Finite Group Databasebeta

← Group #11722980

Character table — Group #11722980

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order1222333666666666333666666666223666446666666612121212121212121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1111111111111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1111111111-1-1-1-11111-1-1-1-11111-1-11-1-1-111-1-1-1-1
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
χ61111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-111
χ71111111111111111111111111111-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-111
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
χ9222222-122-122-12-122-1-122-1-1-1-1-12-122-1-1-1-10222-1-1-1-1-1-10000-1-1220000-1-1-1-1002000-1-10000
χ10222222-122-122-12-122-1-122-1-1-1-1-12-122-1-1-1-10-222-1-1-1-1-1-1000011-2-20000111100-2000110000
χ11222222-122-122-12-122-1-122-1-1-1-1-12-1-2-2-1-1-1-102-2-21111110000-1-1220000-1-1-1-100-2000110000
χ12222222-122-122-12-122-1-122-1-1-1-1-12-1-2-2-1-1-1-10-2-2-2111111000011-2-200001111002000-1-10000
χ1322222-122-122-12-122-12-1-1-122-1-1-1-1222-1-1-1-120-1-122-1-1-1-122-1-10000-1-1-1-100000002-1-1000000
χ1422222-122-122-12-122-12-1-1-122-1-1-1-1222-1-1-1-1-20-1-122-1-1-1-1-2-211000011110000000-211000000
χ1522222-122-122-12-122-12-1-1-122-1-1-1-12-2-2-1-1-1-12011-2-2111122-1-10000-1-1-1-10000000-211000000
χ1622222-122-122-12-122-12-1-1-122-1-1-1-12-2-2-1-1-1-1-2011-2-21111-2-2110000111100000002-1-1000000
χ172222-122-122-12222-1-1-12-1-1-1-1222-1-100-1-1-1-12200000000-1-12222-1-1-1-1-1-1-1-1-1-122000000-1-100
χ182222-122-122-12222-1-1-12-1-1-1-1222-1-100-1-1-1-12-200000000-1-122-2-211-1-1-1-11111-2-20000001100
χ192222-122-122-12222-1-1-12-1-1-1-1222-1-100-1-1-1-1-220000000011-2-222-1-11111-1-1-1-1-2-20000001100
χ202222-122-122-12222-1-1-12-1-1-1-1222-1-100-1-1-1-1-2-20000000011-2-2-2-2111111111122000000-1-100
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
χ2322-2-222-122-1-2-21-21-22-1-12-2-11-111-212-2-1-111002-2-11-1-11100003−300000033−3−30000003−30000
χ2422-2-222-122-1-2-21-21-22-1-12-2-11-111-212-2-1-111002-2-11-1-1110000−33000000−3−333000000−330000
χ2522-2-222-122-1-2-21-21-22-1-12-2-11-111-21-22-1-11100-221-111-1-100003−300000033−3−3000000−330000
χ2622-2-222-122-1-2-21-21-22-1-12-2-11-111-21-22-1-11100-221-111-1-10000−33000000−3−3330000003−30000
χ2722-2-22-122-12-21-21-2-2-12-1-112-2-1111-22-2-1-11100-112-2-1-111003−3000033−3−3000000003−3000000
χ2822-2-22-122-12-21-21-2-2-12-1-112-2-1111-22-2-1-11100-112-2-1-11100−330000−3−33300000000−33000000
χ2922-2-22-122-12-21-21-2-2-12-1-112-2-1111-2-22-1-111001-1-2211-1-1003−3000033−3−300000000−33000000
χ3022-2-22-122-12-21-21-2-2-12-1-112-2-1111-2-22-1-111001-1-2211-1-100−330000−3−333000000003−3000000
χ312-22-2222-2-2-222-2-22-2222-2-2-22-22-22-2002-22-2000000000000000000000000002i−2i0000002i−2i00
χ322-22-2222-2-2-222-2-22-2222-2-2-22-22-22-2002-22-200000000000000000000000000−2i2i000000−2i2i00
χ332-22-2-1221-2-2-12-2-221-1-12111-1-22-2-1100-11-110000000000−i3i300003−3−i3i3−i3i33−33−32i−2i000000−ii00
χ342-22-2-1221-2-2-12-2-221-1-12111-1-22-2-1100-11-110000000000−i3i30000−33−i3i3−i3i3−33−33−2i2i000000i−i00
χ352-22-2-1221-2-2-12-2-221-1-12111-1-22-2-1100-11-110000000000i3−i300003−3i3−i3i3−i33−33−3−2i2i000000i−i00
χ362-22-2-1221-2-2-12-2-221-1-12111-1-22-2-1100-11-110000000000i3−i30000−33i3−i3i3−i3−33−332i−2i000000−ii00
