Finite Group Databasebeta

← Group #11723034

Character table — Group #11723034

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444448888121212121212121212121212121212121212121212121212121212181818181818363636363636108
order122233366666666633366666666636664441212121212121212121212121212121212121212121212124444441212121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1111111-1-111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111-111111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1
χ4111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111111111111111111111111111-111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1
χ611111111111111111111111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11
χ711111111111111111111111111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ9222222-1222-12-12-122-1-122-1-1-1-12-1-1-1-1-1-120222-1-100-1-10022-1-1-1-10000-1-1-1-100220000-1-1000
χ10222222-1222-12-12-122-1-122-1-1-1-12-1-1-1-1-1-120-222-1-1001100-2-2-1-1-1-10000111100-2-2000011000
χ11222222-1222-12-12-122-1-122-1-1-1-12-1-1-1-1-1-1-202-2-21100-1-1002211110000-1-1-1-100-2-2000011000
χ12222222-1222-12-12-122-1-122-1-1-1-12-1-1-1-1-1-1-20-2-2-211001100-2-211110000111100220000-1-1000
χ1322222-1222-12-12-122-12-1-1-122-1-1-12-1-1-1-1-1220-1-122-1-1002200-1-1-1-1-1-1-1-10000220000-1-100000
χ1422222-1222-12-12-122-12-1-1-122-1-1-12-1-1-1-1-12-20-1-1221100-2-200-1-1-1-111110000-2-200001100000
χ1522222-1222-12-12-122-12-1-1-122-1-1-12-1-1-1-1-1-22011-2-2-1-10022001111-1-1-1-10000-2-200001100000
χ1622222-1222-12-12-122-12-1-1-122-1-1-12-1-1-1-1-1-2-2011-2-21100-2-200111111110000220000-1-100000
χ172222-122-1-1222222-1-1-12-1-1-1-122-1-12-1-1-1-102200002222-1-1-1-10000-1-1-1-1-1-1-1-10000220000-1-10
χ182222-122-1-1222222-1-1-12-1-1-1-122-1-12-1-1-1-102-2000022-2-2-1-1110000-1-1-1-111110000-2-20000110
χ192222-122-1-1222222-1-1-12-1-1-1-122-1-12-1-1-1-10-220000-2-22211-1-100001111-1-1-1-10000-2-20000110
χ202222-122-1-1222222-1-1-12-1-1-1-122-1-12-1-1-1-10-2-20000-2-2-2-211110000111111110000220000-1-10
χ2122-2-22222-22-2-2-2-22-22222-22-22-2-2-2-222-2-2000000000000000000000000000002-200002-2000
χ2222-2-22222-22-2-2-2-22-22222-22-22-2-2-2-222-2-200000000000000000000000000000-220000-22000
χ2322-2-222-12-221-21-2-1-22-1-12-2-11-11-211-1-111000003−3003−3000033−3−3000033−3−3002-20000-11000
χ2422-2-222-12-221-21-2-1-22-1-12-2-11-11-211-1-111000003−300−33000033−3−30000−3−33300-2200001-1000
χ2522-2-222-12-221-21-2-1-22-1-12-2-11-11-211-1-11100000−33003−30000−3−333000033−3−300-2200001-1000
χ2622-2-222-12-221-21-2-1-22-1-12-2-11-11-211-1-11100000−3300−330000−3−3330000−3−333002-20000-11000
χ272-22-2222-22-22-2-22-2-2222-22-22-22-2-2-22-22-20000000000000000000000000002-200002-200000
χ282-22-2222-22-22-2-22-2-2222-22-22-22-2-2-22-22-2000000000000000000000000000-220000-2200000
χ292-22-22-12-22121-2-1-2-2-12-11-1-221-11-21-11-110003−3003−30000003−33−333−3−300002-20000-1100000
χ302-22-22-12-22121-2-1-2-2-12-11-1-221-11-21-11-110003−300−330000003−33−3−3−3330000-2200001-100000
χ312-22-22-12-22121-2-1-2-2-12-11-1-221-11-21-11-11000−33003−3000000−33−3333−3−30000-2200001-100000
χ322-22-22-12-22121-2-1-2-2-12-11-1-221-11-21-11-11000−3300−33000000−33−33−3−33300002-20000-1100000
χ332-2-22222-2-2-2-222-2-22222-2-2-2-2-2-22222-2-2200000000000000000000000000000002-200002-20
χ342-2-22222-2-2-2-222-2-22222-2-2-2-2-2-22222-2-220000000000000000000000000000000-220000-220
χ352-2-22-12211-2-222-2-2-1-1-121111-2-2-1-12-111-100000000000−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300002-20000-110
χ362-2-22-12211-2-222-2-2-1-1-121111-2-2-1-12-111-100000000000−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i30000-2200001-10
