Finite Group Databasebeta

← Group #11723026

Character table — Group #11723026

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444448888121212121212121212121212121212121212121212121212121212181818181818363636363636108
order1222333666666666333666666666366624466666666121212121212121212121212121212124444441212121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111111111111111111111-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1
χ611111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11
χ711111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11
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
χ9222222-122-122-12-122-1-122-1-1-1-1-12-1-1-1-1-120222-1-1-1-1-1-10000-1-1220000-1-1-1-122000000-1-1000
χ10222222-122-122-12-122-1-122-1-1-1-1-12-1-1-1-1-120-222-1-1-1-1-1-1000011-2-200001111-2-200000011000
χ11222222-122-122-12-122-1-122-1-1-1-1-12-1-1-1-1-1-202-2-21111110000-1-1220000-1-1-1-1-2-200000011000
χ12222222-122-122-12-122-1-122-1-1-1-1-12-1-1-1-1-1-20-2-2-2111111000011-2-20000111122000000-1-1000
χ1322222-122-122-12-122-12-1-1-122-1-1-1-12-1-1-1-1220-1-122-1-1-1-122-1-10000-1-1-1-10000000022-1-100000
χ1422222-122-122-12-122-12-1-1-122-1-1-1-12-1-1-1-12-20-1-122-1-1-1-1-2-2110000111100000000-2-21100000
χ1522222-122-122-12-122-12-1-1-122-1-1-1-12-1-1-1-1-22011-2-2111122-1-10000-1-1-1-100000000-2-21100000
χ1622222-122-122-12-122-12-1-1-122-1-1-1-12-1-1-1-1-2-2011-2-21111-2-211000011110000000022-1-100000
χ172222-122-122-12222-1-1-12-1-1-1-1222-1-1-1-1-1-102200000000-1-12222-1-1-1-1-1-1-1-1-1-10022000000-1-10
χ182222-122-122-12222-1-1-12-1-1-1-1222-1-1-1-1-1-102-200000000-1-122-2-211-1-1-1-1111100-2-2000000110
χ192222-122-122-12222-1-1-12-1-1-1-1222-1-1-1-1-1-10-220000000011-2-222-1-11111-1-1-1-100-2-2000000110
χ202222-122-122-12222-1-1-12-1-1-1-1222-1-1-1-1-1-10-2-20000000011-2-2-2-211111111110022000000-1-10
χ2122-2-2222-22-2-2-22-2-222222-2-2-22-2-2-2222-2-200000000000000000000000000000002i−2i2i−2i00000
χ2222-2-2222-22-2-2-22-2-222222-2-2-22-2-2-2222-2-20000000000000000000000000000000−2i2i−2i2i00000
χ2322-2-22-12-2-1-2-2121-22-12-1-11-2-2-11112-1-111000−i3i300−i3−i3i3i3003−3000033−3−3000000002i−2i−ii00000
χ2422-2-22-12-2-1-2-2121-22-12-1-11-2-2-11112-1-111000−i3i300−i3−i3i3i300−330000−3−33300000000−2i2ii−i00000
χ2522-2-22-12-2-1-2-2121-22-12-1-11-2-2-11112-1-111000i3−i300i3i3−i3−i3003−3000033−3−300000000−2i2ii−i00000
χ2622-2-22-12-2-1-2-2121-22-12-1-11-2-2-11112-1-111000i3−i300i3i3−i3−i300−330000−3−333000000002i−2i−ii00000
χ272-22-2222-2-2-222-2-22-2222-2-22-2-22-22-22-22-2000000000000000000000000000002i−2i0000002i−2i0
χ282-22-2222-2-2-222-2-22-2222-2-22-2-22-22-22-22-200000000000000000000000000000−2i2i000000−2i2i0
χ292-22-2-1221-2-2-12-2-221-1-1211-11-22-2-11-11-1100000000000−i3i300003−3−i3i3−i3i333−3−3002i−2i000000−ii0
χ302-22-2-1221-2-2-12-2-221-1-1211-11-22-2-11-11-1100000000000−i3i30000−33−i3i3−i3i3−3−33300−2i2i000000i−i0
χ312-22-2-1221-2-2-12-2-221-1-1211-11-22-2-11-11-1100000000000i3−i300003−3i3−i3i3−i333−3−300−2i2i000000i−i0
χ322-22-2-1221-2-2-12-2-221-1-1211-11-22-2-11-11-1100000000000i3−i30000−33i3−i3i3−i3−3−333002i−2i000000−ii0
χ332-2-222222-22-2-2-22-2-2222-22-22-2-22-2-22-2-220000000000000000000000000002i−2i0000002i−2i000
χ342-2-222222-22-2-2-22-2-2222-22-22-2-22-2-22-2-22000000000000000000000000000−2i2i000000−2i2i000
χ352-2-2222-12-2-1-2-2121-22-1-1-221-111-1-21-111-100000−i3i3−i3i3−i3i300003−30000003−33−32i−2i000000−ii000
χ362-2-2222-12-2-1-2-2121-22-1-1-221-111-1-21-111-100000−i3i3−i3i3−i3i30000−33000000−33−33−2i2i000000i−i000
