Finite Group Databasebeta

← Group #11723028

Character table — Group #11723028

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444448888121212121212121212121212121212121212121212121212121212181818181818363636363636108
order122233366666666633366666666636664441212121212121212121212121212121212121212121212124444441212121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11111-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111-1111-1-11111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1
χ4111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111111111111111111111111111-111-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1
χ611111111111111111111111111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11
χ711111111111111111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11
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
χ9222222-122-122-122-12-1-122-1-1-1-12-1-1-1-1-1-10220022-1-100-1-1220000-1-1-1-1-1-1-1-10000220000-1-10
χ10222222-122-122-122-12-1-122-1-1-1-12-1-1-1-1-1-102-200221100-1-1-2-20000-1-1-1-111110000-2-20000110
χ11222222-122-122-122-12-1-122-1-1-1-12-1-1-1-1-1-10-2200-2-2-1-100112200001111-1-1-1-10000-2-20000110
χ12222222-122-122-122-12-1-122-1-1-1-12-1-1-1-1-1-10-2-200-2-2110011-2-20000111111110000220000-1-10
χ1322222-122-122-122-12-12-1-1-122-1-1-12-1-1-1-1-1202-1-100222200-1-1-1-1-1-10000-1-1-1-100220000-1-1000
χ1422222-122-122-122-12-12-1-1-122-1-1-12-1-1-1-1-120-2-1-100-2-2220011-1-1-1-10000111100-2-2000011000
χ1522222-122-122-122-12-12-1-1-122-1-1-12-1-1-1-1-1-202110022-2-200-1-111110000-1-1-1-100-2-2000011000
χ1622222-122-122-122-12-12-1-1-122-1-1-12-1-1-1-1-1-20-21100-2-2-2-2001111110000111100220000-1-1000
χ172222-122-122-122-122-1-12-1-1-1-122-1-12-1-1-1-122022-1-100-1-12200-1-1-1-1-1-1-1-10000220000-1-100000
χ182222-122-122-122-122-1-12-1-1-1-122-1-12-1-1-1-12-20221100-1-1-2-200-1-1-1-111110000-2-200001100000
χ192222-122-122-122-122-1-12-1-1-1-122-1-12-1-1-1-1-220-2-2-1-1001122001111-1-1-1-10000-2-200001100000
χ202222-122-122-122-122-1-12-1-1-1-122-1-12-1-1-1-1-2-20-2-2110011-2-200111111110000220000-1-100000
χ2122-2-22222-2-2-2-22-22-22222-22-2-2-2-2-2222-2-200000000000000000000000000000002i−2i00002i−2i0
χ2222-2-22222-2-2-2-22-22-22222-22-2-2-2-2-2222-2-20000000000000000000000000000000−2i2i0000−2i2i0
χ2322-2-222-12-21-2-2-1-2212-1-12-2-1111-21-1-1-1110000000−i3i3003−300000033−3−3−i3−i3i3i300002i−2i0000−ii0
χ2422-2-222-12-21-2-2-1-2212-1-12-2-1111-21-1-1-1110000000−i3i300−33000000−3−333−i3−i3i3i30000−2i2i0000i−i0
χ2522-2-222-12-21-2-2-1-2212-1-12-2-1111-21-1-1-1110000000i3−i3003−300000033−3−3i3i3−i3−i30000−2i2i0000i−i0
χ2622-2-222-12-21-2-2-1-2212-1-12-2-1111-21-1-1-1110000000i3−i300−33000000−3−333i3i3−i3−i300002i−2i0000−ii0
χ272-22-2222-22-22-2-2-2-22222-22-2-22-2-22-22-22-20000000000000000000000000002i−2i00002i−2i00000
χ282-22-2222-22-22-2-2-2-22222-22-2-22-2-22-22-22-2000000000000000000000000000−2i2i0000−2i2i00000
χ292-22-2-12212-2-1-2-21-22-1-121-1112-21-1-2-11-1100000−i3i3003−3000033−3−3−i3i3−i3i300002i−2i0000−ii00000
χ302-22-2-12212-2-1-2-21-22-1-121-1112-21-1-2-11-1100000−i3i300−330000−3−333−i3i3−i3i30000−2i2i0000i−i00000
χ312-22-2-12212-2-1-2-21-22-1-121-1112-21-1-2-11-1100000i3−i3003−3000033−3−3i3−i3i3−i30000−2i2i0000i−i00000
χ322-22-2-12212-2-1-2-21-22-1-121-1112-21-1-2-11-1100000i3−i300−330000−3−333i3−i3i3−i300002i−2i0000−ii00000
χ332-2-22222-2-22-22-22-2-2222-2-2-22-222-2-22-2-22000000000000000000000000000002i−2i00002i−2i000
χ342-2-22222-2-22-22-22-2-2222-2-2-22-222-2-22-2-2200000000000000000000000000000−2i2i0000−2i2i000
χ352-2-222-12-212-2-1-221-2-12-111-221-1-1-21-111-1000−i3i3000000003−3−i3i3−i3i300003−33−3002i−2i0000−ii000
