i0000000000-220000000000
χ482-2-2222-2-22−2i2i2i−2i-222-2-2-2200000000−2i2i2i−2i00000000−2i2i−2i2i00000000002-20000000000
χ492-2-22-2-22220000-2-2-222-220000002-200002-22-200002-2-220000000000002-200000000
χ502-2-22-2-22220000-2-2-222-220000002-200002-22-20000-222-2000000000000-2200000000
χ512-2-22-2-22220000-2-2-222-22000000-220000-22-2200002-2-22000000000000-2200000000
χ522-2-22-2-22220000-2-2-222-22000000-220000-22-220000-222-20000000000002-200000000
χ534444-4-4-4-4-20000-22222-2-200004-40000000000-2-22200000000000000000000000000
χ544444-4-4-4-4-20000-22222-2-20000-44000000000022-2-200000000000000000000000000
χ5544-4-44-4-44-244-4-4-2-22-222200000000-2-2220000000000000000000000000000000000
χ5644-4-44-4-44-2-4-444-2-22-22220000000022-2-20000000000000000000000000000000000
χ5744-4-4-444-4400004-44-44-4-40000000000000000000000000000000000000000000000
χ5844-4-4-444-4-20000-22-22-222000000000000−2i32i32i3−2i3000000000000000000000000000000
χ5944-4-4-444-4-20000-22-22-2220000000000002i3−2i3−2i32i3000000000000000000000000000000
χ604-44-4-44-4440000-4-444-44-40000000000000000000000000000000000000000000000
χ614-44-4-44-44-2000022-2-22-22000000000000000023−23−232300000000000000000000000000
χ624-44-4-44-44-2000022-2-22-220000000000000000−232323−2300000000000000000000000000
χ634-4-4444-4-4-24i−4i−4i4i2-2-2222-200000000−2i2i2i−2i0000000000000000000000000000000000
χ644-4-4444-4-4-2−4i4i4i−4i2-2-2222-2000000002i−2i−2i2i0000000000000000000000000000000000
χ654-4-44-4-444-20000222-2-22-20000004-40000-22-22000000000000000000000000000000
χ664-4-44-4-444-20000222-2-22-2000000-4400002-22-2000000000000000000000000000000

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