Finite Group Databasebeta

← Group #11722983

Character table — Group #11722983

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order1222333666666666333666666666443666441212121212121212121212121212121212121212121212122244661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-11111-1-111-1-11111111111-1-1-1-1-1-1-11-1-1-1-111-1-1
χ31111111111111111111111111111111111-11-1-1-1-1111111111111-1-1-1-11111-1-11-1-1-111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ51111111111111111111111111111-1-1111111111111-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-111
χ71111111111111111111111111111-1-11111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-11111
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
χ9222222-122-12-1-12222-1-122-1-1-1-12-1-100-1-1-1-12222-1-1-1-10022000000-1-1-1-1-1-1-1-12200-1-1000000
χ10222222-122-12-1-12222-1-122-1-1-1-12-1-100-1-1-1-12-222-1-11100-2-2000000-1-1-1-11111-2-20011000000
χ11222222-122-12-1-12222-1-122-1-1-1-12-1-100-1-1-1-1-22-2-211-1-100220000001111-1-1-1-1-2-20011000000
χ12222222-122-12-1-12222-1-122-1-1-1-12-1-100-1-1-1-1-2-2-2-2111100-2-2000000111111112200-1-1000000
χ1322222-122-12222-1-12-12-1-1-122-1-1-12-122-1-1-1-102000022-1-1-1-122-1-1-1-10000-1-1-1-1002000-1-10000
χ1422222-122-12222-1-12-12-1-1-122-1-1-12-122-1-1-1-10-20000-2-2-1-11122-1-1-1-10000111100-2000110000
χ1522222-122-12222-1-12-12-1-1-122-1-1-12-1-2-2-1-1-1-10200002211-1-1-2-211110000-1-1-1-100-2000110000
χ1622222-122-12222-1-12-12-1-1-122-1-1-12-1-2-2-1-1-1-10-20000-2-21111-2-2111100001111002000-1-10000
χ172222-122-122-12222-1-1-12-1-1-1-122-1-1222-1-1-1-120-1-122002200-1-1-1-1-1-1-1-1-1-1000000020000-1-100
χ182222-122-122-12222-1-1-12-1-1-1-122-1-1222-1-1-1-1-2011-2-2002200-1-1-1-1-1-111110000000-200001100
χ192222-122-122-12222-1-1-12-1-1-1-122-1-12-2-2-1-1-1-120-1-12200-2-200111111-1-1-1-10000000-200001100
χ202222-122-122-12222-1-1-12-1-1-1-122-1-12-2-2-1-1-1-1-2011-2-200-2-2001111111111000000020000-1-100
χ2122-2-2222222-2-2-2-2-2-22222-22-22-2-2-2-20022-2-2000000000000000000000000002-2002-2000000
χ2222-2-2222222-2-2-2-2-2-22222-22-22-2-2-2-20022-2-200000000000000000000000000-2200-22000000
χ2322-2-222-122-1-211-2-2-22-1-12-2-11-11-21100-1-11100003−33−3000000000033−3−333−3−32-200-11000000
χ2422-2-222-122-1-211-2-2-22-1-12-2-11-11-21100-1-11100003−3−33000000000033−3−3−3−333-22001-1000000
χ2522-2-222-122-1-211-2-2-22-1-12-2-11-11-21100-1-1110000−333−30000000000−3−33333−3−3-22001-1000000
χ2622-2-222-122-1-211-2-2-22-1-12-2-11-11-21100-1-1110000−33−330000000000−3−333−3−3332-200-11000000
χ272-22-2222-2-2-222-2-22-2222-22-2-2-22-22-22i−2i2-22-2000000002i−2i002i−2i2i2i−2i−2i00000000000000000000
χ282-22-2222-2-2-222-2-22-2222-22-2-2-22-22-2−2i2i2-22-200000000−2i2i00−2i2i−2i−2i2i2i00000000000000000000
χ292-22-22-12-21-222-21-1-2-12-11-1-2-21-11212i−2i-11-1100000000−ii3−32i−2i−i−iii00003−33−3000000−i3i30000
χ302-22-22-12-21-222-21-1-2-12-11-1-2-21-11212i−2i-11-1100000000−ii−332i−2i−i−iii0000−33−33000000i3−i30000
χ312-22-22-12-21-222-21-1-2-12-11-1-2-21-1121−2i2i-11-1100000000i−i3−3−2i2iii−i−i00003−33−3000000i3−i30000
χ322-22-22-12-21-222-21-1-2-12-11-1-2-21-1121−2i2i-11-1100000000i−i−33−2i2iii−i−i0000−33−33000000−i3i30000
χ332-22-2-1221-2-2-12-2-221-1-121-111-221-1-22i−2i-11-1100−i3i300002i−2i00−ii−i−iii−i3i3−i3i30000000000003−300
χ342-22-2-1221-2-2-12-2-221-1-121-111-221-1-22i−2i-11-1100i3−i300002i−2i00−ii−i−iiii3−i3i3−i3000000000000−3300
χ352-22-2-1221-2-2-12-2-221-1-121-111-221-1-2−2i2i-11-1100−i3i30000−2i2i00i−iii−i−i−i3i3−i3i3000000000000−3300
