Finite Group Databasebeta

← Group #10594157

Character table — Group #10594157

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444466666666888888888812121212121212121212121218181818242424243636
order12223366666623446666612124444444466612121212121212244412121212121212122244612121224
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111111111-111-11111-1-1-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111-1-1-1-1111111111111111-1-11-1-1-1-11111-1-1-1-11-1-11-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-1-111111-1-111-1-11111111-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-11-1-11
χ611111111111111-1-111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1111-1111-1
χ711111111111111-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-11-1-11-1
χ811111111111111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-111-11-1-111-1-1-1-111-1-111-11-11
χ9111111111111-111-1-1-111111111111-1-1-1-1-11-1-111-1-11-1-1-1111111-1-1-1-1111-1-1-1-11
χ10111111111111-111-1-1-1111111111-1-111-1-1-11-1-111-1-1-1-1-111111-1-11111-1-1-1-1-111-1
χ11111111111111-111-1-1-111111-1-1-1-111-1-1-1-1-11-1-111-1-1111-1-1-1-1-111-1-111-1-1111-11-1
χ12111111111111-111-1-1-111111-1-1-1-1-1-111-1-1-11-1-111-1-1-1111-1-1-1-1-1-111-1-111-1111-11
χ13111111111111-11-11-1-1111-1-111-1-111-1-1-1-1-1-111-1-111-11-1111-1-111-1-1-1-1-1-1-11-1111
χ14111111111111-11-11-1-1111-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-1
χ15111111111111-11-11-1-1111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-111-1-1
χ16111111111111-11-11-1-1111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1-1-111-1-111-1-1-1-11-11-111
χ1722222-1-1-1222-12-122-1-1-1-1-122000022222-1-1-1-12-1-1-1-120020000-1-1-1-10000-100-100
χ1822222-1-1-1222-12-122-1-1-1-1-1220000-2-2-2-22-1-1-1-12-1-1-1-1-200-2000011110000100100
χ1922222-1-1-1222-12-1-2-2-1-1-1-1-1-2-2000022222-1-111-21111-200-20000-1-1-1-10000100100
χ2022222-1-1-1222-12-1-2-2-1-1-1-1-1-2-20000-2-2-2-22-1-111-211112002000011110000-100-100
χ2122222-1-1-1222-1-2-12-211-1-1-122000022-2-2-211-11-2-1-111200-20000-1-1110000-100100
χ2222222-1-1-1222-1-2-12-211-1-1-1220000-2-222-211-11-2-1-111-2002000011-1-10000100-100
χ2322222-1-1-1222-1-2-1-2211-1-1-1-2-2000022-2-2-2111-1211-1-1-20020000-1-1110000100-100
χ2422222-1-1-1222-1-2-1-2211-1-1-1-2-20000-2-222-2111-1211-1-1200-2000011-1-10000-100100
χ252222-1222-1-1-122-12222-1-1-1-1-122220000-1-1-122-1-1-1-1-10220-1-1-1-1000000000-1-1000
χ262222-1222-1-1-122-12222-1-1-1-1-1-2-2-2-20000-1-1-122-1-1-1-1-10-2-20111100000000011000
χ272222-1222-1-1-122-1-2-222-1-1-11122-2-20000-1-1-1-2-2111110-220-1-1110000000001-1000
χ282222-1222-1-1-122-1-2-222-1-1-111-2-2220000-1-1-1-2-21111102-2011-1-1000000000-11000
χ292222-1222-1-1-12-2-12-2-2-2-1-1-1-1-1222200001112-21-1-1110-2-20-1-1-1-100000000011000
χ302222-1222-1-1-12-2-12-2-2-2-1-1-1-1-1-2-2-2-200001112-21-1-11102201111000000000-1-1000
