Finite Group Databasebeta

← Group #72056

Character table — Group #72056

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order1222222234444666666688881212121224242424242424242244666612121212444488882244
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
χ15222-22-2-2-220000222-2-2-2-2−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i2000000000000002-2−i2−i2i2i20000
χ16222-22-2-2-220000222-2-2-2-2−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i200000000000000-22i2i2−i2−i20000
χ17222-22-2-2-220000222-2-2-2-2i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i2000000000000002-2i2i2−i2−i20000
χ18222-22-2-2-220000222-2-2-2-2i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i200000000000000-22−i2−i2i2i20000
χ1922-22-22-2-2200002-2-222-2-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i20000000000002-200−i2i2−i2i20000
χ2022-22-22-2-2200002-2-222-2-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i2000000000000-2200i2−i2i2−i20000
χ2122-22-22-2-2200002-2-222-2-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i20000000000002-200i2−i2i2−i20000
χ2222-22-22-2-2200002-2-222-2-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000-2200−i2i2−i2i20000
χ2322-2-2-2-22222-22-22-2-2-2-2222-2-222-2-2222-2-2-2-222000000000000000000000000
χ2422-2-2-2-22222-22-22-2-2-2-222-222-22-2-22-2-22222-2-2000000000000000000000000
χ2522-2-2-2-2222-22-222-2-2-2-2220000-222-20000000000000000000000002-2-220000
χ2622-2-2-2-2222-22-222-2-2-2-2220000-222-2000000000000000000000000-222-20000
χ2722-2-2-2-222-12-22-2-11111-1-12-2-22-111-1-1-11111-1-10000−i3−i3i3i3−i3−i3i3i3000000000000
χ2822-2-2-2-222-12-22-2-11111-1-12-2-22-111-1-1-11111-1-10000i3i3−i3−i3i3i3−i3−i3000000000000
χ2922-2-2-2-222-12-22-2-11111-1-1-222-2-111-111-1-1-1-1110000−i3−i3i3i3i3i3−i3−i3000000000000
χ3022-2-2-2-222-12-22-2-11111-1-1-222-2-111-111-1-1-1-1110000i3i3−i3−i3−i3−i3i3i3000000000000
χ312-222-2-22-2222-2-2-22-22-2-22000022-2-20000000000000000000000000000002i−2i
χ322-222-2-22-2222-2-2-22-22-2-22000022-2-2000000000000000000000000000000−2i2i
χ332-222-2-22-22-2-222-22-22-2-220000-2-22200000000002-200002-22-2000000000000
χ342-222-2-22-22-2-222-22-22-2-220000-2-2220000000000-220000-22-22000000000000
χ352-222-2-22-2-1-2-2221-11-111-1000011-1-1−i3i3−i3i3−i3i3−i3i3002-2−i3i3−i3i3-11-11000000000000
χ362-222-2-22-2-1-2-2221-11-111-1000011-1-1−i3i3−i3i3−i3i3−i3i300-22i3−i3i3−i31-11-1000000000000
χ372-222-2-22-2-1-2-2221-11-111-1000011-1-1i3−i3i3−i3i3−i3i3−i3002-2i3−i3i3−i3-11-11000000000000
χ382-222-2-22-2-1-2-2221-11-111-1000011-1-1i3−i3i3−i3i3−i3i3−i300-22−i3i3−i3i31-11-1000000000000
χ392-2-2-2222-222-2-22-2-22-22-2200002-22-200000000000000000000000000002-200
χ402-2-2-2222-222-2-22-2-22-22-2200002-22-20000000000000000000000000000-2200
χ412-2-2-2222-22-222-2-2-22-22-220000-22-22000000002-2002-2-220000000000000000
χ422-2-2-2222-22-222-2-2-22-22-220000-22-2200000000-2200-222-20000000000000000
χ432-2-2-2222-2-1-222-211-11-11-100001-11-1−i3i3i3−i3i3−i3−i3i32-200-111-1−i3i3i3−i3000000000000
χ442-2-2-2222-2-1-222-211-11-11-100001-11-1−i3i3i3−i3i3−i3−i3i3-22001-1-11i3−i3−i3i3000000000000
χ452-2-2-2222-2-1-222-211-11-11-100001-11-1i3−i3−i3i3−i3i3i3−i32-200-111-1i3−i3−i3i3000000000000
χ462-2-2-2222-2-1-222-211-11-11-100001-11-1i3−i3−i3i3−i3i3i3−i3-22001-1-11−i3i3i3−i3000000000000
χ4744444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ48444-44-4-4-4-20000-2-2-22222−2i2−2i22i22i20000i2i2i2i2−i2−i2−i2−i2000000000000000000000000
χ49444-44-4-4-4-20000-2-2-222222i22i2−2i2−2i20000−i2−i2−i2−i2i2i2i2i2000000000000000000000000
χ5044-44-44-4-4-20000-222-2-222−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ5144-44-44-4-4-20000-222-2-2222i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ5244-4-4-4-444-2-44-44-22222-2-200002-2-2200000000000000000000000000000000
χ534-444-4-44-4-244-4-42-22-222-20000-2-22200000000000000000000000000000000
χ544-44-4-44-4440000-44-4-444-40000000000000000000000000000000000000000
χ554-44-4-44-44-200002-222-2-22000000006−66−6−66−66000000000000000000000000
χ564-44-4-44-44-200002-222-2-2200000000−66−666−66−6000000000000000000000000
χ574-4-444-4-4440000-4-444-44-40000000000000000000000000000000000000000
χ584-4-444-4-44-2000022-2-22-22000000006−6−666−6−66000000000000000000000000
χ594-4-444-4-44-2000022-2-22-2200000000−666−6−666−6000000000000000000000000
χ604-4-4-4444-4-24-4-4422-22-22-20000-22-2200000000000000000000000000000000

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