Finite Group Databasebeta

← Group #11723037

Character table — Group #11723037

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order122233366666666633366666666644366644121212121212121212121212121212121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1111111-1-111-1-111111111-1-1-1-1-1-11-1-1-111-1-1-1-1
χ31111111111111111111111111111111111-111111-1-111-1-1111111-1-1-1-11111-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ51111111111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111111111-1-11111-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111
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
χ9222222-122-122-1-1222-1-122-1-1-1-12-1-100-1-1-1-1220000-1-1-1-122220000-1-1-1-1-1-1-1-12200-1-1000000
χ10222222-122-122-1-1222-1-122-1-1-1-12-1-100-1-1-1-12-20000-1-11122-2-20000-1-1-1-11111-2-20011000000
χ11222222-122-122-1-1222-1-122-1-1-1-12-1-100-1-1-1-1-22000011-1-1-2-22200001111-1-1-1-1-2-20011000000
χ12222222-122-122-1-1222-1-122-1-1-1-12-1-100-1-1-1-1-2-200001111-2-2-2-20000111111112200-1-1000000
χ1322222-122-122-1222-1-12-1-1-122-1-1-12-122-1-1-1-10222-1-1002200-1-1-1-1-1-10000-1-1-1-100020000-1-100
χ1422222-122-122-1222-1-12-1-1-122-1-1-12-122-1-1-1-10-222-1-100-2-20011-1-1-1-100001111000-200001100
χ1522222-122-122-1222-1-12-1-1-122-1-1-12-1-2-2-1-1-1-102-2-211002200-1-111110000-1-1-1-1000-200001100
χ1622222-122-122-1222-1-12-1-1-122-1-1-12-1-2-2-1-1-1-10-2-2-21100-2-2001111110000111100020000-1-100
χ172222-122-122-1222-12-1-12-1-1-1-122-1-1222-1-1-1-120-1-1222200-1-100-1-1-1-1-1-1-1-10000002000-1-10000
χ182222-122-122-1222-12-1-12-1-1-1-122-1-1222-1-1-1-1-20-1-122-2-2001100-1-1-1-11111000000-2000110000
χ192222-122-122-1222-12-1-12-1-1-1-122-1-12-2-2-1-1-1-12011-2-22200-1-1001111-1-1-1-1000000-2000110000
χ202222-122-122-1222-12-1-12-1-1-1-122-1-12-2-2-1-1-1-1-2011-2-2-2-2001100111111110000002000-1-10000
χ2122-2-2222-2-2222-2-2-2-2222-2-22-22-22-2-22-222-2-2002-22-20000000022-2-200000000000000000000
χ2222-2-2222-2-2222-2-2-2-2222-2-22-22-22-2-2-2222-2-200-22-2200000000-2-22200000000000000000000
χ2322-2-22-12-2122-1-2-2-21-12-1112-2-11-1-212-2-1-111002-2-110000003−3-1-111000033−3−3000000003−300
χ2422-2-22-12-2122-1-2-2-21-12-1112-2-11-1-212-2-1-111002-2-11000000−33-1-1110000−3−33300000000−3300
χ2522-2-22-12-2122-1-2-2-21-12-1112-2-11-1-21-22-1-11100-221-10000003−311-1-1000033−3−300000000−3300
χ2622-2-22-12-2122-1-2-2-21-12-1112-2-11-1-21-22-1-11100-221-1000000−3311-1-10000−3−333000000003−300
χ2722-2-2-1221-22-12-2-21-2-1-1211-112-2-11-22-2-1-11100-112-200003−300-1-11133−3−300000000003−30000
χ2822-2-2-1221-22-12-2-21-2-1-1211-112-2-11-22-2-1-11100-112-20000−3300-1-111−3−3330000000000−330000
χ2922-2-2-1221-22-12-2-21-2-1-1211-112-2-11-2-22-1-111001-1-2200003−30011-1-133−3−30000000000−330000
χ3022-2-2-1221-22-12-2-21-2-1-1211-112-2-11-2-22-1-111001-1-220000−330011-1-1−3−33300000000003−30000
χ312-22-222222-2-2-2-22-2-22222-2-22-22-2-2-2002-22-2000000000000000000000000002-2002-2000000
χ322-22-222222-2-2-2-22-2-22222-2-22-22-2-2-2002-22-200000000000000000000000000-2200-22000000
χ332-22-222-1221-2-21-1-2-22-1-12-21-11-1-21100-11-110000003−33−3000000003−33−33−33−32-200-11000000
χ342-22-222-1221-2-21-1-2-22-1-12-21-11-1-21100-11-110000003−3−33000000003−33−3−33−33-22001-1000000
χ352-22-222-1221-2-21-1-2-22-1-12-21-11-1-21100-11-11000000−333−300000000−33−333−33−3-22001-1000000
χ362-22-222-1221-2-21-1-2-22-1-12-21-11-1-21100-11-11000000−33−3300000000−33−33−33−332-200-11000000