χ312222-1222-1-1-12-2-1-22-2-2-1-1-11122-2-20000111-22-111-1-102-20-1-111000000000-11000
χ322222-1222-1-1-12-2-1-22-2-2-1-1-111-2-2220000111-22-111-1-10-22011-1-10000000001-1000
χ3322-2-2222-22-2-2-2020000-22-2002i−2i00002i−2i000000000000002i−2i00002i−2i2-200000000
χ3422-2-2222-22-2-2-2020000-22-2002i−2i0000−2i2i000000000000002i−2i0000−2i2i-2200000000
χ3522-2-2222-22-2-2-2020000-22-200−2i2i00002i−2i00000000000000−2i2i00002i−2i-2200000000
χ3622-2-2222-22-2-2-2020000-22-200−2i2i0000−2i2i00000000000000−2i2i0000−2i2i2-200000000
χ372-22-222-22-22-2-2020000-2-2200002i−2i2i−2i0000000000000000002i−2i2i−2i00002-2000000
χ382-22-222-22-22-2-2020000-2-2200002i−2i−2i2i0000000000000000002i−2i−2i2i0000-22000000
χ392-22-222-22-22-2-2020000-2-220000−2i2i2i−2i000000000000000000−2i2i2i−2i0000-22000000
χ402-22-222-22-22-2-2020000-2-220000−2i2i−2i2i000000000000000000−2i2i−2i2i00002-2000000
χ414444-2-2-2-2-2-2-2-24144-2-2111-2-200000000-211-2-2-211110000000000000000000000
χ424444-2-2-2-2-2-2-2-241-4-4-2-21112200000000-211222-1-1-1-10000000000000000000000
χ434444-2-2-2-2-2-2-2-2-414-422111-2-2000000002-1-1-22211-1-10000000000000000000000
χ444444-2-2-2-2-2-2-2-2-41-442211122000000002-1-12-2-2-1-1110000000000000000000000
χ4544-4-44-2-224-4-420-200002-22000000004i−4i00000000000000000000−2i2i0000000000
χ4644-4-44-2-224-4-420-200002-2200000000−4i4i000000000000000000002i−2i0000000000
χ4744-4-4-244-4-222-40-200002-22004i−4i00000000000000000000−2i2i0000000000000000
χ4844-4-4-244-4-222-40-200002-2200−4i4i000000000000000000002i−2i0000000000000000
χ494-44-44-22-2-44-420-2000022-20000004i−4i00000000000000000000−2i2i000000000000
χ504-44-44-22-2-44-420-2000022-2000000−4i4i000000000000000000002i−2i000000000000
χ514-44-4-24-442-22-40-2000022-200004i−4i00000000000000000000−2i2i00000000000000
χ524-44-4-24-442-22-40-2000022-20000−4i4i000000000000000000002i−2i00000000000000
χ534-4-4444-4-4-4-4440400004-4-4000000000000000000000000000000000000000000
χ544-4-444-222-4-44-20-200−2i32i3-22200000000000−2i32i300000000000000000000000000000
χ554-4-444-222-4-44-20-2002i3−2i3-222000000000002i3−2i300000000000000000000000000000
χ564-4-44-24-4-422-240-20000-22223−230000000000000023−23000000000000000000000000
χ574-4-44-24-4-422-240-20000-222−232300000000000000−2323000000000000000000000000
χ584-4-44-2-22222-2-20100−2i32i31-1-123−23000000000i3−i3000−333i−3i0000000000000000000000
χ594-4-44-2-22222-2-20100−2i32i31-1-1−2323000000000i3−i30003−3−3i3i0000000000000000000000
χ604-4-44-2-22222-2-201002i3−2i31-1-123−23000000000−i3i3000−33−3i3i0000000000000000000000
χ614-4-44-2-22222-2-201002i3−2i31-1-1−2323000000000−i3i30003−33i−3i0000000000000000000000
χ6288-8-8-4-4-44-4444020000-22-2000000000000000000000000000000000000000000
χ638-88-8-4-44-44-444020000-2-22000000000000000000000000000000000000000000

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