χ362-2-222-12-212-2-1-221-2-12-111-221-1-1-21-111-1000−i3i300000000−33−i3i3−i3i30000−33−3300−2i2i0000i−i000
χ372-2-222-12-212-2-1-221-2-12-111-221-1-1-21-111-1000i3−i3000000003−3i3−i3i3−i300003−33−300−2i2i0000i−i000
χ382-2-222-12-212-2-1-221-2-12-111-221-1-1-21-111-1000i3−i300000000−33i3−i3i3−i30000−33−33002i−2i0000−ii000
χ3944444-2-24-2-24-2-24-2-2-2-21-2-2-2-211-2-2111110040000-2-20000-2-20000000011110000000000000
χ4044444-2-24-2-24-2-24-2-2-2-21-2-2-2-211-2-21111100-400002200002200000000-1-1-1-10000000000000
χ414444-24-2-24-2-24-2-24-2-21-2-2-211-2-2-21-2111104000-2-20000-2-2000000111100000000000000000
χ424444-24-2-24-2-24-2-24-2-21-2-2-211-2-2-21-211110-400022000022000000-1-1-1-100000000000000000
χ434444-2-24-2-24-2-24-2-241-2-211-2-2-2-21-2-21111400-2-20000-2-200001111000000000000000000000
χ444444-2-24-2-24-2-24-2-241-2-211-2-2-2-21-2-21111-400220000220000-1-1-1-1000000000000000000000
χ4544-4-44-2442-4-424-4-2-4-24-2-224-4222-4-2-2-2220000000000000000000000000000000000000000
χ4644-4-44-2-2422-42-2-4-22-2-21-22-22-1-122111-1-10000000−2i32i300000000000000i3i3−i3−i30000000000000
χ4744-4-44-2-2422-42-2-4-22-2-21-22-22-1-122111-1-100000002i3−2i300000000000000−i3−i3i3i30000000000000
χ4844-4-4-244-2-4-42-4424-4-2-24-22-22-4-4224-2-2220000000000000000000000000000000000000000
χ4944-4-4-24-2-2-422-4-2242-21-2-221-1222-1-211-1-10000000000023−23000000−3−33300000000000000000
χ5044-4-4-24-2-2-422-4-2242-21-2-221-1222-1-211-1-100000000000−232300000033−3−300000000000000000
χ5144-4-4-2-24-22-42242-2-41-2-21-1-2222-12-211-1-10000000000000003i−3i−3i3i000000000000000000000
χ5244-4-4-2-24-22-42242-2-41-2-21-1-2222-12-211-1-1000000000000000−3i3i3i−3i000000000000000000000
χ534-44-444-2-4424-42-4-4-24-2-2-4422-22-4-22-22-220000000000000000000000000000000000000000
χ544-44-44-24-4-2-442-4-424-24-22-2-4-4-22242-22-220000000000000000000000000000000000000000
χ554-44-44-2-2-4-22422-42-2-2-212-2221-12-2-11-11-1000000000000000000000003i−3i−3i3i0000000000000
χ564-44-44-2-2-4-22422-42-2-2-212-2221-12-2-11-11-100000000000000000000000−3i3i3i−3i0000000000000
χ574-44-4-24-2242-2-422-4-2-21-22-2-1-1-222121-11-100000−2i32i3000000000000i3−i3i3−i300000000000000000
χ584-44-4-24-2242-2-422-4-2-21-22-2-1-1-222121-11-1000002i3−2i3000000000000−i3i3−i3i300000000000000000
χ594-44-4-2-242-2-4-22-42241-2-2-1122-22-1-221-11-100000000023−230000−3−333000000000000000000000
χ604-44-4-2-242-2-4-22-42241-2-2-1122-22-1-221-11-1000000000−2323000033−3−3000000000000000000000
χ614-4-4444-2-4-4-2-4424-424-2-2-4-42-22-2422-222-20000000000000000000000000000000000000000
χ624-4-444-2-2-42-2-4-22422-2-21222-2-11-22-11-1-11000000000000023−2300000000−33−330000000000000
χ634-4-444-2-2-42-2-4-22422-2-21222-2-11-22-11-1-110000000000000−2323000000003−33−30000000000000
χ644-4-44-2442-4424-4-2-4-4-2-24222-2-44-22-4-222-20000000000000000000000000000000000000000
χ654-4-44-24-22-4-2242-2-42-21-222-112-2-2-121-1-1100000000000000000003i−3i−3i3i00000000000000000
χ664-4-44-24-22-4-2242-2-42-21-222-112-2-2-121-1-110000000000000000000−3i3i3i−3i00000000000000000
χ674-4-44-2-242242-2-4-22-41-2-2-1-12-22-21221-1-11000−2i32i30000000000i3−i3i3−i3000000000000000000000
χ684-4-44-2-242242-2-4-22-41-2-2-1-12-22-21221-1-110002i3−2i30000000000−i3i3−i3i3000000000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-4222222222222-1-1-1-10000000000000000000000000000000000000000
χ7088-8-8-4-4-4-44444-44-442222-22-2-2-2-2-22-1-1110000000000000000000000000000000000000000
χ718-88-8-4-4-44-44-44444-4222-22-2-22-2-22-2-11-110000000000000000000000000000000000000000
χ728-8-88-4-4-444-44-44-444222-2-2-22-222-2-2-111-10000000000000000000000000000000000000000

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