Finite Group Databasebeta

← Group #70210

Character table — Group #70210

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
χ15222-2-22-2-220000222-2-2-2-2−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i2000000000000002-2−i2−i2i2i20000
χ16222-2-22-2-220000222-2-2-2-2−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i200000000000000-22i2i2−i2−i20000
χ17222-2-22-2-220000222-2-2-2-2i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i2000000000000002-2i2i2−i2−i20000
χ18222-2-22-2-220000222-2-2-2-2i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i200000000000000-22−i2−i2i2i20000
χ1922-22-2-22-2200002-2-222-2-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i20000000000002-200−i2i2−i2i20000
χ2022-22-2-22-2200002-2-222-2-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i2000000000000-2200i2−i2i2−i20000
χ2122-22-2-22-2200002-2-222-2-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i20000000000002-200i2−i2i2−i20000
χ2222-22-2-22-2200002-2-222-2-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000-2200−i2i2−i2i20000
χ2322-2-22-2-2222-22-22-2-2-2-2222-2-222-2-2222-2-2-2-222000000000000000000000000
χ2422-2-22-2-2222-22-22-2-2-2-222-222-22-2-22-2-22222-2-2000000000000000000000000
χ2522-2-22-2-222-22-222-2-2-2-2220000-222-20000000000000000000000002-2-220000
χ2622-2-22-2-222-22-222-2-2-2-2220000-222-2000000000000000000000000-222-20000
χ2722-2-22-2-22-12-22-2-11111-1-12-2-22-111-1-1-11111-1-10000−i3−i3i3i3−i3−i3i3i3000000000000
χ2822-2-22-2-22-12-22-2-11111-1-12-2-22-111-1-1-11111-1-10000i3i3−i3−i3i3i3−i3−i3000000000000
χ2922-2-22-2-22-12-22-2-11111-1-1-222-2-111-111-1-1-1-1110000−i3−i3i3i3i3i3−i3−i3000000000000
χ3022-2-22-2-22-12-22-2-11111-1-1-222-2-111-111-1-1-1-1110000i3i3−i3−i3−i3−i3i3i3000000000000
χ312-222-2-2-22222-2-2-22-22-22-2000022-2-200000000002i−2i00002i−2i2i−2i000000000000
χ322-222-2-2-22222-2-2-22-22-22-2000022-2-20000000000−2i2i0000−2i2i−2i2i000000000000
χ332-222-2-2-222-2-222-22-22-22-20000-2-2220000000000000000000000000000002-2
χ342-222-2-2-222-2-222-22-22-22-20000-2-222000000000000000000000000000000-22
χ352-222-2-2-22-122-2-21-11-11-110000-1-1113−33−33−33−3002i−2i−i3i3−i3i3−ii−ii000000000000
χ362-222-2-2-22-122-2-21-11-11-110000-1-1113−33−33−33−300−2i2ii3−i3i3−i3i−ii−i000000000000
χ372-222-2-2-22-122-2-21-11-11-110000-1-111−33−33−33−33002i−2ii3−i3i3−i3−ii−ii000000000000
χ382-222-2-2-22-122-2-21-11-11-110000-1-111−33−33−33−3300−2i2i−i3i3−i3i3i−ii−i000000000000
χ392-2-2-2-222222-2-22-2-22-222-200002-22-2000000002-2002-2-220000000000000000
χ402-2-2-2-222222-2-22-2-22-222-200002-22-200000000-2200-222-20000000000000000
χ412-2-2-2-22222-222-2-2-22-222-20000-22-2200000000000000000000000000002-200
χ422-2-2-2-22222-222-2-2-22-222-20000-22-220000000000000000000000000000-2200
χ432-2-2-2-2222-12-2-2211-11-1-110000-11-113−3−33−333−32-200-111-13−3−33000000000000
χ442-2-2-2-2222-12-2-2211-11-1-110000-11-113−3−33−333−3-22001-1-11−333−3000000000000
χ452-2-2-2-2222-12-2-2211-11-1-110000-11-11−333−33−3−332-200-111-1−333−3000000000000
χ462-2-2-2-2222-12-2-2211-11-1-110000-11-11−333−33−3−33-22001-1-113−3−33000000000000
χ4744444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ48444-4-44-4-4-20000-2-2-22222−2i2−2i22i22i20000i2i2i2i2−i2−i2−i2−i2000000000000000000000000
χ49444-4-44-4-4-20000-2-2-222222i22i2−2i2−2i20000−i2−i2−i2−i2i2i2i2i2000000000000000000000000
χ5044-44-4-44-4-20000-222-2-222−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ5144-44-4-44-4-20000-222-2-2222i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ5244-4-44-4-44-2-44-44-22222-2-200002-2-2200000000000000000000000000000000
χ534-444-4-4-44-2-4-4442-22-22-22000022-2-200000000000000000000000000000000
χ544-44-44-44-440000-44-4-44-440000000000000000000000000000000000000000
χ554-44-44-44-4-200002-222-22-200000000i6−i6i6−i6−i6i6−i6i6000000000000000000000000
χ564-44-44-44-4-200002-222-22-200000000−i6i6−i6i6i6−i6i6−i6000000000000000000000000
χ574-4-4444-4-440000-4-444-4-440000000000000000000000000000000000000000
χ584-4-4444-4-4-2000022-2-222-200000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ594-4-4444-4-4-2000022-2-222-200000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ604-4-4-4-4444-2-444-422-22-2-2200002-22-200000000000000000000000000000000

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