Finite Group Databasebeta

← Group #11722981

Character table — Group #11722981

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order1222333666666666333666666666223666446666666612121212121212121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-11111111111-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1111111111-1-111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1-1
χ41111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-11-1-111-1-111
χ71111111111111111111111111111-1-11111-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-111-1-1-1-111
χ81111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9222222-122-12-1222-12-1-122-1-1-1-1-12-122-1-1-1-10222-1-1-1-1-1-100-1-100220000-1-1-1-1000200-1-10000
χ10222222-122-12-1222-12-1-122-1-1-1-1-12-122-1-1-1-10-222-1-1-1-1-1-1001100-2-200001111000-200110000
χ11222222-122-12-1222-12-1-122-1-1-1-1-12-1-2-2-1-1-1-102-2-211111100-1-100220000-1-1-1-1000-200110000
χ12222222-122-12-1222-12-1-122-1-1-1-1-12-1-2-2-1-1-1-10-2-2-2111111001100-2-200001111000200-1-10000
χ1322222-122-12-1222-12-12-1-1-122-1-1-1-1222-1-1-1-120-1-122-1-1-1-1-1-1002200-1-1-1-100000020-1-1000000
χ1422222-122-12-1222-12-12-1-1-122-1-1-1-1222-1-1-1-1-20-1-122-1-1-1-11100-2-2001111000000-2011000000
χ1522222-122-12-1222-12-12-1-1-122-1-1-1-12-2-2-1-1-1-12011-2-21111-1-1002200-1-1-1-1000000-2011000000
χ1622222-122-12-1222-12-12-1-1-122-1-1-1-12-2-2-1-1-1-1-2011-2-211111100-2-200111100000020-1-1000000
χ172222-122-12222-1-122-1-12-1-1-1-1222-1-100-1-1-1-122000000002222-1-1-1-1-1-1-1-1-1-1-1-122000000-1-100
χ182222-122-12222-1-122-1-12-1-1-1-1222-1-100-1-1-1-12-20000000022-2-2-1-111-1-1-1-11111-2-20000001100
χ192222-122-12222-1-122-1-12-1-1-1-1222-1-100-1-1-1-1-2200000000-2-22211-1-11111-1-1-1-1-2-20000001100
χ202222-122-12222-1-122-1-12-1-1-1-1222-1-100-1-1-1-1-2-200000000-2-2-2-211111111111122000000-1-100
χ2122-2-2222222-2-2-2-2-2-22222-22-22-2-2-2-22-222-2-2002-22-222-2-20000000000000000000000000000
χ2222-2-2222222-2-2-2-2-2-22222-22-22-2-2-2-2-2222-2-200-22-22-2-2220000000000000000000000000000
χ2322-2-222-122-1-21-2-2-212-1-12-2-11-111-212-2-1-111002-2-11-1-111003−30000000033−3−30000003−30000
χ2422-2-222-122-1-21-2-2-212-1-12-2-11-111-212-2-1-111002-2-11-1-11100−3300000000−3−333000000−330000
χ2522-2-222-122-1-21-2-2-212-1-12-2-11-111-21-22-1-11100-221-111-1-1003−30000000033−3−3000000−330000
χ2622-2-222-122-1-21-2-2-212-1-12-2-11-111-21-22-1-11100-221-111-1-100−3300000000−3−3330000003−30000
χ2722-2-22-122-121-2-2-21-2-12-1-112-2-1111-22-2-1-11100-112-2-1-1113−300000033−3−3000000003−3000000
χ2822-2-22-122-121-2-2-21-2-12-1-112-2-1111-22-2-1-11100-112-2-1-111−33000000−3−33300000000−33000000
χ2922-2-22-122-121-2-2-21-2-12-1-112-2-1111-2-22-1-111001-1-2211-1-13−300000033−3−300000000−33000000
χ3022-2-22-122-121-2-2-21-2-12-1-112-2-1111-2-22-1-111001-1-2211-1-1−33000000−3−333000000003−3000000
χ312-22-2222-2-2-2222-2-2-2222-2-2-2-2-22-222002-22-20000000000000000000000000000000000002i−2i
χ322-22-2222-2-2-2222-2-2-2222-2-2-2-2-22-222002-22-2000000000000000000000000000000000000−2i2i
χ332-2-22222-2-2-2-2-2-2222222-22-22-2-22-2-2002-2-22000000000000000000000000002-20000002-200
χ342-2-22222-2-2-2-2-2-2222222-22-22-2-22-2-2002-2-2200000000000000000000000000-22000000-2200
χ352-2-22-1221-2-2-2-21-122-1-121-11-1-2-221100-111-1000000000000003−33−33−33−33−33−32-2000000-1100
χ362-2-22-1221-2-2-2-21-122-1-121-11-1-2-221100-111-1000000000000003−3−333−33−3−33−33-220000001-100
