Finite Group Databasebeta

← Group #10590557

Character table — Group #10590557

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222222224444444444444466666688888888121212121212121212121212121212242424363672
order12223344666666344666121212121212121244121212121212121212121212444881212121212122424242441212884
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-11111111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111-1-11111-1-1-1-1111111111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-111-1
χ6111111111111111-1-11111-1-1-1-1111111111-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111-1-11
χ7111111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-111-1-111111111-1-1-1-1-11
χ8111111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-111111-1
χ9222222-2-2222222200222-20000-2-2-222222200-2-2000000-200-2-200000000000000
χ10222222-2-2222222200222-20000-2-2-2-2-2-2-2-2-200-2-20000002002200000000000000
χ1122222-12222-1-1-12-122-1-1-12-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122200-1-1-1-1-1-10000000000
χ1222222-12222-1-1-12-122-1-1-12-1-1-1-1-1-12-2-2111122-1-1-1-1-1-1-2-2-2001111110000000000
χ1322222-12222-1-1-12-1-2-2-1-1-121111-1-1222-1-1-1-1-2-2-1-11111-2-2200-1-111110000000000
χ1422222-12222-1-1-12-1-2-2-1-1-121111-1-12-2-21111-2-2-1-1111122-20011-1-1-1-10000000000
χ1522222-1-2-222-1-1-12-100-1-1-1-2−i3−i3i3i311-222-1-1-1-10011−i3−i3i3i300-20011−i3−i3i3i30000000000
χ1622222-1-2-222-1-1-12-100-1-1-1-2−i3−i3i3i311-2-2-211110011−i3−i3i3i300200-1-1i3i3−i3−i30000000000
χ1722222-1-2-222-1-1-12-100-1-1-1-2i3i3−i3−i311-222-1-1-1-10011i3i3−i3−i300-20011i3i3−i3−i30000000000
χ1822222-1-2-222-1-1-12-100-1-1-1-2i3i3−i3−i311-2-2-211110011i3i3−i3−i300200-1-1−i3−i3i3i30000000000
χ192222-1222-1-1222-1-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-100022000000-1-1-1-12-1-1000
χ202222-1222-1-1222-1-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-1000-2-20000001111-211000
χ212222-1222-1-1222-1-1-2-2-1-1-1-1-2-2-2-222-100000011-1-1111100022000000-1-1-1-1-211000
χ222222-1222-1-1222-1-1-2-2-1-1-1-1-2-2-2-222-100000011-1-11111000-2-200000011112-1-1000
χ2322-2-222002-22-2-2-22002-2-2000000002-222-2-2000000000002−200000022−2−20002−20
χ2422-2-222002-22-2-2-22002-2-2000000002-222-2-200000000000−22000000−2−222000−220
χ2522-2-222002-22-2-2-22002-2-200000000-22-2-222000000000002−200000022−2−2000−220
χ2622-2-222002-22-2-2-22002-2-200000000-22-2-22200000000000−22000000−2−2220002−20
χ272-22-2222-2-22-2-22-2200-22-2200002-2-2000000002-200002-2000002-22-20000000000
χ282-22-2222-2-22-2-22-2200-22-2200002-2-2000000002-20000-2200000-22-220000000000
χ292-22-222-22-22-2-22-222i−2i-22-2-22i−2i2i−2i-2220000002i−2i-222i−2i2i−2i000000000000000000000
χ302-22-222-22-22-2-22-22−2i2i-22-2-2−2i2i−2i2i-222000000−2i2i-22−2i2i−2i2i000000000000000000000
χ312-22-22-12-2-2211-1-2-1001-1123−3−33-11-2003−33−300-113−3−332-20003−3-11-110000000000
