Finite Group Databasebeta

← Group #11721114

Character table — Group #11721114

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order1222344666121233666666121212123666121212121212444412121212121212122244666612121212
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-1
χ611111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111
χ711111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ811111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ92222222222222-122-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ102222222222222-122-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000
χ11222222222222-12-1-1222-12222-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1
χ12222222222222-12-1-1222-12222-1-1-1-1-1-1-1-1-1-100000000000000-2-200001111
χ1322222-2-2222-2-22-122-1-1-121111-1-1-1-1-2-2111122-2-2-1-1-1-11111000000000000
χ1422222-2-2222-2-22-122-1-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-1000000000000
χ1522222-2-2222-2-2-12-1-1222-1-2-2-2-2-1-1-1-1111111000000000000002-20000-1-111
χ1622222-2-2222-2-2-12-1-1222-1-2-2-2-2-1-1-1-111111100000000000000-22000011-1-1
χ1722-2-22002-2-200222-2-22-2-2000022-2-2000000002i−2i00002i2i−2i−2i000000000000
χ1822-2-22002-2-200222-2-22-2-2000022-2-200000000−2i2i0000−2i−2i2i2i000000000000
χ1922-2-22002-2-2002-12-21-11-233−3−3-1-1110033−3−3002i−2i−i3−i3i3i3−i−iii000000000000
χ2022-2-22002-2-2002-12-21-11-233−3−3-1-1110033−3−300−2i2ii3i3−i3−i3ii−i−i000000000000
χ2122-2-22002-2-2002-12-21-11-2−3−333-1-11100−3−333002i−2ii3i3−i3−i3−i−iii000000000000
χ2222-2-22002-2-2002-12-21-11-2−3−333-1-11100−3−33300−2i2i−i3−i3i3i3ii−i−i000000000000
χ232-22-2200-22-20022-22-2-22-200002-22-20000002i−2i002i−2i2i−2i0000000000000000
χ242-22-2200-22-20022-22-2-22-200002-22-2000000−2i2i00−2i2i−2i2i0000000000000000
χ252-22-2200-22-2002-1-2211-1-23−33−3-11-11003−33−32i−2i00−ii−ii−i3i3−i3i3000000000000
χ262-22-2200-22-2002-1-2211-1-23−33−3-11-11003−33−3−2i2i00i−ii−ii3−i3i3−i3000000000000
χ272-22-2200-22-2002-1-2211-1-2−33−33-11-1100−33−332i−2i00−ii−iii3−i3i3−i3000000000000
χ282-22-2200-22-2002-1-2211-1-2−33−33-11-1100−33−33−2i2i00i−ii−i−i3i3−i3i3000000000000
χ292-2-2222-2-2-222-222-2-22-2-222-2-222-2-222-22-2-22000000000000000000000000
χ302-2-2222-2-2-222-22-1-2-2-1112-111-1-111-12-2-111-100003−3−33−333−3000000000000
χ312-2-2222-2-2-222-22-1-2-2-1112-111-1-111-12-2-111-10000−333−33−3−33000000000000
χ322-2-2222-2-2-222-2-12112-2-2-12-2-22-111-1-11-111-100000000000000000000−i3i3−i3i3
χ332-2-2222-2-2-222-2-12112-2-2-12-2-22-111-1-11-111-100000000000000000000i3−i3i3−i3
χ342-2-222-22-2-22-2222-2-22-2-22-222-22-2-22-22-222-2000000000000000000000000
χ352-2-222-22-2-22-222-1-2-2-11121-1-11-111-1-221-1-1100003−3−333−3−33000000000000
χ362-2-222-22-2-22-222-1-2-2-11121-1-11-111-1-221-1-110000−333−3−333−3000000000000
χ372-2-222-22-2-22-22-12112-2-2-1-222-2-111-11-11-1-1100000000000000000000−i3i3i3−i3
χ382-2-222-22-2-22-22-12112-2-2-1-222-2-111-11-11-1-1100000000000000000000i3−i3−i3i3
χ39444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000000000
χ4044444-4-4444-4-4-2-2-2-2-2-2-2-22222111122-1-1-1-1000000000000000000000000
χ4144-4-44004-4-400-24-22-44-420000-2-222000000000000000000000000000000
χ4244-4-44004-4-400-2-2-222-2222323−23−2311-1-100−3−333000000000000000000000000
χ4344-4-44004-4-400-2-2-222-222−23−23232311-1-10033−3−3000000000000000000000000
χ444-44-4400-44-400-242-2-4-4420000-22-22000000000000000000000000000000
χ454-44-4400-44-400-2-22-222-2223−2323−231-11-100−33−33000000000000000000000000
χ464-44-4400-44-400-2-22-222-22−2323−23231-11-1003−33−3000000000000000000000000
χ474-4-4444-4-4-444-4-2-222-222-2-222-21-1-11-221-1-11000000000000000000000000
χ484-4-444-44-4-44-44-2-222-222-22-2-221-1-112-2-111-1000000000000000000000000
χ496666-366-3-3-3-3-300000000000000000000000000000000002200-1-1-1-10000
χ506666-366-3-3-3-3-30000000000000000000000000000000000-2-20011110000
χ516666-3-6-6-3-3-33300000000000000000000000000000000002-200-1-1110000
χ526666-3-6-6-3-3-3330000000000000000000000000000000000-220011-1-10000
χ536-6-66-36-633-3-3300000000000000000000000000000000000000−i3i3−i3i30000
χ546-6-66-36-633-3-3300000000000000000000000000000000000000i3−i3i3−i30000
χ556-6-66-3-6633-33-300000000000000000000000000000000000000−i3i3i3−i30000
χ566-6-66-3-6633-33-300000000000000000000000000000000000000i3−i3−i3i30000
χ571212-12-12-600-666000000000000000000000000000000000000000000000000
χ5812-1212-12-6006-66000000000000000000000000000000000000000000000000

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