Finite Group Databasebeta

← Group #11723025

Character table — Group #11723025

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order1222333666666666333666666666443666441212121212121212121212121212121212121212121212124424661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-11111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1
χ31111111111111111111111111111111111-1111-1-1111111-1-11111-1-1-1-11111-1-11-111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1111111-1-1111111-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111111-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-111
χ71111111111111111111111111111-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-111
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
χ9222222-122-122-1-1222-1-122-1-1-1-12-1-122-1-1-1-102-1-10022-1-12200-1-1-1-10000-1-1-1-10020-1-1000000
χ10222222-122-122-1-1222-1-122-1-1-1-12-1-122-1-1-1-10-2-1-100-2-2112200-1-1-1-10000111100-2011000000
χ11222222-122-122-1-1222-1-122-1-1-1-12-1-1-2-2-1-1-1-102110022-1-1-2-20011110000-1-1-1-100-2011000000
χ12222222-122-122-1-1222-1-122-1-1-1-12-1-1-2-2-1-1-1-10-21100-2-211-2-2001111000011110020-1-1000000
χ1322222-122-122-1222-1-12-1-1-122-1-1-12-100-1-1-1-1220022-1-12200-1-10000-1-1-1-1-1-1-1-122000000-1-100
χ1422222-122-122-1222-1-12-1-1-122-1-1-12-100-1-1-1-12-2002211-2-200-1-10000-1-1-1-11111-2-20000001100
χ1522222-122-122-1222-1-12-1-1-122-1-1-12-100-1-1-1-1-2200-2-2-1-122001100001111-1-1-1-1-2-20000001100
χ1622222-122-122-1222-1-12-1-1-122-1-1-12-100-1-1-1-1-2-200-2-211-2-2001100001111111122000000-1-100
χ172222-122-122-1222-12-1-12-1-1-1-122-1-1222-1-1-1-12022-1-10000-1-122-1-1-1-1-1-1-1-10000000200-1-10000
χ182222-122-122-1222-12-1-12-1-1-1-122-1-1222-1-1-1-1-2022110000-1-1-2-2-1-1-1-111110000000-200110000
χ192222-122-122-1222-12-1-12-1-1-1-122-1-12-2-2-1-1-1-120-2-2-1-1000011221111-1-1-1-10000000-200110000
χ202222-122-122-1222-12-1-12-1-1-1-122-1-12-2-2-1-1-1-1-20-2-211000011-2-2111111110000000200-1-10000
χ2122-2-2222-22-2-2-22-22-22222-2-2-22-2-22-20022-2-20000000000000000000000000000000000002i−2i
χ2222-2-2222-22-2-2-22-22-22222-2-2-22-2-22-20022-2-2000000000000000000000000000000000000−2i2i
χ232-22-2222-2-222-2-2-2-22222-2-22-2-222-2-22i−2i2-22-2002i−2i0000002i−2i002i2i−2i−2i00000000000000000000
χ242-22-2222-2-222-2-2-2-22222-2-22-2-222-2-2−2i2i2-22-200−2i2i000000−2i2i00−2i−2i2i2i00000000000000000000
χ252-22-222-1-2-2-12-211-222-1-1-2-2-111-12112i−2i-11-1100−ii00003−32i−2i00−i−iii000033−3−30000−i3i3000000
χ262-22-222-1-2-2-12-211-222-1-1-2-2-111-12112i−2i-11-1100−ii0000−332i−2i00−i−iii0000−3−3330000i3−i3000000
χ272-22-222-1-2-2-12-211-222-1-1-2-2-111-1211−2i2i-11-1100i−i00003−3−2i2i00ii−i−i000033−3−30000i3−i3000000
χ282-22-222-1-2-2-12-211-222-1-1-2-2-111-1211−2i2i-11-1100i−i0000−33−2i2i00ii−i−i0000−3−3330000−i3i3000000
χ292-22-2-1221-22-1-2-2-212-1-1211-11-22-11-22i−2i-11-11002i−2i−i3i30000−ii00−i−iii−i3−i3i3i300000000003−30000
χ302-22-2-1221-22-1-2-2-212-1-1211-11-22-11-22i−2i-11-11002i−2ii3−i30000−ii00−i−iiii3i3−i3−i30000000000−330000
χ312-22-2-1221-22-1-2-2-212-1-1211-11-22-11-2−2i2i-11-1100−2i2i−i3i30000i−i00ii−i−i−i3−i3i3i30000000000−330000
χ322-22-2-1221-22-1-2-2-212-1-1211-11-22-11-2−2i2i-11-1100−2i2ii3−i30000i−i00ii−i−ii3i3−i3−i300000000003−30000
χ332-2-222222-2-2-22-22-2-2222-22-22-2-2-2-22002-2-22000000000000000000000000002i−2i0000002i−2i00
χ342-2-222222-2-2-22-22-2-2222-22-22-2-2-2-22002-2-2200000000000000000000000000−2i2i000000−2i2i00
χ352-2-222-1221-2-2-1-22-21-12-11-1-22111-2-100-111-1000000−i3i300003−300003−33−3−i3i3−i3i32i−2i000000−ii00