χ372-2-2222-12-2-1-2-2121-22-1-1-221-111-1-21-111-100000i3−i3i3−i3i3−i300003−30000003−33−3−2i2i000000i−i000
χ382-2-2222-12-2-1-2-2121-22-1-1-221-111-1-21-111-100000i3−i3i3−i3i3−i30000−33000000−33−332i−2i000000−ii000
χ3944444-2-24-2-24-2-2-2-24-2-21-2-2-2-2111-2-21111400-2-2-2-2111100000000000000000000000000000
χ4044444-2-24-2-24-2-2-2-24-2-21-2-2-2-2111-2-21111-4002222-1-1-1-100000000000000000000000000000
χ414444-24-2-24-2-24-24-2-2-21-2-2-211-2-2-2-211111004000000000000-2-2-2-2000011110000000000000
χ424444-24-2-24-2-24-24-2-2-21-2-2-211-2-2-2-21111100-400000000000022220000-1-1-1-10000000000000
χ434444-2-24-2-24-2-24-24-21-2-211-2-2-2-2-21-2111104000000000-2-2-2-20000111100000000000000000
χ444444-2-24-2-24-2-24-24-21-2-211-2-2-2-2-21-211110-400000000022220000-1-1-1-100000000000000000
χ4544-4-444-2-442-4-4-2-4244-2-24-422-222-4-2-2-2220000000000000000000000000000000000000000
χ4644-4-44-2-2-4-22-42-2224-2-21-22221-1-12-211-1-1000−2i32i300i3i3−i3−i300000000000000000000000000000
χ4744-4-44-2-2-4-22-42-2224-2-21-22221-1-12-211-1-10002i3−2i300−i3−i3i3i300000000000000000000000000000
χ4844-4-4-24424-42-44-4-4-2-2-24-22224-4-42-2-2-2220000000000000000000000000000000000000000
χ4944-4-4-24-22422-4-2-42-2-21-2-22-1-1-2222111-1-1000000000000000000000003-3-330000000000000
χ5044-4-4-24-22422-4-2-42-2-21-2-22-1-1-2222111-1-100000000000000000000000-333-30000000000000
χ5144-4-4-2-242-2-42242-4-21-2-21-122-222-1-211-1-1000000000000023−230000−3−33300000000000000000
χ5244-4-4-2-242-2-42242-4-21-2-21-122-222-1-211-1-10000000000000−2323000033−3−300000000000000000
χ534-44-444-2-4-42442-4-2-44-2-2-4-4-222-2242-22-220000000000000000000000000000000000000000
χ544-44-44-24-42-44-2-424-4-24-2224-42-22-2-4-22-220000000000000000000000000000000000000000
χ554-44-44-2-2-4224-222-2-4-2-2122-22-11-1-221-11-100000003-3-3300000000000000000000000000000
χ564-44-44-2-2-4224-222-2-4-2-2122-22-11-1-221-11-10000000-333-300000000000000000000000000000
χ574-44-4-24-22-42-242-4-22-21-2221-12-22-2-11-11-10000000000000000023−230000−3−3330000000000000
χ584-44-4-24-22-42-242-4-22-21-2221-12-22-2-11-11-100000000000000000−2323000033−3−30000000000000
χ594-44-4-2-2422-4-2-2-42421-2-2-1-1-222-22121-11-100000000000−2i32i3000000i3−i3i3−i300000000000000000
χ604-44-4-2-2422-4-2-2-42421-2-2-1-1-222-22121-11-1000000000002i3−2i3000000−i3i3−i3i300000000000000000
χ614-4-444-24424-42-4-2-4-4-24-22-2-4422-22-4-222-20000000000000000000000000000000000000000
χ624-4-444-2-242-2-422-22-4-2-212-22-2-1-11221-1-1100000−2i32i3i3−i3i3−i300000000000000000000000000000
χ634-4-444-2-242-2-422-22-4-2-212-22-2-1-11221-1-11000002i3−2i3−i3i3−i3i300000000000000000000000000000
χ644-4-44-244-2-442-4-44-42-2-242-22-2-4-4422-222-20000000000000000000000000000000000000000
χ654-4-44-24-2-2-4-22-42422-21-22-2-1122-22-11-1-1100000000000000023−23000000−33−330000000000000
χ664-4-44-24-2-2-4-22-42422-21-22-2-1122-22-11-1-11000000000000000−23230000003−33−30000000000000
χ674-4-44-2-24-22422-4-2-421-2-2-112-222-2-121-1-1100000000000000000003i−3i−3i3i00000000000000000
χ684-4-44-2-24-22422-4-2-421-2-2-112-222-2-121-1-110000000000000000000−3i3i3i−3i00000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-4222222222222-1-1-1-10000000000000000000000000000000000000000
χ7088-8-8-4-4-44-4444-444-42222-2-2-22-2-2-22-1-1110000000000000000000000000000000000000000
χ718-88-8-4-4-4444-4-444-44222-2-22-2-22-22-2-11-110000000000000000000000000000000000000000
χ728-8-88-4-4-4-44-4444-444222-22-22-2-22-2-2-111-10000000000000000000000000000000000000000

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