χ362-22-2-1221-2-2-12-2-221-1-121-111-221-1-2−2i2i-11-1100i3−i30000−2i2i00i−iii−i−ii3−i3i3−i30000000000003−300
χ372-2-22222-2-2-2-2-222-22222-2-2-22-2-22-22002-2-220000000000000000000000000000000000002-2
χ382-2-22222-2-2-2-2-222-22222-2-2-22-2-22-22002-2-22000000000000000000000000000000000000-22
χ3944444-2-24-2-24-2-2-2-24-2-21-2-2-2-211-2-21001111040000-2-200-2-200000000001111000000000000
χ4044444-2-24-2-24-2-2-2-24-2-21-2-2-2-211-2-210011110-400002200220000000000-1-1-1-1000000000000
χ414444-24-2-24-2-2-2-244-2-21-2-2-211-2-2-21-200111140-2-2-2-200000000000011110000000000000000
χ424444-24-2-24-2-2-2-244-2-21-2-2-211-2-2-21-2001111-402222000000000000-1-1-1-10000000000000000
χ434444-2-24-2-24-244-2-2-21-2-211-2-2-2-21-2-244111100000000-2-200-2-2111100000000000000000000
χ444444-2-24-2-24-244-2-2-21-2-211-2-2-2-21-2-2-4-4111100000000220022-1-1-1-100000000000000000000
χ4544-4-44-244-24-4-4-422-4-24-2-224-4-222-4200-2-22200000000000000000000000000000000000000
χ4644-4-44-2-24-2-2-42222-4-2-21-22-221-122-10011-1-100000023−2300000000000000−3−333000000000000
χ4744-4-44-2-24-2-2-42222-4-2-21-22-221-122-10011-1-1000000−23230000000000000033−3−3000000000000
χ4844-4-4-244-2442-4-4-4-42-2-24-22-224-422-400-2-22200000000000000000000000000000000000000
χ4944-4-4-24-2-24-2222-4-42-21-2-221-1-222-120011-1-1000023−23000000000000−3−3330000000000000000
χ5044-4-4-24-2-24-2222-4-42-21-2-221-1-222-120011-1-10000−232300000000000033−3−30000000000000000
χ5144-4-4-2-24-2-242-4-42221-2-21-1-22-22-1220011-1-1000000000000003i−3i3i−3i00000000000000000000
χ5244-4-4-2-24-2-242-4-42221-2-21-1-22-22-1220011-1-100000000000000−3i3i−3i3i00000000000000000000
χ534-44-444-2-4-424-22-44-44-2-2-44222-2-4-2200-22-2200000000000000000000000000000000000000
χ544-44-44-2-2-4224-222-2-4-2-212-222-112-2-1001-11-1000000000023−230000000000−33−33000000000000
χ554-44-44-2-2-4224-222-2-4-2-212-222-112-2-1001-11-10000000000−232300000000003−33−3000000000000
χ564-44-4-24-22-42-2-22-442-21-22-2-1-12-2212001-11-100−2i32i300000000000000i3−i3i3−i30000000000000000
χ574-44-4-24-22-42-2-22-442-21-22-2-1-12-2212001-11-1002i3−2i300000000000000−i3i3−i3i30000000000000000
χ584-44-4-2-2422-4-24-42-221-2-2-11222-2-1-224i−4i1-11-100000000−2i2i00−2i2iii−i−i00000000000000000000
χ594-44-4-2-2422-4-24-42-221-2-2-11222-2-1-22−4i4i1-11-1000000002i−2i002i−2i−i−iii00000000000000000000
χ604-4-4444-2-4-42-42-24-444-2-2-4-42-22242-200-222-200000000000000000000000000000000000000
χ614-4-444-24-42-4-4-44-224-24-222-4422-2-4-200-222-200000000000000000000000000000000000000
χ624-4-444-2-2-422-42-2-224-2-21222-2-1-1-221001-1-1100000000000000000000003-3-33000000000000
χ634-4-444-2-2-422-42-2-224-2-21222-2-1-1-221001-1-110000000000000000000000-333-3000000000000
χ644-4-44-2442-4-42-444-4-2-2-24222-2-4-4-22400-222-200000000000000000000000000000000000000
χ654-4-44-24-22-4222-24-4-2-21-222-1122-2-1-2001-1-110000000000000000003i−3i−3i3i0000000000000000
χ664-4-44-24-22-4222-24-4-2-21-222-1122-2-1-2001-1-11000000000000000000−3i3i3i−3i0000000000000000
χ674-4-44-2-2422-42-44-22-21-2-2-1-12-22212-2001-1-11000000000000003-3-3300000000000000000000
χ684-4-44-2-2422-42-44-22-21-2-2-1-12-22212-2001-1-1100000000000000-333-300000000000000000000
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
χ718-88-8-4-4-4444-4-444-44222-22-2-2-22-22-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-444444-4-44-4222-2-2-22-2-22-2200-111-100000000000000000000000000000000000000

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