χ322-22-22-12-2-2211-1-2-1001-1123−3−33-11-200−33−3300-113−3−33-22000−331-11-10000000000
χ332-22-22-12-2-2211-1-2-1001-112−333−3-11-2003−33−300-11−333−3-220003−31-11-10000000000
χ342-22-22-12-2-2211-1-2-1001-112−333−3-11-200−33−3300-11−333−32-2000−33-11-110000000000
χ352-22-22-1-22-2211-1-2-12i−2i1-11-2−ii−ii1-12003−33−32i−2i1-1−ii−ii00000−33−i3i3i3−i30000000000
χ362-22-22-1-22-2211-1-2-12i−2i1-11-2−ii−ii1-1200−33−332i−2i1-1−ii−ii000003−3i3−i3−i3i30000000000
χ372-22-22-1-22-2211-1-2-1−2i2i1-11-2i−ii−i1-12003−33−3−2i2i1-1i−ii−i00000−33i3−i3−i3i30000000000
χ382-22-22-1-22-2211-1-2-1−2i2i1-11-2i−ii−i1-1200−33−33−2i2i1-1i−ii−i000003−3−i3i3i3−i30000000000
χ392-22-2-12-221-1-2-221-12i−2i1-1112i−2i2i−2i-22-1000000−ii1-1−ii−ii00000000000−i3i3−i3i303−3000
χ402-22-2-12-221-1-2-221-12i−2i1-1112i−2i2i−2i-22-1000000−ii1-1−ii−ii00000000000i3−i3i3−i30−33000
χ412-22-2-12-221-1-2-221-1−2i2i1-111−2i2i−2i2i-22-1000000i−i1-1i−ii−i00000000000−i3i3−i3i30−33000
χ422-22-2-12-221-1-2-221-1−2i2i1-111−2i2i−2i2i-22-1000000i−i1-1i−ii−i00000000000i3−i3i3−i303−3000
χ434444-24-4-4-2-2444-2-200-2-2-220000-4-4200000000220000000000000000000000000
χ444444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000-2-2111111000000000000000000000
χ454444-2-244-2-2-2-2-2-21-4-4111-22222-2-2-20000002211-1-1-1-1000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-21001112−2i3−2i32i32i322200000000-1-1i3i3−i3−i3000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-210011122i32i3−2i3−2i322200000000-1-1−i3−i3i3i3000000000000000000000
χ4844-4-44-2004-4-222-4-200-222000000004-4-2-22200000000000000000000000000000
χ4944-4-44-2004-4-222-4-200-22200000000-4422-2-200000000000000000000000000000
χ5044-4-4-2400-224-4-42-200-222000000000000000000000000022−22000000−2−222000000
χ5144-4-4-2400-224-4-42-200-2220000000000000000000000000−222200000022−2−2000000
χ524-44-4-244-42-2-4-442-2002-22-200004-4200000000-220000000000000000000000000
χ534-44-4-2-24-42-222-22100-11-1-223−23−2323-222000000001-1−333−3000000000000000000000
χ544-44-4-2-24-42-222-22100-11-1-2−232323−23-222000000001-13−3−33000000000000000000000
χ554-44-4-2-2-442-222-2214i−4i-11-12−2i2i−2i2i2-2-2000000−2i2i-11i−ii−i000000000000000000000
χ564-44-4-2-2-442-222-221−4i4i-11-122i−2i2i−2i2-2-20000002i−2i-11−ii−ii000000000000000000000
χ574-4-444400-4-4-44-44400-4-440000000000000000000000000000000000000000000
χ584-4-444-200-4-42-224-20022-2000000000023−23−232300000000000000000000000000000
χ594-4-444-200-4-42-224-20022-20000000000−232323−2300000000000000000000000000000
χ604-4-44-240022-44-4-2-20022-2000000000000000000000000000000000i6−i6−i6i6000000
χ614-4-44-240022-44-4-2-20022-2000000000000000000000000000000000−i6i6i6−i6000000
χ6288-8-8-4-400-44-44442002-2-20000000000000000000000000000000000000000000
χ638-8-88-4-400444-44-4200-2-220000000000000000000000000000000000000000000

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