Finite Group Databasebeta

← Group #10594941

Character table — Group #10594941

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222222224444444444444444444444444446666121212121212121212121212121218181818242424243636
order122222334466666666663466666666612121212121212121212121212121212224424444466661212121244441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111-1-111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-11111-1-1-1-111111-11-1-1-1
χ611111111-1-111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-111111-1-1-1-1-1-1-1-1-11-1111
χ711111111-1-111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11-1-1-1-1-11111-1-1-1-11-11-111
χ811111111-1-111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1-111111111-11-11-1-1
χ91111-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-11-1-1111-1-111-1-111-1-11-1-11-11
χ101111-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-111-111-1-111-1-1-1-111-111-11-1
χ111111-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-11-1-111-1-111-1-1111-1-111-1
χ121111-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-111-111-1-1-111-1-11111-1-1-111-1-11
χ131111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1111-1-111-1-1-1-11111-1-111-1-11-1
χ141111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-11-1-11111-1-1-1-111-1-111-1-111-11
χ151111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1111-111-1-1-1-11111-1-1-1-11111-1-1-11
χ161111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1111-1-1-111-1-11111-1-111-1-1-1-1111-1
χ172222222-1222-1-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-10000000000
χ182222222-1222-1-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111111110000000000
χ192222222-1-2-22-1-1-1-1-1-12-12-1-222-1-1-1-1-1-1-11111-2-2-2-21111111122-2-22-20000-1-1-1-111110000000000
χ202222222-1-2-22-1-1-1-1-1-12-12-1-222-1-1-1-1-1-1-11111-2-2-2-211111111-2-222-2200001111-1-1-1-10000000000
χ21222222-1222-1222222-12-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-100
χ22222222-1222-1222222-12-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000000000111100
χ23222222-12-2-2-1222222-12-1-1-2-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000002-22-2000000000000-11-1100
χ24222222-12-2-2-1222222-12-1-1-2-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000-22-220000000000001-11-100
χ252222-2-22-1222-11111-12-12-1-2-2-2-1-11111-1-1-11122-2-2-1-1-1-111112222-2-20000-1-111-1-1110000000000
χ262222-2-22-1222-11111-12-12-1-2-2-2-1-11111-1-1-11122-2-2-1-1-1-11111-2-2-2-222000011-1-111-1-10000000000
χ272222-2-22-1-2-22-11111-12-12-12-2-2-1-11111-111-1-1-2-2221111-1-1-1-122-2-2-220000-1-11111-1-10000000000
χ282222-2-22-1-2-22-11111-12-12-12-2-2-1-11111-111-1-1-2-2221111-1-1-1-1-2-2222-2000011-1-1-1-1110000000000
χ292222-2-2-1222-12-2-2-2-22-12-1-1-211-1-11111-122-2-2-1-111-1-1-1-111110000002-2-22000000000000-111-100
χ302222-2-2-1222-12-2-2-2-22-12-1-1-211-1-11111-122-2-2-1-111-1-1-1-11111000000-222-20000000000001-1-1100
χ312222-2-2-12-2-2-12-2-2-2-22-12-1-1211-1-11111-1-2-22211-1-11111-1-1-1-100000022-2-2000000000000-1-11100
χ322222-2-2-12-2-2-12-2-2-2-22-12-1-1211-1-11111-1-2-22211-1-11111-1-1-1-1000000-2-22200000000000011-1-100
χ3322-2-200222i−2i-220000-22-2-220002-20000-22i−2i002i−2i002i2i−2i−2i00002-22i−2i0000002-2002i−2i000000000000
χ3422-2-200222i−2i-220000-22-2-220002-20000-22i−2i002i−2i002i2i−2i−2i0000-22−2i2i000000-2200−2i2i000000000000
χ3522-2-20022−2i2i-220000-22-2-220002-20000-2−2i2i00−2i2i00−2i−2i2i2i00002-2−2i2i0000002-200−2i2i000000000000
χ3622-2-20022−2i2i-220000-22-2-220002-20000-2−2i2i00−2i2i00−2i−2i2i2i0000-222i−2i000000-22002i−2i000000000000
χ3722-2-2002-12i−2i-2-1−i3−i3i3i3121-2-1000-11−i3−i3i3i31−ii3−32i−2i00−i−iii33−3−32-22i−2i000000-11−i3i3−ii3−30000000000
χ3822-2-2002-12i−2i-2-1−i3−i3i3i3121-2-1000-11−i3−i3i3i31−ii3−32i−2i00−i−iii33−3−3-22−2i2i0000001-1i3−i3i−i−330000000000