χ362-2-222-1221-2-2-1-22-21-12-11-1-22111-2-100-111-1000000−i3i30000−330000−33−33−i3i3−i3i3−2i2i000000i−i00
χ372-2-222-1221-2-2-1-22-21-12-11-1-22111-2-100-111-1000000i3−i300003−300003−33−3i3−i3i3−i3−2i2i000000i−i00
χ382-2-222-1221-2-2-1-22-21-12-11-1-22111-2-100-111-1000000i3−i30000−330000−33−33i3−i3i3−i32i−2i000000−ii00
χ3944444-2-24-2-24-2-2-24-2-2-21-2-2-2-211-2-21001111040000-2-2-2-20000000000001111000000000000
χ4044444-2-24-2-24-2-2-24-2-2-21-2-2-2-211-2-210011110-400002222000000000000-1-1-1-1000000000000
χ414444-24-2-24-2-24-2-2-24-21-2-2-211-2-2-21-244111100-2-2000000-2-200111100000000000000000000
χ424444-24-2-24-2-24-2-2-24-21-2-2-211-2-2-21-2-4-4111100220000002200-1-1-1-100000000000000000000
χ434444-2-24-2-24-2-244-2-21-2-211-2-2-2-21-2-20011114000-2-2000000-2-2000011110000000000000000
χ444444-2-24-2-24-2-244-2-21-2-211-2-2-2-21-2-2001111-400022000000220000-1-1-1-10000000000000000
χ4544-4-444-2-442-4-4-224-44-2-24-422-22-4-2200-2-22200000000000000000000000000000000000000
χ4644-4-44-24-4-2-4-424-442-24-2-22-4-4-2224200-2-22200000000000000000000000000000000000000
χ4744-4-44-2-2-4-22-42-2242-2-21-22221-12-2-10011-1-100000000000000000000003i−3i−3i3i000000000000
χ4844-4-44-2-2-4-22-42-2242-2-21-22221-12-2-10011-1-10000000000000000000000−3i3i3i−3i000000000000
χ4944-4-4-24424-42-44-4-2-4-2-24-22224-42-2-400-2-22200000000000000000000000000000000000000
χ5044-4-4-24-22422-4-22-2-4-21-2-22-1-1-222120011-1-1000000000000003-33-300000000000000000000
χ5144-4-4-24-22422-4-22-2-4-21-2-22-1-1-222120011-1-100000000000000-33-3300000000000000000000
χ5244-4-4-2-242-2-4224-4-221-2-21-122-22-1-220011-1-10000000000000000003i−3i−3i3i0000000000000000
χ5344-4-4-2-242-2-4224-4-221-2-21-122-22-1-220011-1-1000000000000000000−3i3i3i−3i0000000000000000
χ544-44-44-24-42442-4-4-4-2-24-2224-42-2-2-4200-22-2200000000000000000000000000000000000000
χ554-44-44-2-2-42-24222-4-2-2-2122-22-11-22-1001-11-10000000023−23000000000000−3−333000000000000
χ564-44-44-2-2-42-24222-4-2-2-2122-22-11-22-1001-11-100000000−232300000000000033−3−3000000000000
χ574-44-4-24-22-4-2-2-42224-21-2221-12-2-2-124i−4i1-11-100−2i2i000000−2i2i00ii−i−i00000000000000000000
χ584-44-4-24-22-4-2-2-42224-21-2221-12-2-2-12−4i4i1-11-1002i−2i0000002i−2i00−i−iii00000000000000000000
χ594-44-4-2-24224-22-4-42-21-2-2-1-1-222-2122001-11-10000−2i32i3000000000000i3i3−i3−i30000000000000000
χ604-44-4-2-24224-22-4-42-21-2-2-1-1-222-2122001-11-100002i3−2i3000000000000−i3−i3i3i30000000000000000
χ614-4-4444-24-42-442-2-4-44-2-2-442-222-42-200-222-200000000000000000000000000000000000000
χ624-4-444-2-2422-4-22-2-42-2-212-22-2-1-1221001-1-11000000−2i32i300000000000000i3−i3i3−i3000000000000
χ634-4-444-2-2422-4-22-2-42-2-212-22-2-1-1221001-1-110000002i3−2i300000000000000−i3i3−i3i3000000000000
χ644-4-44-244-2-4-424-442-4-2-242-22-2-4-422400-222-200000000000000000000000000000000000000
χ654-4-44-24-2-2-42242-22-4-21-22-2-11222-1-2001-1-11000000000000003i−3i−3i3i00000000000000000000
χ664-4-44-24-2-2-42242-22-4-21-22-2-11222-1-2001-1-1100000000000000−3i3i3i−3i00000000000000000000
χ674-4-44-2-24-22-42-2-44221-2-2-112-222-12-2001-1-1100000000000023−230000−33−330000000000000000
χ684-4-44-2-24-22-42-2-44221-2-2-112-222-12-2001-1-11000000000000−232300003−33−30000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-44-4444-44-442222-2-2-22-2-22-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-444-4-44444-4222-2-22-2-222-2-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-4-4444-44-444222-22-22-2-2-2-2200-111-100000000000000000000000000000000000000

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