χ372-2-22-12211-2-222-2-2-1-1-121111-2-2-1-12-111-100000000000i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i30000-2200001-10
χ382-2-22-12211-2-222-2-2-1-1-121111-2-2-1-12-111-100000000000i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300002-20000-110
χ3944444-2-244-2-2-2-2-2-24-2-21-2-2-2-211-2-211111400-2-2-2-2000000001111000000000000000000000
χ4044444-2-244-2-2-2-2-2-24-2-21-2-2-2-211-2-211111-400222200000000-1-1-1-1000000000000000000000
χ414444-24-2-2-24-24-24-2-2-21-2-2-211-2-2-21-21111004000000-2-200-2-20000000011110000000000000
χ424444-24-2-2-24-24-24-2-2-21-2-2-211-2-2-21-2111100-400000022002200000000-1-1-1-10000000000000
χ434444-2-24-2-2-24-24-24-21-2-211-2-2-2-21-2-211110400000-2-200-2-2000000111100000000000000000
χ444444-2-24-2-2-24-24-24-21-2-211-2-2-2-21-2-211110-400000220022000000-1-1-1-100000000000000000
χ4544-4-44-244-4-2-42-424-4-24-2-224-4-222-42-2-2220000000000000000000000000000000000000000
χ4644-4-44-2-24-4-22222-2-4-2-21-22-221-122-111-1-10000023−2300000000−3−333000000000000000000000
χ4744-4-44-2-24-4-22222-2-4-2-21-22-221-122-111-1-100000−23230000000033−3−3000000000000000000000
χ4844-4-4-244-224-4-4-4-442-2-24-22-224-422-4-2-2220000000000000000000000000000000000000000
χ4944-4-4-24-2-2242-42-4-22-21-2-221-1-222-1211-1-100000000023−23000000000000−3−3330000000000000
χ5044-4-4-24-2-2242-42-4-22-21-2-221-1-222-1211-1-1000000000−232300000000000033−3−30000000000000
χ5144-4-4-2-24-22-2-42-42421-2-21-1-22-22-12211-1-100000000000000000003i−3i−3i3i00000000000000000
χ5244-4-4-2-24-22-2-42-42421-2-21-1-22-22-12211-1-10000000000000000000−3i3i3i−3i00000000000000000
χ534-44-444-2-44-4-2-4242-44-2-2-442-22-2-422-22-220000000000000000000000000000000000000000
χ544-44-44-2-2-442-222-22-4-2-212-22-2-1122-11-11-100023−230000000000−33−33000000000000000000000
χ554-44-44-2-2-442-222-22-4-2-212-22-2-1122-11-11-1000−232300000000003−33−3000000000000000000000
χ564-44-4-2442-2-44-4-44-42-2-242-22-2-4422-4-22-220000000000000000000000000000000000000000
χ574-44-4-24-22-2-4-2-42422-21-22-2-112-22-121-11-1000000000000000000000003i−3i−3i3i0000000000000
χ584-44-4-24-22-2-4-2-42422-21-22-2-112-22-121-11-100000000000000000000000−3i3i3i−3i0000000000000
χ594-44-4-2-242-2242-4-2-421-2-2-112-22-2-1221-11-1000000023−230000000000−3−33300000000000000000
χ604-44-4-2-242-2242-4-2-421-2-2-112-22-2-1221-11-10000000−2323000000000033−3−300000000000000000
χ614-4-4444-2-4-4-424-2-4244-2-2-4-422224-2-2-222-20000000000000000000000000000000000000000
χ624-4-444-24-4-42-4-242-44-24-222-4-422-24-2-222-20000000000000000000000000000000000000000
χ634-4-444-2-2-4-422-2-2224-2-212222-1-1-2-211-1-110000000000000003-3-33000000000000000000000
χ644-4-444-2-2-4-422-2-2224-2-212222-1-1-2-211-1-11000000000000000-333-3000000000000000000000
χ654-4-44-24-222-424-2-42-2-21-222-1-122-21-21-1-110000000000000−2i32i300000000i3−i3i3−i30000000000000
χ664-4-44-24-222-424-2-42-2-21-222-1-122-21-21-1-1100000000000002i3−2i300000000−i3i3−i3i30000000000000
χ674-4-44-2-24222-4-242-4-21-2-2-1-122221-2-21-1-1100000000000−2i32i3000000i3−i3i3−i300000000000000000
χ684-4-44-2-24222-4-242-4-21-2-2-1-122221-2-21-1-11000000000002i3−2i3000000−i3i3−i3i300000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-4222222222222-1-1-1-10000000000000000000000000000000000000000
χ7088-8-8-4-4-4-44-44444-442222-22-22-2-2-2-2-1-1110000000000000000000000000000000000000000
χ718-88-8-4-4-44-44-444-444222-22-22-22-2-2-2-11-110000000000000000000000000000000000000000
χ728-8-88-4-4-44444-4-444-4222-2-2-2-2-2-2222-111-10000000000000000000000000000000000000000

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