χ372-2-22-1221-2-2-2-21-122-1-121-11-1-2-221100-111-100000000000000−333−3−33−333−33−3-220000001-100
χ382-2-22-1221-2-2-2-21-122-1-121-11-1-2-221100-111-100000000000000−33−33−33−33−33−332-2000000-1100
χ3944444-2-24-2-2-2-244-2-2-2-21-2-2-2-2111-2-244111100-2-2-2-211110000000000000000000000000000
χ4044444-2-24-2-2-2-244-2-2-2-21-2-2-2-2111-2-2-4-41111002222-1-1-1-10000000000000000000000000000
χ414444-24-2-24-24-2-2-24-2-21-2-2-211-2-2-2-21001111040000000000-2-200-2-200001111000000000000
χ424444-24-2-24-24-2-2-24-2-21-2-2-211-2-2-2-210011110-400000000002200220000-1-1-1-1000000000000
χ434444-2-24-2-24-24-2-2-241-2-211-2-2-2-2-21-20011114000000000-2-200-2-20011110000000000000000
χ444444-2-24-2-24-24-2-2-241-2-211-2-2-2-2-21-2001111-400000000022002200-1-1-1-10000000000000000
χ4544-4-44-2-24-2-222-4-422-2-21-22-221-1-1224-411-1-100-22-2211-1-10000000000000000000000000000
χ4644-4-44-2-24-2-222-4-422-2-21-22-221-1-122-4411-1-1002-22-2-1-1110000000000000000000000000000
χ4744-4-4-244-244-4-422-4-4-2-24-22-224-4-42200-2-22200000000000000000000000000000000000000
χ4844-4-4-24-2-24-2-4222-42-21-2-221-1-2222-10011-1-100000000000023−2300000000−3−333000000000000
χ4944-4-4-24-2-24-2-4222-42-21-2-221-1-2222-10011-1-1000000000000−23230000000033−3−3000000000000
χ5044-4-4-2-24-2-242-4222-41-2-21-1-22-222-120011-1-1000000000023−23000000−3−3330000000000000000
χ5144-4-4-2-24-2-242-4222-41-2-21-1-22-222-120011-1-10000000000−232300000033−3−30000000000000000
χ524-44-444-2-4-424-24-4-424-2-2-4-4222-224-200-22-2200000000000000000000000000000000000000
χ534-44-44-24-42-4-244-42-4-24-222-4-42-22-2400-22-2200000000000000000000000000000000000000
χ544-44-44-2-2-422-2-24-422-2-212222-11-1-2-2001-11-10000003-33-30000000000000000000000000000
χ554-44-44-2-2-422-2-24-422-2-212222-11-1-2-2001-11-1000000-33-330000000000000000000000000000
χ564-44-4-2442-4-444-22-4-4-2-242222-44-4-2-200-22-2200000000000000000000000000000000000000
χ574-44-4-24-22-424-2-22-42-21-222-1-12-22-21001-11-100000000000000000000003-3-33000000000000
χ584-44-4-24-22-424-2-22-42-21-222-1-12-22-21001-11-10000000000000000000000-333-3000000000000
χ594-44-4-2-2422-4-24-222-41-2-2-1-1222-221-2001-11-10000000000000000003-3-330000000000000000
χ604-44-4-2-2422-4-24-222-41-2-2-1-1222-221-2001-11-1000000000000000000-333-30000000000000000
χ614-4-4444-2-4-42-42-444-24-2-2-442-222-2-4200-222-200000000000000000000000000000000000000
χ624-4-444-24-42-42-4-44-24-24-22-2-4422-22-400-222-200000000000000000000000000000000000000
χ634-4-444-2-2-42222-44-2-2-2-212-22-2-1-1122001-1-110000003-3-330000000000000000000000000000
χ644-4-444-2-2-42222-44-2-2-2-212-22-2-1-1122001-1-11000000-333-30000000000000000000000000000
χ654-4-44-24-22-42-422-24-2-21-22-2-1122-22-1001-1-11000000000000000023−230000−33−33000000000000
χ664-4-44-24-22-42-422-24-2-21-22-2-1122-22-1001-1-110000000000000000−232300003−33−3000000000000
χ674-4-44-2-2422-42-42-2-241-2-2-112-222-2-12001-1-110000000000000023−2300−33−330000000000000000
χ684-4-44-2-2422-42-42-2-241-2-2-112-222-2-12001-1-1100000000000000−2323003−33−30000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-4-4-4-44444442222-22-22-2-2-2-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-4444-4-4-4444222-2-2-2-2-22-22200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-4444444-4-4-4222-22-22-2-22-2-200-111-100000000000000000000000000000000000000

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