Finite Group Databasebeta

← Group #10594074

Character table — Group #10594074

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444466666666888888888812121212121212121212121218181818242424243636
order122233666666234466666121222444444666121212121212122444661212121212124444612121224
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1
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
χ511111111111111-1-111111-1-111-1-11111111-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-11-1-1-11
χ611111111111111-1-111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-11111-1
χ711111111111111-1-111111-1-1-1-1111111111-1-1-1-1-1-1-11-1-1-1-1-1111111-1-1111-1-1-11-1
χ811111111111111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-11-111-1-111-1-1-1-111-1-11-111-11
χ9111111111111-111-1-1-1111-1-111-1-111-1-1-1-1-111-111-1-11-11-111-1-111-1-1-1-1-1-11-11-111
χ10111111111111-111-1-1-1111-1-111-1-1-1-111-1-1-111-111-1-11-1-1111-1-1-1-11111111-1-11-1-1
χ11111111111111-111-1-1-1111-1-1-1-11111-1-1-1-1-111-111-1-1-111-1-1-11111-1-11111-111-1-1-1
χ12111111111111-111-1-1-1111-1-1-1-111-1-111-1-1-111-111-1-1-11-11-1-111-1-111-1-1-1-1-11-1111
χ13111111111111-11-11-1-111111111111-1-1-1-1-1-1-11-1-111-1-1-11111111-1-1-1-111-1-1-11-11
χ14111111111111-11-11-1-1111111111-1-111-1-1-1-1-11-1-111-1-11-11111-1-11111-1-1-1-11-11-1
χ15111111111111-11-11-1-111111-1-1-1-111-1-1-1-1-1-1-11-1-11111-11-1-1-1-111-1-111-1-111-111-1
χ16111111111111-11-11-1-111111-1-1-1-1-1-111-1-1-1-1-11-1-111111-1-1-1-1-1-1-111-1-111111-1-11
χ1722222-12-12-1-122-12222-1-1-1-1-122220000-1-1-12-12-1-1-1-12200-1-1-1-100000000-1-10000
χ1822222-12-12-1-122-12222-1-1-1-1-1-2-2-2-20000-1-1-12-12-1-1-1-1-2-200111100000000110000
χ1922222-12-12-1-122-1-2-222-1-1-11122-2-20000-1-1-1-21-21111-2200-1-111000000001-10000
χ2022222-12-12-1-122-1-2-222-1-1-111-2-2220000-1-1-1-21-211112-20011-1-100000000-110000
χ2122222-12-12-1-12-2-12-2-2-2-1-1-11122-2-200001112-1-2-1-1112-200-1-11100000000-110000
χ2222222-12-12-1-12-2-12-2-2-2-1-1-111-2-22200001112-1-2-1-111-220011-1-1000000001-10000
χ2322222-12-12-1-12-2-1-22-2-2-1-1-1-1-122220000111-21211-1-1-2-200-1-1-1-100000000110000
χ2422222-12-12-1-12-2-1-22-2-2-1-1-1-1-1-2-2-2-20000111-21211-1-12200111100000000-1-10000
χ252222-12-12-122-12-122-1-1-1-1-122000022222-1-1-12-1-1-1-1-100220000-1-1-1-1000000-1-100
χ262222-12-12-122-12-122-1-1-1-1-1220000-2-2-2-22-1-1-12-1-1-1-1-100-2-2000011110000001100
χ272222-12-12-122-12-1-2-2-1-1-1-1-1-2-2000022222-1-11-21111100-2-20000-1-1-1-10000001100
χ282222-12-12-122-12-1-2-2-1-1-1-1-1-2-20000-2-2-2-22-1-11-211111002200001111000000-1-100
χ292222-12-12-122-1-2-12-211-1-1-1-2-2000022-2-2-211-121-1-111002-20000-1-111000000-1100
χ302222-12-12-122-1-2-12-211-1-1-1-2-20000-2-222-211-121-1-11100-22000011-1-10000001-100
χ312222-12-12-122-1-2-1-2211-1-1-122000022-2-2-2111-2-111-1-100-220000-1-1110000001-100
χ322222-12-12-122-1-2-1-2211-1-1-1220000-2-222-2111-2-111-1-1002-2000011-1-1000000-1100
χ3322-2-222-2-222-2-2020000-22-2002-200002i−2i000000000000002-200002i−2i2i−2i00000000
χ3422-2-222-2-222-2-2020000-22-2002-20000−2i2i000000000000002-20000−2i2i−2i2i00000000
χ3522-2-222-2-222-2-2020000-22-200-2200002i−2i00000000000000-2200002i−2i−2i2i00000000
χ3622-2-222-2-222-2-2020000-22-200-220000−2i2i00000000000000-220000−2i2i2i−2i00000000
χ372-2-2222-2-2-2-222020000-2-2200002-22-20000000000000000002-22-200002-2000000
χ382-2-2222-2-2-2-222020000-2-2200002-2-220000000000000000002-2-220000-22000000
χ392-2-2222-2-2-2-222020000-2-220000-222-2000000000000000000-222-20000-22000000
χ402-2-2222-2-2-2-222020000-2-220000-22-22000000000000000000-22-2200002-2000000
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
χ434444-2-2-2-2-2-2-2-2-414-42211122000000002-1-1-2-2211-1-10000000000000000000000
χ444444-2-2-2-2-2-2-2-2-41-4422111-2-2000000002-1-122-2-1-1110000000000000000000000
χ4544-4-44-2-424-22-40-200002-22004-400000000000000000000-220000000000000000
χ4644-4-44-2-424-22-40-200002-2200-44000000000000000000002-20000000000000000
χ4744-4-4-242-4-24-420-200002-22000000004i−4i00000000000000000000−2i2i0000000000
χ4844-4-4-242-4-24-420-200002-2200000000−4i4i000000000000000000002i−2i0000000000
χ494-44-44444-4-4-4-40400004-4-4000000000000000000000000000000000000000000
χ504-44-44-24-2-422-40-20000-22223−23000000000000000023−230000000000000000000000
χ514-44-44-24-2-422-40-20000-222−23230000000000000000−23230000000000000000000000
χ524-44-4-24-242-4-420-200−2i32i3-22200000000000−2i32i300000000000000000000000000000
χ534-44-4-24-242-4-420-2002i3−2i3-222000000000002i3−2i300000000000000000000000000000
χ544-44-4-2-2-2-222220100−2i32i31-1-123−23000000000i3−i30003i−3i−330000000000000000000000
χ554-44-4-2-2-2-222220100−2i32i31-1-1−2323000000000i3−i3000−3i3i3−30000000000000000000000
χ564-44-4-2-2-2-2222201002i3−2i31-1-123−23000000000−i3i3000−3i3i−330000000000000000000000
χ574-44-4-2-2-2-2222201002i3−2i31-1-1−2323000000000−i3i30003i−3i3−30000000000000000000000
χ584-4-444-2-42-42-240-2000022-200004-400000000000000000000-2200000000000000
χ594-4-444-2-42-42-240-2000022-20000-44000000000000000000002-200000000000000
χ604-4-44-242-42-44-20-2000022-20000004-400000000000000000000-22000000000000
χ614-4-44-242-42-44-20-2000022-2000000-44000000000000000000002-2000000000000
χ6288-8-8-4-444-4-444020000-22-2000000000000000000000000000000000000000000
χ638-8-88-4-44444-4-4020000-2-22000000000000000000000000000000000000000000

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