Finite Group Databasebeta

← Group #70620

Character table — Group #70620

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order12222222344446666666888812121212242424242424242444441212121212121212444488884444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222-2-2-2-222222220000-2-2-2-20000000000000000000022-2-200000000
χ10222222222-2-2-2-222222220000-2-2-2-200000000000000000000-2-22200000000
χ1122222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ1222222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ1322222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ1422222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ152222-2-2-2-222-22-222-2-2-22-222-2-22-2-222222-2-2-2-2000000000000000000000000
χ162222-2-2-2-222-22-222-2-2-22-2-2-2222-2-22-2-2-2-22222000000000000000000000000
χ172222-2-2-2-22-22-2222-2-2-22-20000-222-200000000000000000000000022-2-20000
χ182222-2-2-2-22-22-2222-2-2-22-20000-222-2000000000000000000000000-2-2220000
χ192222-2-2-2-2-12-22-2-1-1111-1122-2-2-111-1-1-1-1-11111000033−3−333−3−3000000000000
χ202222-2-2-2-2-12-22-2-1-1111-1122-2-2-111-1-1-1-1-111110000−3−333−3−333000000000000
χ212222-2-2-2-2-12-22-2-1-1111-11-2-222-111-11111-1-1-1-1000033−3−3−3−333000000000000
χ222222-2-2-2-2-12-22-2-1-1111-11-2-222-111-11111-1-1-1-10000−3−33333−3−3000000000000
χ2322-2-222-2-2200002-22-2-2-222−22−2000022−2−222−2−2000000000000002i−2i−i2i2−i2i20000
χ2422-2-222-2-2200002-22-2-2-222−22−2000022−2−222−2−200000000000000−2i2ii2−i2i2−i20000
χ2522-2-222-2-2200002-22-2-2-22−22−220000−2−222−2−222000000000000002i−2ii2−i2i2−i20000
χ2622-2-222-2-2200002-22-2-2-22−22−220000−2−222−2−22200000000000000−2i2i−i2i2−i2i20000
χ2722-2-2-2-222200002-2-222-2-22−2−22000022−2−2−2−2220000000000002i−2i00−i2i2i2−i20000
χ2822-2-2-2-222200002-2-222-2-22−2−22000022−2−2−2−222000000000000−2i2i00i2−i2−i2i20000
χ2922-2-2-2-222200002-2-222-2-2−222−20000−2−22222−2−20000000000002i−2i00i2−i2−i2i20000
χ3022-2-2-2-222200002-2-222-2-2−222−20000−2−22222−2−2000000000000−2i2i00−i2i2i2−i20000
χ312-2-222-2-2222-2-22-2-222-22-2000022-2-200000000000000000000000000002i−2i00
χ322-2-222-2-2222-2-22-2-222-22-2000022-2-20000000000000000000000000000−2i2i00
χ332-2-222-2-222-222-2-2-222-22-20000-2-222000000002i−2i002i−2i2i−2i0000000000000000
χ342-2-222-2-222-222-2-2-222-22-20000-2-22200000000−2i2i00−2i2i−2i2i0000000000000000
χ352-2-222-2-22-1-222-211-1-11-11000011-1-1−i3i3−i3i3−i3i3−i3i32i−2i00−ii−ii3−33−3000000000000
χ362-2-222-2-22-1-222-211-1-11-11000011-1-1−i3i3−i3i3−i3i3−i3i3−2i2i00i−ii−i−33−33000000000000
χ372-2-222-2-22-1-222-211-1-11-11000011-1-1i3−i3i3−i3i3−i3i3−i32i−2i00−ii−ii−33−33000000000000
χ382-2-222-2-22-1-222-211-1-11-11000011-1-1i3−i3i3−i3i3−i3i3−i3−2i2i00i−ii−i3−33−3000000000000
χ392-2-22-222-2222-2-2-2-2-2-222200002-22-20000000000000000000000000000002i−2i
χ402-2-22-222-2222-2-2-2-2-2-222200002-22-2000000000000000000000000000000−2i2i
χ412-2-22-222-22-2-222-2-2-2-22220000-22-2200000000002-200002-2-22000000000000
χ422-2-22-222-22-2-222-2-2-2-22220000-22-220000000000-220000-222-2000000000000
χ432-2-22-222-2-1-2-2221111-1-1-100001-11-1−i3i3−i3i3i3−i3i3−i3002-2−i3i3i3−i3-111-1000000000000
χ442-2-22-222-2-1-2-2221111-1-1-100001-11-1−i3i3−i3i3i3−i3i3−i300-22i3−i3−i3i31-1-11000000000000
χ452-2-22-222-2-1-2-2221111-1-1-100001-11-1i3−i3i3−i3−i3i3−i3i3002-2i3−i3−i3i3-111-1000000000000
χ462-2-22-222-2-1-2-2221111-1-1-100001-11-1i3−i3i3−i3−i3i3−i3i300-22−i3i3i3−i31-1-11000000000000
χ4744444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ484444-4-4-4-4-2-44-44-2-2222-2200002-2-2200000000000000000000000000000000
χ4944-4-444-4-4-20000-22-2222-222−2222−220000−2−222−2−222000000000000000000000000
χ5044-4-444-4-4-20000-22-2222-2−2222−2222000022−2−222−2−2000000000000000000000000
χ5144-4-4-4-444-20000-222-2-22222−22−22220000−2−22222−2−2000000000000000000000000
χ5244-4-4-4-444-20000-222-2-222−222222−22000022−2−2−2−222000000000000000000000000
χ534-44-44-44-440000-444-44-4-40000000000000000000000000000000000000000
χ544-44-44-44-4-200002-2-22-22200000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ554-44-44-44-4-200002-2-22-22200000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ564-44-4-44-4440000-44-44-4-440000000000000000000000000000000000000000
χ574-44-4-44-44-200002-22-222-200000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ584-44-4-44-44-200002-22-222-200000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ594-4-444-4-44-24-4-4422-2-22-220000-2-22200000000000000000000000000000000
χ604-4-44-444-4-244-4-42222-2-2-20000-22-2200000000000000000000000000000000

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