χ372-2-22222-2-2-2-2-22-222222-22-2-2-2-2-222002-2-220000000000000000000000000000000000002-2
χ382-2-22222-2-2-2-2-22-222222-22-2-2-2-2-222002-2-22000000000000000000000000000000000000-22
χ3944444-2-24-2-24-2-2-24-2-2-21-2-2-2-211-2-2100111104000000-2-200-2-2000000001111000000000000
χ4044444-2-24-2-24-2-2-24-2-2-21-2-2-2-211-2-210011110-400000022002200000000-1-1-1-1000000000000
χ414444-24-2-24-2-24-2-2-24-21-2-2-211-2-2-21-2001111400000-2-200-2-200000011110000000000000000
χ424444-24-2-24-2-24-2-2-24-21-2-2-211-2-2-21-2001111-400000220022000000-1-1-1-10000000000000000
χ434444-2-24-2-24-2-244-2-21-2-211-2-2-2-21-2-244111100-2-2-2-200000000111100000000000000000000
χ444444-2-24-2-24-2-244-2-21-2-211-2-2-2-21-2-2-4-4111100222200000000-1-1-1-100000000000000000000
χ4544-4-444-2-4-4-24422-4-44-2-2-4-4-22-2242200-2-22200000000000000000000000000000000000000
χ4644-4-44-2-2-42-24-222-42-2-2122-221-1-22-10011-1-100000000000023−2300000000−3−333000000000000
χ4744-4-44-2-2-42-24-222-42-2-2122-221-1-22-10011-1-1000000000000−23230000000033−3−3000000000000
χ4844-4-4-24-22-4-2-24222-4-21-2221-1-22-2-120011-1-1000000000023−23000000−3−3330000000000000000
χ4944-4-4-24-22-4-2-24222-4-21-2221-1-22-2-120011-1-10000000000−232300000033−3−30000000000000000
χ5044-4-4-2-24224-2-2-4-4221-2-2-1-1-22-221224-411-1-100-22-220000000011-1-100000000000000000000
χ5144-4-4-2-24224-2-2-4-4221-2-2-1-1-22-22122-4411-1-1002-22-200000000-1-11100000000000000000000
χ524-44-44-244-2-4-42-44-42-24-2-22-442-22-4200-22-2200000000000000000000000000000000000000
χ534-44-44-2-24-22-422-2-42-2-21-222-2-1122-1001-11-10000000023−23000000000000−33−33000000000000
χ544-44-44-2-24-22-422-2-42-2-21-222-2-1122-1001-11-100000000−23230000000000003−33−3000000000000
χ554-44-4-244-24-42-4-442-4-2-24-222-2-4422-400-22-2200000000000000000000000000000000000000
χ564-44-4-24-2-2422-42-22-4-21-2-22-112-22-12001-11-100000023−230000000000−33−330000000000000000
χ574-44-4-24-2-2422-42-22-4-21-2-22-112-22-12001-11-1000000−232300000000003−33−30000000000000000
χ584-44-4-2-24-2-2-422-44221-2-21-12-22-2-122001-11-1000000000000003i−3i3i−3i00000000000000000000
χ594-44-4-2-24-2-2-422-44221-2-21-12-22-2-122001-11-100000000000000−3i3i−3i3i00000000000000000000
χ604-4-4444-2-4-42-4-4-22444-2-2-442222-4-2-200-222-200000000000000000000000000000000000000
χ614-4-444-24-42-4-424-44-2-24-22-2-4-42224-200-222-200000000000000000000000000000000000000
χ624-4-444-2-2-422-42-224-2-2-212-222-1-12-21001-1-1100000000000000000000003-3-33000000000000
χ634-4-444-2-2-422-42-224-2-2-212-222-1-12-21001-1-110000000000000000000000-333-3000000000000
χ644-4-44-2442-4-42-44-4-24-2-242-222-4-42-2400-222-200000000000000000000000000000000000000
χ654-4-44-24-22-422-4-22-24-21-22-2-1-12221-2001-1-110000000000000000003-3-330000000000000000
χ664-4-44-24-22-422-4-22-24-21-22-2-1-12221-2001-1-11000000000000000000-333-30000000000000000
χ674-4-44-2-2422-4224-4-2-21-2-2-112222-1-2-2001-1-11000000000000003i−3i−3i3i00000000000000000000
χ684-4-44-2-2422-4224-4-2-21-2-2-112222-1-2-2001-1-1100000000000000−3i3i3i−3i00000000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-444-4-4-44444222-2-22-22-22-2-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-4-4-44444-4442222-2-22-22-2-2-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-444444-44-4-4222-22-2-2-2-2-22200-111-100000000000000000000000000000000000000

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