Finite Group Databasebeta

← Group #13165725

Character table — Group #13165725

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122224444444488888888121818242424242424242424242424242424242424242424243636363636363636727272727272108108108
order122236663366666633666666444441212121212121212121212121212121212121212881212242424244412121212488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1111-1-11-1-1
χ3111111111111111111111111111-11-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-11-1-1-1111-1-1
χ4111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111
χ5111111111111111111111111-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1111-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-111-111
χ7111111111111111111111111-111-11-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-111
χ8111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1
χ92222222222222222222222222-2-2000000222200000000000000-2-20000000000-200
χ10222222222222222222222222-2-2-2000000-2-2-2-200000000000000-2-20000000000200
χ112222-1-1-1-122222222-1-1-1-1-1-1-1-102222-1-1-1-100002222-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000
χ122222-1-1-1-122222222-1-1-1-1-1-1-1-10222-2-1-111000022-2-2-1-1-1-11111-2-2-1-11111000000000
χ132222-1-1-1-122222222-1-1-1-1-1-1-1-1022-2211-1-10000-2-2221111-1-1-1-1-2-2-1-11111000000000
χ142222-1-1-1-122222222-1-1-1-1-1-1-1-1022-2-211110000-2-2-2-21111111122-1-1-1-1-1-1000000000
χ152-22-22-2-22222-2-2-2-22222-2-2-22-202-2000000000000000000000000-22000000000002i−2i
χ162-22-22-2-22222-2-2-2-22222-2-2-22-202-2000000000000000000000000-2200000000000−2i2i
χ172-22-22-2-22222-2-2-2-22222-2-2-22-20-2200000000000000000000002i−2i2-22i2i−2i−2i000000000
χ182-22-22-2-22222-2-2-2-22222-2-2-22-20-220000000000000000000000−2i2i2-2−2i−2i2i2i000000000
χ192-22-2-111-1222-2-2-2-22-1-1-1111-110-22003−3−i3i30000000033−3−3−i3−i3i3i32i−2i-11−i−iii000000000
χ202-22-2-111-1222-2-2-2-22-1-1-1111-110-22003−3i3−i30000000033−3−3i3i3−i3−i3−2i2i-11ii−i−i000000000
χ212-22-2-111-1222-2-2-2-22-1-1-1111-110-2200−33−i3i300000000−3−333−i3−i3i3i3−2i2i-11ii−i−i000000000
χ222-22-2-111-1222-2-2-2-22-1-1-1111-110-2200−33i3−i300000000−3−333i3i3−i3−i32i−2i-11−i−iii000000000
χ23444444441-21-2-211-21-211-2-2-21400202200-2-211-1-100-1-1-1-100000000000002-1-100000
χ24444444441-21-2-211-21-211-2-2-21400-20-2-200-2-211110011110000000000000-21100000
χ25444444441-21-2-211-21-211-2-2-21-40020220022-1-1-1-100-1-1-1-10000000000000-21100000
χ26444444441-21-2-211-21-211-2-2-21-400-20-2-20022-1-11100111100000000000002-1-100000
χ2744444444-21-211-2-21-21-2-2111-240002002211-2-200-1-10000-1-1-1-1000000002000-1-1000
χ2844444444-21-211-2-21-21-2-2111-24000-200-2-211-2-200110000111100000000-200011000
χ2944444444-21-211-2-21-21-2-2111-2-400020022-1-12200-1-10000-1-1-1-100000000-200011000
χ3044444444-21-211-2-21-21-2-2111-2-4000-200-2-2-1-122001100001111000000002000-1-1000
χ314444-2-2-2-244444444-2-2-2-2-2-2-2-20-4-4000000000000000000000000220000000000000
χ3244-4-44-44-444-4-444-4-444-4-44-4-44000000000000000000000000000000000000000000
