Finite Group Databasebeta

← Group #13165722

Character table — Group #13165722

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122224444444488888888121818242424242424242424242424242424242424242424243636363636363636727272727272108108108
order1222366633666666336666664444412121212121212121212121212121212121212128812122424242424661212488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-11-1-1
χ3111111111111111111111111111-1111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-1111-1-1
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
χ6111111111111111111111111-1111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-111
χ7111111111111111111111111-111-1111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-111-1-1-111
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
χ122222-1-1-1-122222222-1-1-1-1-1-1-1-10222-211-1-1000022-2-2-1-1-1-11111-2-2-1-11111000000000
χ132222-1-1-1-122222222-1-1-1-1-1-1-1-1022-22-1-1110000-2-2221111-1-1-1-1-2-2-1-11111000000000
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
χ152-22-22-2-22222-2-22-2-2222-2-2-22-202-2000000000000000000000000-22000000000002i−2i
χ162-22-22-2-22222-2-22-2-2222-2-2-22-202-2000000000000000000000000-2200000000000−2i2i
χ172-22-22-2-22222-2-22-2-2222-2-2-22-20-2200000000000000000000002i−2i2-22i2i−2i−2i000000000
χ182-22-22-2-22222-2-22-2-2222-2-2-22-20-220000000000000000000000−2i2i2-2−2i−2i2i2i000000000
χ192-22-2-111-1222-2-22-2-2-1-1-1111-110-22003−3−i3i300000000−i3−i3i3i333−3−32i−2i-11−i−iii000000000
χ202-22-2-111-1222-2-22-2-2-1-1-1111-110-22003−3i3−i300000000i3i3−i3−i333−3−3−2i2i-11ii−i−i000000000
χ212-22-2-111-1222-2-22-2-2-1-1-1111-110-2200−33−i3i300000000−i3−i3i3i3−3−333−2i2i-11ii−i−i000000000
χ222-22-2-111-1222-2-22-2-2-1-1-1111-110-2200−33i3−i300000000i3i3−i3−i3−3−3332i−2i-11−i−iii000000000
χ23444444441-21-21-2-211-211-2-2-2140002220011-2-200-1-10000-1-1-1-1000000000200-1-1000
χ24444444441-21-21-2-211-211-2-2-214000-2-2-20011-2-2001100001111000000000-20011000
χ25444444441-21-21-2-211-211-2-2-21-400022200-1-12200-1-10000-1-1-1-1000000000-20011000
χ26444444441-21-21-2-211-211-2-2-21-4000-2-2-200-1-122001100001111000000000200-1-1000
χ2744444444-21-21-211-2-21-2-2111-2400200022-2-211-1-100-1-1-1-100000000000020-1-100000
χ2844444444-21-21-211-2-21-2-2111-2400-2000-2-2-2-21111001111000000000000-201100000
χ2944444444-21-21-211-2-21-2-2111-2-40020002222-1-1-1-100-1-1-1-1000000000000-201100000
χ3044444444-21-21-211-2-21-2-2111-2-400-2000-2-222-1-11100111100000000000020-1-100000
χ314444-2-2-2-244444444-2-2-2-2-2-2-2-20-4-4000000000000000000000000220000000000000
χ3244-4-444-4-41-2-1212-2-11-2-112-22-10000000003-300003−300003−33−30000000000003−3000
χ3344-4-444-4-41-2-1212-2-11-2-112-22-10000000003-30000−330000−33−33000000000000−33000
χ3444-4-444-4-41-2-1212-2-11-2-112-22-1000000000-3300003−300003−33−3000000000000−33000
χ3544-4-444-4-41-2-1212-2-11-2-112-22-1000000000-330000−330000−33−330000000000003−3000
χ3644-4-444-4-444-4-44-44-444-44-44-4-4000000000000000000000000000000000000000000
χ3744-4-4-2-22244-4-44-44-4-2-22-22-22200000000000000000000000000000i6−i6i6−i6000000000
χ3844-4-4-2-22244-4-44-44-4-2-22-22-22200000000000000000000000000000−i6i6−i6i6000000000
χ394-44-4-222-2444-4-44-4-4-2-2-2222-2204-40000000000000000000000002-20000000000000
χ404-4-444-44-444-44-4-4-4444-4-44-4-44000000000000000000000000000000000000000000
χ414-4-444-44-4-21212-1-1-2-21221-1-1-2000000000003i−3i3−3003−33−300000000000000−i3i300000
χ424-4-444-44-4-21212-1-1-2-21221-1-1-2000000000003i−3i−3300−33−3300000000000000i3−i300000
χ434-4-444-44-4-21212-1-1-2-21221-1-1-200000000000−3i3i3−3003−33−300000000000000i3−i300000
χ444-4-444-44-4-21212-1-1-2-21221-1-1-200000000000−3i3i−3300−33−3300000000000000−i3i300000
χ454-4-44-22-2244-44-4-4-44-2-222-222-2000000000000000000000000000006−6−66000000000
χ464-4-44-22-2244-44-4-4-44-2-222-222-200000000000000000000000000000−666−6000000000
χ478888-4-4-4-42-42-42-4-42-12-1-1222-100004-2-200000000-2-20000111100000000000000000
χ488888-4-4-4-42-42-42-4-42-12-1-1222-10000-42200000000220000-1-1-1-100000000000000000
χ498888-4-4-4-4-42-42-422-42-122-1-1-120004000-2-20000-2-2001111000000000000000000000
χ508888-4-4-4-4-42-42-422-42-122-1-1-12000-40002200002200-1-1-1-1000000000000000000000
χ5188-8-888-8-8-424-2-4-224-424-4-22-24000000000000000000000000000000000000000000
χ5288-8-8-4-4442-4-2424-4-2-121-1-22-2100000000000000023−230000−33−3300000000000000000
χ5388-8-8-4-4442-4-2424-4-2-121-1-22-21000000000000000−232300003−33−300000000000000000
χ5488-8-8-4-444-424-2-4-2242-1-221-11-2000000000000000003i−3i−3i3i000000000000000000000
χ5588-8-8-4-444-424-2-4-2242-1-221-11-200000000000000000−3i3i3i−3i000000000000000000000
χ568-88-88-8-882-424-2-44-22-42-244-4-2000000000000000000000000000000000000000000
χ578-88-88-8-88-42-4-242-24-42-44-2-224000000000000000000000000000000000000000000
χ588-88-8-444-42-424-2-44-2-12-11-2-2210000023−2300000000000000−3−33300000000000000000
χ598-88-8-444-42-424-2-44-2-12-11-2-22100000−23230000000000000033−3−300000000000000000
χ608-88-8-444-4-42-4-242-242-12-211-1-20000000−2i32i300000000i3i3−i3−i3000000000000000000000
χ618-88-8-444-4-42-4-242-242-12-211-1-200000002i3−2i300000000−i3−i3i3i3000000000000000000000
χ628-8-888-88-82-4-2-4-24422-4-2-2-4442000000000000000000000000000000000000000000
χ638-8-88-44-442-4-2-4-2442-12112-2-2-10000000000000000000003-3-3300000000000000000
χ648-8-88-44-442-4-2-4-2442-12112-2-2-1000000000000000000000-333-300000000000000000
χ658-8-88-44-44-42424-2-2-42-1-2-2-1112000000000000023−2300−33−33000000000000000000000
χ668-8-88-44-44-42424-2-2-42-1-2-2-11120000000000000−2323003−33−3000000000000000000000

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