Finite Group Databasebeta

← Group #10591547

Character table — Group #10591547

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
χ5111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-111-1
χ6111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111-1-11
χ7111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111111111-1-1-1-1-11
χ8111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1
χ9222222-2-2222222200222-2-2-20000-222222200-2-20000-20000-2-200000000000000
χ10222222-2-2222222200222-2-2-20000-2-2-2-2-2-2-200-2-20000200002200000000000000
χ1122222-12222-1-12-1-122-1-1-12-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122200-1-1-1-1-1-10000000000
χ1222222-12222-1-12-1-122-1-1-12-1-1-1-1-1-12-2-2111122-1-1-1-1-1-1-2-2-2001111110000000000
χ1322222-12222-1-12-1-1-2-2-1-1-12-1-11111222-1-1-1-1-2-2-1-111112-2-200-1-111110000000000
χ1422222-12222-1-12-1-1-2-2-1-1-12-1-111112-2-21111-2-2-1-11111-2220011-1-1-1-10000000000
χ1522222-1-2-222-1-12-1-100-1-1-1-211−i3−i3i3i3-222-1-1-1-10011−i3−i3i3i3-2000011−i3−i3i3i30000000000
χ1622222-1-2-222-1-12-1-100-1-1-1-211−i3−i3i3i3-2-2-211110011−i3−i3i3i320000-1-1i3i3−i3−i30000000000
χ1722222-1-2-222-1-12-1-100-1-1-1-211i3i3−i3−i3-222-1-1-1-10011i3i3−i3−i3-2000011i3i3−i3−i30000000000
χ1822222-1-2-222-1-12-1-100-1-1-1-211i3i3−i3−i3-2-2-211110011i3i3−i3−i320000-1-1−i3−i3i3i30000000000
χ192222-1222-1-122-12-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-100022000000-1-1-1-12-1-1000
χ202222-1222-1-122-12-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-1000-2-20000001111-211000
χ212222-1222-1-122-12-1-2-2-1-1-1-122-2-2-2-2-100000011-1-1111100022000000-1-1-1-1-211000
χ222222-1222-1-122-12-1-2-2-1-1-1-122-2-2-2-2-100000011-1-11111000-2-200000011112-1-1000
χ2322-2-2222-2-222-2-2-222-2-2-2222-22-22-2-20000002-22-22-22-2000000000000000000000
χ2422-2-2222-2-222-2-2-22-22-2-2222-2-22-22-2000000-222-2-22-22000000000000000000000
χ2522-2-222-22-222-2-2-2200-2-22-2-220000200000000-22000002i−2i00002i−2i2i−2i0000000000
χ2622-2-222-22-222-2-2-2200-2-22-2-220000200000000-2200000−2i2i0000−2i2i−2i2i0000000000
χ2722-2-22-12-2-22-11-21-12-211-12-11-11-11-20033−3−32-2-11-11-11000003−33−3−330000000000
χ2822-2-22-12-2-22-11-21-12-211-12-11-11-11-200−3−3332-2-11-11-1100000−33−333−30000000000
χ2922-2-22-12-2-22-11-21-1-2211-12-111-11-1-20033−3−3-22-111-11-1000003−3−333−30000000000
χ3022-2-22-12-2-22-11-21-1-2211-12-111-11-1-200−3−333-22-111-11-100000−333−3−330000000000
χ3122-2-22-1-22-22-11-21-10011-1-21-1−i3i3i3−i320033−3−3001-1−i3i3i3−i302i−2i00−33−ii−ii0000000000
χ3222-2-22-1-22-22-11-21-10011-1-21-1−i3i3i3−i3200−3−333001-1−i3i3i3−i30−2i2i003−3i−ii−i0000000000
χ3322-2-22-1-22-22-11-21-10011-1-21-1i3−i3−i3i320033−3−3001-1i3−i3−i3i30−2i2i00−33i−ii−i0000000000
χ3422-2-22-1-22-22-11-21-10011-1-21-1i3−i3−i3i3200−3−333001-1i3−i3−i3i302i−2i003−3−ii−ii0000000000
χ3522-2-2-122-21-12-21-2-12-211-1-12-22-22-21000000-11-11-11-110000000000033−3−303−3000
χ3622-2-2-122-21-12-21-2-12-211-1-12-22-22-21000000-11-11-11-1100000000000−3−3330−33000
χ3722-2-2-122-21-12-21-2-1-2211-1-12-2-22-2210000001-1-111-11-10000000000033−3−30−33000
χ3822-2-2-122-21-12-21-2-1-2211-1-12-2-22-2210000001-1-111-11-100000000000−3−33303−3000
χ392-2-2222002-2-2-2-222002-2-2000000002i−2i2i−2i2i−2i000000000002−20000002−22−2000−i2i20
χ402-2-2222002-2-2-2-222002-2-2000000002i−2i2i−2i2i−2i00000000000−22000000−22−22000i2−i20
χ412-2-2222002-2-2-2-222002-2-200000000−2i2i−2i2i−2i2i000000000002−20000002−22−2000i2−i20
χ422-2-2222002-2-2-2-222002-2-200000000−2i2i−2i2i−2i2i00000000000−22000000−22−22000−i2i20
χ434444-24-4-4-2-244-24-200-2-2-22-4-40000200000000220000000000000000000000000
χ444444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000-2-2111111000000000000000000000
χ454444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-20000002211-1-1-1-1000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-2100111222−2i3−2i32i32i3200000000-1-1i3i3−i3−i3000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-21001112222i32i3−2i3−2i3200000000-1-1−i3−i3i3i3000000000000000000000
χ4844-4-4-24-442-24-42-4-20022-22-440000-2000000002-20000000000000000000000000
χ4944-4-4-2-24-42-2-222214-4-1-11-2-22-22-222000000-221-11-11-1000000000000000000000
χ5044-4-4-2-24-42-2-22221-44-1-11-2-222-22-220000002-21-1-11-11000000000000000000000
χ5144-4-4-2-2-442-2-2222100-1-1122-2−2i32i32i3−2i3-200000000-11i3−i3−i3i3000000000000000000000
χ5244-4-4-2-2-442-2-2222100-1-1122-22i3−2i3−2i32i3-200000000-11−i3i3i3−i3000000000000000000000
χ534-44-44400-4-4-444-4400-44-40000000000000000000000000000000000000000000
χ544-44-44-200-4-42-242-2002-220000000000−2i32i32i3−2i300000000000000000000000000000
χ554-44-44-200-4-42-242-2002-2200000000002i3−2i3−2i32i300000000000000000000000000000
χ564-44-4-240022-44-2-4-2002-220000000000000000000000000000000006−6−66000000
χ574-44-4-240022-44-2-4-2002-22000000000000000000000000000000000−666−6000000
χ584-4-444-2004-422-4-2-200-222000000004i−4i−2i2i−2i2i00000000000000000000000000000
χ594-4-444-2004-422-4-2-200-22200000000−4i4i2i−2i2i−2i00000000000000000000000000000
χ604-4-44-2400-22-4-424-200-222000000000000000000000000022−22000000−22−22000000
χ614-4-44-2400-22-4-424-200-2220000000000000000000000000−22220000002−22−2000000
χ628-88-8-4-400444-4-44200-22-20000000000000000000000000000000000000000000
χ638-8-88-4-400-44444-42002-2-20000000000000000000000000000000000000000000

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