χ3344-4-44-44-4-212-11-22-1-21221-1-1-20000000003-300003−300003−33−30000000000003−3000
χ3444-4-44-44-4-212-11-22-1-21221-1-1-20000000003-30000−330000−33−33000000000000−33000
χ3544-4-44-44-4-212-11-22-1-21221-1-1-2000000000-3300003−300003−33−3000000000000−33000
χ3644-4-44-44-4-212-11-22-1-21221-1-1-2000000000-330000−330000−33−330000000000003−3000
χ3744-4-4-22-2244-4-444-4-4-2-222-222-2000000000000000000000000000006−66−6000000000
χ3844-4-4-22-2244-4-444-4-4-2-222-222-200000000000000000000000000000−66−66000000000
χ394-44-4-222-2444-4-4-4-44-2-2-2222-2204-40000000000000000000000002-20000000000000
χ404-4-4444-4-41-2-1-22-1121-2-112-22-1000000000003i−3i3−3003−33−300000000000000−i3i300000
χ414-4-4444-4-41-2-1-22-1121-2-112-22-1000000000003i−3i−3300−33−3300000000000000i3−i300000
χ424-4-4444-4-41-2-1-22-1121-2-112-22-100000000000−3i3i3−3003−33−300000000000000i3−i300000
χ434-4-4444-4-41-2-1-22-1121-2-112-22-100000000000−3i3i−3300−33−3300000000000000−i3i300000
χ444-4-4444-4-444-44-4-44-444-44-44-4-4000000000000000000000000000000000000000000
χ454-4-44-2-22244-44-4-44-4-2-22-22-22200000000000000000000000000000i6−i6−i6i6000000000
χ464-4-44-2-22244-44-4-44-4-2-22-22-22200000000000000000000000000000−i6i6i6−i6000000000
χ478888-4-4-4-42-42-4-422-4-12-1-1222-100040-2-2000000-2-2001111000000000000000000000
χ488888-4-4-4-42-42-4-422-4-12-1-1222-1000-40220000002200-1-1-1-1000000000000000000000
χ498888-4-4-4-4-42-422-4-422-122-1-1-120000400-2-2000000-2-20000111100000000000000000
χ508888-4-4-4-4-42-422-4-422-122-1-1-120000-40022000000220000-1-1-1-100000000000000000
χ5188-8-88-88-82-4-24-42-242-4-2-2-4442000000000000000000000000000000000000000000
χ5288-8-8-44-442-4-24-42-24-12112-2-2-1000000000000000003-3-33000000000000000000000
χ5388-8-8-44-442-4-24-42-24-12112-2-2-100000000000000000-333-3000000000000000000000
χ5488-8-8-44-44-424-22-44-22-1-2-2-111200000000000000023−230000−33−3300000000000000000
χ5588-8-8-44-44-424-22-44-22-1-2-2-1112000000000000000−232300003−33−300000000000000000
χ568-88-88-8-882-4244-2-2-42-42-244-4-2000000000000000000000000000000000000000000
χ578-88-88-8-88-42-4-2-2442-42-44-2-224000000000000000000000000000000000000000000
χ588-88-8-444-42-4244-2-2-4-12-11-2-2210000023−230000000000−3−333000000000000000000000
χ598-88-8-444-42-4244-2-2-4-12-11-2-22100000−2323000000000033−3−3000000000000000000000
χ608-88-8-444-4-42-4-2-24422-12-211-1-20000000−2i32i3000000000000i3i3−i3−i300000000000000000
χ618-88-8-444-4-42-4-2-24422-12-211-1-200000002i3−2i3000000000000−i3−i3i3i300000000000000000
χ628-8-8888-8-8-4242-24-4-2-424-4-22-24000000000000000000000000000000000000000000
χ638-8-88-4-4442-4-2-44-224-121-1-22-21000000000000023−2300−33−33000000000000000000000
χ648-8-88-4-4442-4-2-44-224-121-1-22-210000000000000−2323003−33−3000000000000000000000
χ658-8-88-4-444-4242-24-4-22-1-221-11-20000000000000000000003i−3i−3i3i00000000000000000
χ668-8-88-4-444-4242-24-4-22-1-221-11-2000000000000000000000−3i3i3i−3i00000000000000000

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