Finite Group Databasebeta

← Group #13048678

Character table — Group #13048678

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222244444466666666661212121212121212121212121212121212121218182727363636363636363654545454545454108108
order1233466361212121233336666121233336666121212121212121212121222226666666622466121266
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ51111-11111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1111-1111-1-1-11-1-111-1-11-1
χ61111-11111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1111-1-1-1-111-1-111-11
χ71111-11111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111-11-111-1-1-11
χ81111-11111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-11111-11-1-1111-1
χ92222222222222222-1222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1002200000000002-1-1-1-100
χ102222222222222222-1222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100-2-20000000000-2111100
χ112222222222222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1220022-1-1-1-1-1-1000000000
χ122222222222222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2111111000000000
χ132222-22222-2-2-2-2222-1222-111-1-1-1-1-1-1-1-1-2-2-21111111100220000000000-2-1-11100
χ142222-22222-2-2-2-2222-1222-111-1-1-1-1-1-1-1-1-2-2-21111111100-2-20000000000211-1-100
χ152222-22222-2-2-2-2-1-1-12-1-1-12-2-22-1-1-12-1-1-1111-2-21111112-2002-2-1-1-1111000000000
χ162222-22222-2-2-2-2-1-1-12-1-1-12-2-22-1-1-12-1-1-1111-2-2111111-2200-22111-1-1-1000000000
χ1722-122-12-1-12-1-1-12-1-122-1-1222-12-1-1-12-1-12-1-1-1-122-1-1-1-12200-1-12-1-12-1-1000000000
χ1822-122-12-1-12-1-1-12-1-122-1-1222-12-1-1-12-1-12-1-1-1-122-1-1-1-1-2-20011-211-211000000000
χ1922-122-12-1-12-1-1-1-12-12-12-1222-1-12-1-1-12-1-12-1-1-1-1-122-1-12200-1-1-12-1-12-1000000000
χ2022-122-12-1-12-1-1-1-12-12-12-1222-1-12-1-1-12-1-12-1-1-1-1-122-1-1-2-200111-211-21000000000
χ2122-122-12-1-12-1-1-1-1-122-1-12222-1-1-12-1-1-12-1-12-1-1-1-1-1-1222200-1-1-1-12-1-12000000000
χ2222-122-12-1-12-1-1-1-1-122-1-12222-1-1-12-1-1-12-1-12-1-1-1-1-1-122-2-2001111-211-2000000000
χ2322-12-2-12-1-1-21112-1-122-1-12-2-2-12-1-1-12-1-1-21111-2-211112-200-112-1-1-211000000000
χ2422-12-2-12-1-1-21112-1-122-1-12-2-2-12-1-1-12-1-1-21111-2-21111-22001-1-2112-1-1000000000
χ2522-12-2-12-1-1-2111-12-12-12-12-2-2-1-12-1-1-12-11-211111-2-2112-200-11-12-11-21000000000
χ2622-12-2-12-1-1-2111-12-12-12-12-2-2-1-12-1-1-12-11-211111-2-211-22001-11-21-12-1000000000
χ2722-12-2-12-1-1-2111-1-122-1-122-2-2-1-1-12-1-1-1211-2111111-2-22-200-11-1-1211-2000000000
χ2822-12-2-12-1-1-2111-1-122-1-122-2-2-1-1-12-1-1-1211-2111111-2-2-22001-111-2-1-12000000000
χ292-2220-2-22-200002222-2-2-2-2002222-2-2-2-200000000000002-2000000000002-20000
χ302-2220-2-22-200002222-2-2-2-2002222-2-2-2-20000000000000-2200000000000-220000
χ312-2220-2-22-20000222-1-2-2-213−3-1-1-1-111110003−33−33−33−3002-200000000000-113−300
χ322-2220-2-22-20000222-1-2-2-213−3-1-1-1-111110003−33−33−33−300-22000000000001-1−3300
χ332-2220-2-22-20000222-1-2-2-21−33-1-1-1-11111000−33−33−33−33002-200000000000-11−3300
χ342-2220-2-22-20000222-1-2-2-21−33-1-1-1-11111000−33−33−33−3300-22000000000001-13−300
χ354444444444444-2-2-2-2-2-2-2-2-2-2-2111-2111-2-2-2-2-2111111000000000000000000000
χ364444-44444-4-4-4-4-2-2-2-2-2-2-2-222-2111-211122222-1-1-1-1-1-1000000000000000000000
χ3744-244-24-2-24-2-2-24-2-2-24-2-2-2-2-21-2111-2114-2-211-2-21111000000000000000000000
χ3844-244-24-2-24-2-2-2-24-2-2-24-2-2-2-211-2111-21-24-21111-2-211000000000000000000000
χ3944-244-24-2-24-2-2-2-2-24-2-2-24-2-2-2111-2111-2-2-24111111-2-2000000000000000000000
χ4044-24-4-24-2-2-42224-2-2-24-2-2-2221-2111-211-422-1-122-1-1-1-1000000000000000000000
χ4144-24-4-24-2-2-4222-24-2-2-24-2-22211-2111-212-42-1-1-1-122-1-1000000000000000000000
χ4244-24-4-24-2-2-4222-2-24-2-2-24-222111-2111-222-4-1-1-1-1-1-122000000000000000000000
χ434-4440-4-44-40000-2-2-24222-4004-2-2-2-422200000000000000000000000000000000
χ444-4440-4-44-40000-2-2-2-2222223−23-21112-1-1-100023−23−33−33−33000000000000000000000
χ454-4440-4-44-40000-2-2-2-22222−2323-21112-1-1-1000−23233−33−33−3000000000000000000000
χ464-4-2402-4-2200004-2-24-422-400-24-2-22-42200000000000000000000000000000000
χ474-4-2402-4-2200004-2-2-2-422223−231-211-12-1-1000−3323−23−33−33000000000000000000000
χ484-4-2402-4-2200004-2-2-2-4222−23231-211-12-1-10003−3−23233−33−3000000000000000000000
χ494-4-2402-4-220000-24-242-42-400-2-24-222-4200000000000000000000000000000000
χ504-4-2402-4-220000-24-2-22-42223−2311-21-1-12-1000−33−3323−23−33000000000000000000000
χ514-4-2402-4-220000-24-2-22-422−232311-21-1-12-10003−33−3−23233−3000000000000000000000
χ524-4-2402-4-220000-2-24422-4-400-2-2-24222-400000000000000000000000000000000
χ534-4-2402-4-220000-2-24-222-4223−23111-2-1-1-12000−33−33−3323−23000000000000000000000
χ544-4-2402-4-220000-2-24-222-42−2323111-2-1-1-120003−33−33−3−2323000000000000000000000
χ55666-366-3-3-3-36-3-3000000000000000000000000000000000000000002200000-1-1
χ56666-366-3-3-3-36-3-300000000000000000000000000000000000000000-2-20000011
χ57666-3-66-3-3-33-633000000000000000000000000000000000000000002-200000-11
χ58666-3-66-3-3-33-63300000000000000000000000000000000000000000-22000001-1
χ591212-6-612-6-633-6-63300000000000000000000000000000000000000000000000000
χ601212-6-6-12-6-63366-3-300000000000000000000000000000000000000000000000000
χ6112-1212-60-126-66000000000000000000000000000000000000000000000000000000
χ6212-12-6-60663-3009i−9i00000000000000000000000000000000000000000000000000
χ6312-12-6-60663-300−9i9i00000000000000000000000000000000000000000000000000

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