Finite Group Databasebeta

← Group #70204

Character table — Group #70204

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order1222222234444666666688881212121224242424242424242244666612121212224488882244
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
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
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
χ152222-2-2-2-220000222-2-2-2-2−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i2000000000000002i−2i22−2−20000
χ162222-2-2-2-220000222-2-2-2-2−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i200000000000000−2i2i−2−2220000
χ172222-2-2-2-220000222-2-2-2-2i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i2000000000000002i−2i−2−2220000
χ182222-2-2-2-220000222-2-2-2-2i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i200000000000000−2i2i22−2−20000
χ1922-2-22-22-2222-2-22-2-22-22-22i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ2022-2-22-22-2222-2-22-2-22-22-2−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ2122-2-22-22-22-2-2222-2-22-22-20000-2-2220000000000000000000000002-22-20000
χ2222-2-22-22-22-2-2222-2-22-22-20000-2-222000000000000000000000000-22-220000
χ2322-2-22-22-2-122-2-2-111-11-112i−2i2i−2i-1-111−i−iii−i−iii0000−i3−i3i3i333−3−3000000000000
χ2422-2-22-22-2-122-2-2-111-11-112i−2i2i−2i-1-111−i−iii−i−iii0000i3i3−i3−i3−3−333000000000000
χ2522-2-22-22-2-122-2-2-111-11-11−2i2i−2i2i-1-111ii−i−iii−i−i0000−i3−i3i3i3−3−333000000000000
χ2622-2-22-22-2-122-2-2-111-11-11−2i2i−2i2i-1-111ii−i−iii−i−i0000i3i3−i3−i333−3−3000000000000
χ2722-2-2-22-22200002-2-2-22-222−2−22000022−2−2−2−2220000000000002-2002−2−220000
χ2822-2-2-22-22200002-2-2-22-222−2−22000022−2−2−2−222000000000000-2200−222−20000
χ2922-2-2-22-22200002-2-2-22-22−222−20000−2−22222−2−20000000000002-200−222−20000
χ3022-2-2-22-22200002-2-2-22-22−222−20000−2−22222−2−2000000000000-22002−2−220000
χ312-22-2-222-222-22-2-22-2-2-22200002-2-2200000000002-200002-22-2000000000000
χ322-22-2-222-222-22-2-22-2-2-22200002-2-220000000000-220000-22-22000000000000
χ332-22-2-222-22-22-22-22-2-2-2220000-222-200000000000000000000000000002-200
χ342-22-2-222-22-22-22-22-2-2-2220000-222-20000000000000000000000000000-2200
χ352-22-2-222-2-12-22-21-1111-1-10000-111-1−i3i3−i3i3−i3i3−i3i3002-2−i3i3−i3i3-11-11000000000000
χ362-22-2-222-2-12-22-21-1111-1-10000-111-1−i3i3−i3i3−i3i3−i3i300-22i3−i3i3−i31-11-1000000000000
χ372-22-2-222-2-12-22-21-1111-1-10000-111-1i3−i3i3−i3i3−i3i3−i3002-2i3−i3i3−i3-11-11000000000000
χ382-22-2-222-2-12-22-21-1111-1-10000-111-1i3−i3i3−i3i3−i3i3−i300-22−i3i3−i3i31-11-1000000000000
χ392-2-22-2-22222-2-22-2-22-222-200002-22-2000000002-2002-2-220000000000000000
χ402-2-22-2-22222-2-22-2-22-222-200002-22-200000000-2200-222-20000000000000000
χ412-2-22-2-2222-222-2-2-22-222-20000-22-220000000000000000000000000000002-2
χ422-2-22-2-2222-222-2-2-22-222-20000-22-22000000000000000000000000000000-22
χ432-2-22-2-222-12-2-2211-11-1-110000-11-113−3−333−3−332-200-111-13−3−33000000000000
χ442-2-22-2-222-12-2-2211-11-1-110000-11-113−3−333−3−33-22001-1-11−333−3000000000000
χ452-2-22-2-222-12-2-2211-11-1-110000-11-11−333−3−333−32-200-111-1−333−3000000000000
χ462-2-22-2-222-12-2-2211-11-1-110000-11-11−333−3−333−3-22001-1-113−3−33000000000000
χ4744444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ484444-4-4-4-4-20000-2-2-22222−2i2−2i22i22i20000i2i2i2i2−i2−i2−i2−i2000000000000000000000000
χ494444-4-4-4-4-20000-2-2-222222i22i2−2i2−2i20000−i2−i2−i2−i2i2i2i2i2000000000000000000000000
χ5044-4-44-44-4-2-4-444-222-22-22000022-2-200000000000000000000000000000000
χ5144-4-4-44-44-20000-2222-22-222−22−22220000−2−22222−2−2000000000000000000000000
χ5244-4-4-44-44-20000-2222-22-2−222222−22000022−2−2−2−222000000000000000000000000
χ534-44-44-4-4440000-44-444-4-40000000000000000000000000000000000000000
χ544-44-44-4-44-200002-22-2-222000000006−66−6−66−66000000000000000000000000
χ554-44-44-4-44-200002-22-2-22200000000−66−666−66−6000000000000000000000000
χ564-44-4-444-4-2-44-442-2222-2-200002-2-2200000000000000000000000000000000
χ574-4-4444-4-440000-4-444-4-440000000000000000000000000000000000000000
χ584-4-4444-4-4-2000022-2-222-200000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ594-4-4444-4-4-2000022-2-222-200000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ604-4-44-4-444-2-444-422-22-2-2200002-22-200000000000000000000000000000000

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