χ3922-2-2002-12i−2i-2-1i3i3−i3−i3121-2-1000-11i3i3−i3−i31−ii−332i−2i00−i−iii−3−3332-22i−2i000000-11i3−i3−ii−330000000000
χ4022-2-2002-12i−2i-2-1i3i3−i3−i3121-2-1000-11i3i3−i3−i31−ii−332i−2i00−i−iii−3−333-22−2i2i0000001-1−i3i3i−i3−30000000000
χ4122-2-2002-1−2i2i-2-1−i3−i3i3i3121-2-1000-11−i3−i3i3i31i−i−33−2i2i00ii−i−i−3−3332-2−2i2i000000-11−i3i3i−i−330000000000
χ4222-2-2002-1−2i2i-2-1−i3−i3i3i3121-2-1000-11−i3−i3i3i31i−i−33−2i2i00ii−i−i−3−333-222i−2i0000001-1i3−i3−ii3−30000000000
χ4322-2-2002-1−2i2i-2-1i3i3−i3−i3121-2-1000-11i3i3−i3−i31i−i3−3−2i2i00ii−i−i33−3−32-2−2i2i000000-11i3−i3i−i3−30000000000
χ4422-2-2002-1−2i2i-2-1i3i3−i3−i3121-2-1000-11i3i3−i3−i31i−i3−3−2i2i00ii−i−i33−3−3-222i−2i0000001-1−i3i3−ii−330000000000
χ452-22-22-222002-22-22-2-2-22-2202-2-222-22-2-200000000000000000000000000000000002i−2i2i−2i000000
χ462-22-22-222002-22-22-2-2-22-2202-2-222-22-2-20000000000000000000000000000000000−2i2i−2i2i000000
χ472-22-2-2222002-2-22-22-2-22-220-22-22-22-22-200000000000000000000000000000000002i−2i−2i2i000000
χ482-22-2-2222002-2-22-22-2-22-220-22-22-22-22-20000000000000000000000000000000000−2i2i2i−2i000000
χ49444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-4-2-2111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ514444-4-4-2-244-2-22222-2-2-2-21-42211-1-1-1-11-2-222-2-2221111-1-1-1-10000000000000000000000000000
χ524444-4-4-2-2-4-4-2-22222-2-2-2-2142211-1-1-1-1122-2-222-2-2-1-1-1-111110000000000000000000000000000
χ5344-4-400-244i−4i240000-4-2-42-2000-22000024i−4i00−2i2i00−2i−2i2i2i00000000000000000000000000000000
χ5444-4-400-24−4i4i240000-4-2-42-2000-2200002−4i4i002i−2i002i2i−2i−2i00000000000000000000000000000000
χ5544-4-400-2-24i−4i2-2−2i3−2i32i32i32-22210001-1i3i3−i3−i3-1−2i2i23−23−2i2i00ii−i−i−3−3330000000000000000000000000000
χ5644-4-400-2-24i−4i2-22i32i3−2i3−2i32-22210001-1−i3−i3i3i3-1−2i2i−2323−2i2i00ii−i−i33−3−30000000000000000000000000000
χ5744-4-400-2-2−4i4i2-2−2i3−2i32i32i32-22210001-1i3i3−i3−i3-12i−2i−23232i−2i00−i−iii33−3−30000000000000000000000000000
χ5844-4-400-2-2−4i4i2-22i32i3−2i3−2i32-22210001-1−i3−i3i3i3-12i−2i23−232i−2i00−i−iii−3−3330000000000000000000000000000
χ594-44-44-44-20042-22-222-4-2-4-204-42-2-22-22200000000000000000000000000000000000000000000
χ604-44-44-4-2400-2-44-44-4-4242-20-222-2-22-22200000000000000000000000000000000000000000000
χ614-44-44-4-2-200-22-22-2222-2210-22-111-11-1-1000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000
χ624-44-44-4-2-200-22-22-2222-2210-22-111-11-1-100000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000
χ634-44-4-444-200422-22-22-4-2-4-20-442-22-22-2200000000000000000000000000000000000000000000
χ644-44-4-44-2400-2-4-44-44-4242-202-22-22-22-2200000000000000000000000000000000000000000000
χ654-44-4-44-2-200-222-22-222-22102-2-11-11-11-1000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000
χ664-44-4-44-2-200-222-22-222-22102-2-11-11-11-100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000
χ674-4-44004400-4-400004-4-444000-4-40000400000000000000000000000000000000000000000000
χ684-4-44004-200-42−2i32i32i3−2i3-2-424-200022−2i32i32i3−2i3-200000000000000000000000000000000000000000000
χ694-4-44004-200-422i3−2i3−2i32i3-2-424-2000222i3−2i3−2i32i3-200000000000000000000000000000000000000000000
χ704-4-4400-24002-4000042-4-2-2000220000-2000000−2i32i30000−2i32i32i3−2i30000000000000000000000000000
χ714-4-4400-24002-4000042-4-2-2000220000-20000002i3−2i300002i3−2i3−2i32i30000000000000000000000000000
χ724-4-4400-2-20022−2i32i32i3−2i3-222-21000-1-1i3−i3−i3i31000000−2i32i3-333-3i3−i3−i3i30000000000000000000000000000
χ734-4-4400-2-20022−2i32i32i3−2i3-222-21000-1-1i3−i3−i3i310000002i3−2i33-3-33−i3i3i3−i30000000000000000000000000000
χ744-4-4400-2-200222i3−2i3−2i32i3-222-21000-1-1−i3i3i3−i31000000−2i32i33-3-33i3−i3−i3i30000000000000000000000000000
χ754-4-4400-2-200222i3−2i3−2i32i3-222-21000-1-1−i3i3i3−i310000002i3−2i3-333-3−i3i3i3−i30000000000000000000000000000

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