Finite Group Databasebeta

← Group #10595220

Character table — Group #10595220

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488888888881212121212121212121212121212121218181818242424243636
order122222336666662346666666666666121212122444444412121212121212124444612121244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-111-11111-1-1-1-1-1-1-1-11-1-11-1-1
χ31111111111111111111111111111111111-1-1111-1-11-1-1-1-11111-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-11-11111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111
χ611111111111111-11-11111111-1-111-1-1-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111-11-11111111-1-111-1-1-1-1-1-1-1-111-111-1111111111111-1-1-1-1-1-1
χ811111111111111-11-11111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111
χ91111-1-11111111111-1-1-1-1-111111-1-111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1-11
χ101111-1-11111111111-1-1-1-1-111111-1-111-1-1-1-11-1-11-11-1111-1-1-1-111-1-1111-11-11-1
χ111111-1-11111111111-1-1-1-1-111111-1-111-1-1-1-1-111-11-11-1-1-11111-1-1-1-111-11-111-1
χ121111-1-11111111111-1-1-1-1-111111-1-111-1-1-1-1-11-11-1-111-1-111-1-11111-1-1-1-111-11
χ131111-1-111111111-111-1-1-1-1111-1-1-1-1-1-111111-11-1-1-111-1-11111-1-1-1-1111-11-1-11
χ141111-1-111111111-111-1-1-1-1111-1-1-1-1-1-111111-1-111-11-1-1-111-1-11111-1-111-1-11-1
χ151111-1-111111111-111-1-1-1-1111-1-1-1-1-1-11111-111-1-11-1111-1-111-1-111-1-1-1-1111-1
χ161111-1-111111111-111-1-1-1-1111-1-1-1-1-1-11111-11-1111-1-111-1-1-1-111-1-111-11-11-11
χ172222222-1-122-1-122-1222-1-1-1-1-12-1-1-1-1-1-12-1-122000220-1-1-1-100000000-100-100
χ182222222-1-122-1-122-1222-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2000-2-20111100000000100100
χ192222222-1-122-1-12-2-1-222-1-1-1-1-1-21-1-1111-21122000-2-20111100000000-100-100
χ202222222-1-122-1-12-2-1-222-1-1-1-1-1-21-1-1111-211-2-2000220-1-1-1-100000000100100
χ21222222-122-1-122-12-12-1-122-1-1-1-12-1-1-1-12-1-1-1002220020000-1-1-1-100000-1-1000
χ22222222-122-1-122-12-12-1-122-1-1-1-12-1-1-1-12-1-1-100-2-2-200-2000011110000011000
χ23222222-122-1-122-1-2-1-2-1-122-1-1-11-2-1-111-21110022-200-20000-1-1-1-10000011000
χ24222222-122-1-122-1-2-1-2-1-122-1-1-11-2-1-111-211100-2-220020000111100000-1-1000
χ252222-2-22-1-122-1-122-1-2-2-211-1-1-12-111-1-11-2112-20002-20-1-11100000000-100100
χ262222-2-22-1-122-1-122-1-2-2-211-1-1-12-111-1-11-211-22000-22011-1-100000000100-100
χ272222-2-22-1-122-1-12-2-12-2-211-1-1-1-211111-12-1-12-2000-22011-1-100000000-100100
χ282222-2-22-1-122-1-12-2-12-2-211-1-1-1-211111-12-1-1-220002-20-1-11100000000100-100
χ292222-2-2-122-1-122-12-1-211-2-2-1-1-1-1211-1-1-2111002-2200-20000-1-11100000-11000
χ302222-2-2-122-1-122-12-1-211-2-2-1-1-1-1211-1-1-211100-22-2002000011-1-1000001-1000
χ312222-2-2-122-1-122-1-2-1211-2-2-1-1-11-211112-1-1-1002-2-20020000-1-111000001-1000
χ322222-2-2-122-1-122-1-2-1211-2-2-1-1-11-211112-1-1-100-22200-2000011-1-100000-11000
χ3322-2-22-222-2-2-22-220202-22-2-2-22002-200000000000000000000002i−2i2i−2i000000
χ3422-2-22-222-2-2-22-220202-22-2-2-22002-20000000000000000000000−2i2i−2i2i000000
χ3522-2-2-2222-2-2-22-22020-22-22-2-2200-2200000000000000000000002i−2i−2i2i000000
χ3622-2-2-2222-2-2-22-22020-22-22-2-2200-220000000000000000000000−2i2i2i−2i000000
χ37444444-2-2-2-2-2-2-2-2414-2-2-2-2111-2-21111-2-21100000000000000000000000000
χ38444444-2-2-2-2-2-2-2-2-41-4-2-2-2-21112211-1-122-1-100000000000000000000000000
χ394444-4-4-2-2-2-2-2-2-2-241-42222111-2-2-1-11122-1-100000000000000000000000000
χ404444-4-4-2-2-2-2-2-2-2-2-414222211122-1-1-1-1-2-21100000000000000000000000000
χ4144-4-44-44-22-4-4-2240-204-4-2222-200-2200000000000000000000000000000000
χ4244-4-44-4-24-4224-4-20-20-224-422-200-2200000000000000000000000000000000
χ4344-4-44-4-2-2222-22-2010-22-22-1-11001-13-3003-300000000000000000000000000
χ4444-4-44-4-2-2222-22-2010-22-22-1-11001-1-3300-3300000000000000000000000000
χ4544-4-4-444-22-4-4-2240-20-442-222-2002-200000000000000000000000000000000
χ4644-4-4-44-24-4224-4-20-202-2-4422-2002-200000000000000000000000000000000
χ4744-4-4-44-2-2222-22-20102-22-2-1-1100-113-300-3300000000000000000000000000
χ4844-4-4-44-2-2222-22-20102-22-2-1-1100-11-33003-300000000000000000000000000
χ494-44-4004444-4-4-4-404000004-4-4000000000000000000000000000000000000
χ504-44-4004-2-24-422-40-200000-2220000000000000000000023−2300000000000000
χ514-44-4004-2-24-422-40-200000-22200000000000000000000−232300000000000000
χ524-44-400-244-22-4-420-200000-22200000000000000000000000023−230000000000
χ534-44-400-244-22-4-420-200000-222000000000000000000000000−23230000000000
χ544-4-440044-4-44-44-40400000-44-4000000000000000000000000000000000000
χ554-4-44004-22-442-2-40-2000002-22000000000000000000−2i32i30000000000000000
χ564-4-44004-22-442-2-40-2000002-220000000000000000002i3−2i30000000000000000
χ574-4-4400-24-42-2-4420-2000002-22000000000000000000000023−23000000000000
χ584-4-4400-24-42-2-4420-2000002-220000000000000000000000−2323000000000000
χ598-88-800-4-4-4-4444402000002-2-2000000000000000000000000000000000000
χ608-8-8800-4-444-44-440200000-22-2000000000000000000000000000000000000

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