χ372-2-22222-2-2-2-2-222-22222-22-2-2-2-22-22002-2-220000000000000000000000000000000000002-2
χ382-2-22222-2-2-2-2-222-22222-22-2-2-2-22-22002-2-22000000000000000000000000000000000000-22
χ3944444-2-24-2-24-2-2-2-24-2-21-2-2-2-2111-2-244111100-2-2-2-211110000000000000000000000000000
χ4044444-2-24-2-24-2-2-2-24-2-21-2-2-2-2111-2-2-4-41111002222-1-1-1-10000000000000000000000000000
χ414444-24-2-24-2-24-24-2-2-21-2-2-211-2-2-2-2100111104000000000000-2-2-2-200001111000000000000
χ424444-24-2-24-2-24-24-2-2-21-2-2-211-2-2-2-210011110-400000000000022220000-1-1-1-1000000000000
χ434444-2-24-2-24-2-24-24-21-2-211-2-2-2-2-21-20011114000000000-2-2-2-2000011110000000000000000
χ444444-2-24-2-24-2-24-24-21-2-211-2-2-2-2-21-2001111-400000000022220000-1-1-1-10000000000000000
χ4544-4-44-2-24-2-2-42222-4-2-21-22-221-1-1224-411-1-100-22-2211-1-10000000000000000000000000000
χ4644-4-44-2-24-2-2-42222-4-2-21-22-221-1-122-4411-1-1002-22-2-1-1110000000000000000000000000000
χ4744-4-4-244-2442-4-4-4-42-2-24-22-224-4-42200-2-22200000000000000000000000000000000000000
χ4844-4-4-24-2-24-22-42-422-21-2-221-1-2222-10011-1-10000000000000023−23000000−3−333000000000000
χ4944-4-4-24-2-24-22-42-422-21-2-221-1-2222-10011-1-100000000000000−232300000033−3−3000000000000
χ5044-4-4-2-24-2-2422-42-421-2-21-1-22-222-120011-1-100000000000023−230000−3−3330000000000000000
χ5144-4-4-2-24-2-2422-42-421-2-21-1-22-222-120011-1-1000000000000−2323000033−3−30000000000000000
χ524-44-444-2-4-42442-4-2-44-2-2-4-42-22-224200-22-2200000000000000000000000000000000000000
χ534-44-44-24-42-44-2-424-4-24-222-442-22-2-400-22-2200000000000000000000000000000000000000
χ544-44-44-2-2-4224-222-2-4-2-21222-2-11-1-22001-11-10000003-33-30000000000000000000000000000
χ554-44-44-2-2-4224-222-2-4-2-21222-2-11-1-22001-11-1000000-33-330000000000000000000000000000
χ564-44-4-24-22-42-242-4-22-21-222-112-22-2-1001-11-1000000000000000023−230000−33−33000000000000
χ574-44-4-24-22-42-242-4-22-21-222-112-22-2-1001-11-10000000000000000−232300003−33−3000000000000
χ584-44-4-2-2422-4-2-2-42421-2-2-1-12-22-2212001-11-10000000000−2i32i3000000i3−i3i3−i30000000000000000
χ594-44-4-2-2422-4-2-2-42421-2-2-1-12-22-2212001-11-100000000002i3−2i3000000−i3i3−i3i30000000000000000
χ604-4-4444-2-4-42-4-4-24244-2-2-442222-2-4-200-222-200000000000000000000000000000000000000
χ614-4-444-24-42-4-424-2-44-24-22-2-4-422-22400-222-200000000000000000000000000000000000000
χ624-4-444-2-2-422-42-2-224-2-212-222-1-112-2001-1-110000003-3-330000000000000000000000000000
χ634-4-444-2-2-422-42-2-224-2-212-222-1-112-2001-1-11000000-333-30000000000000000000000000000
χ644-4-44-2442-4-42-444-4-2-2-242-222-4-442-200-222-200000000000000000000000000000000000000
χ654-4-44-24-22-422-4-242-2-21-22-2-1-122-221001-1-1100000000000000000000003-3-33000000000000
χ664-4-44-24-22-422-4-242-2-21-22-2-1-122-221001-1-110000000000000000000000-333-3000000000000
χ674-4-44-2-2422-4224-2-4-21-2-2-112222-2-1-2001-1-110000000000000000003i−3i−3i3i0000000000000000
χ684-4-44-2-2422-4224-2-4-21-2-2-112222-2-1-2001-1-11000000000000000000−3i3i3i−3i0000000000000000
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
χ718-88-8-4-4-4444-4-444-44222-2-2-22-22-22-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-444444-4-44-4222-22-2-2-2-22-2200-111-100000000000000000000000000000000000000

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