Finite Group Databasebeta

← Group #72287287

Character table — Group #72287287

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111166666666662424242424242424242424242424242424242424242424244848484848484848256256256256256256256256
order1244222224444422222222444444444444444488888888336612121212
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ31111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ4333333333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ533333333333333-1-1-1-13333-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ633333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-100000000
χ733333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-100000000
χ833333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1333300000000
χ93333-1-1-1-13-1-1-1-133-1-1-13-1-1-13-1-1-13-1-1-133-1-1-1-1-1-13-1-1-13-1-1-100000000
χ103333-1-1-1-13-1-1-1-133-1-1-1-13-1-13-1-1-1-13-1-1-1-133-1-1-1-1-13-1-1-13-1-100000000
χ113333-1-1-1-13-1-1-1-133-1-1-1-1-13-13-1-1-1-1-13-1-1-1-1-133-1-1-1-13-1-1-13-100000000
χ123333-1-1-1-13-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-13-1-1-1-1-1-133-1-1-13-1-1-1300000000
χ133333-1-1-1-13-1-1-1-13-13-1-13-1-1-1-13-1-13-1-1-1-1-133-1-1-1-1-1-13-1-1-1-1300000000
χ143333-1-1-1-13-1-1-1-13-13-1-1-13-1-1-13-1-1-13-1-133-1-1-1-1-1-1-1-1-13-1-13-100000000
χ153333-1-1-1-13-1-1-1-13-13-1-1-1-13-1-13-1-1-1-13-1-1-1-1-1-1-1333-1-1-1-13-1-100000000
χ163333-1-1-1-13-1-1-1-13-13-1-1-1-1-13-13-1-1-1-1-13-1-1-1-133-1-1-13-1-13-1-1-100000000
χ173333-1-1-1-13-1-1-1-13-1-13-13-1-1-1-1-13-13-1-1-1-1-1-1-133-1-1-1-1-13-13-1-100000000
χ183333-1-1-1-13-1-1-1-13-1-13-1-13-1-1-1-13-1-13-1-1-1-1-1-1-1-133-1-13-13-1-1-100000000
χ193333-1-1-1-13-1-1-1-13-1-13-1-1-13-1-1-13-1-1-13-133-1-1-1-1-1-1-13-1-1-1-1-1300000000
χ203333-1-1-1-13-1-1-1-13-1-13-1-1-1-13-1-13-1-1-1-13-1-133-1-1-1-13-1-1-1-1-13-100000000
χ213333-1-1-1-13-1-1-1-13-1-1-133-1-1-1-1-1-133-1-1-1-1-1-1-1-1-133-13-1-1-1-13-100000000
χ223333-1-1-1-13-1-1-1-13-1-1-13-13-1-1-1-1-13-13-1-1-1-1-1-133-1-13-1-1-1-1-1-1300000000
χ233333-1-1-1-13-1-1-1-13-1-1-13-1-13-1-1-1-13-1-13-1-1-133-1-1-1-1-1-1-133-1-1-100000000
χ243333-1-1-1-13-1-1-1-13-1-1-13-1-1-13-1-1-13-1-1-1333-1-1-1-1-1-1-1-13-1-13-1-100000000
χ2544-4-4-4-4-4-444444-4000000000000000000000000000000001111-1-1-1-1
χ2644-4-4-4-4-4-444444-400000000000000000000000000000000−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ2744-4-4-4-4-4-444444-400000000000000000000000000000000−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ2866-6-6222-6-26-2-2-22222-2222-2-2-2-22-2-2-222-22-22-22-20000000000000000
χ2966-6-6222-6-26-2-2-22222-2-2-2-22-2-2-22222-2-22-22-22-220000000000000000
χ3066-6-6222-6-26-2-2-22-2-2-22222-2222-2-2-2-22-22-22-22-220000000000000000
χ3166-6-6222-6-26-2-2-22-2-2-22-2-2-22222-2222-22-22-22-22-20000000000000000
χ3266-6-622-62-2-26-2-2222-2222-22-2-22-2-2-22-22-22-2-22-220000000000000000
χ3366-6-622-62-2-26-2-2222-22-2-22-2-2-22-222-22-22-222-22-20000000000000000
χ3466-6-622-62-2-26-2-22-2-22-222-2222-22-2-22-2-22-222-22-20000000000000000
χ3566-6-622-62-2-26-2-22-2-22-2-2-22-222-2222-222-22-2-22-220000000000000000
χ3666-6-62-622-2-2-26-222-2222-222-22-2-2-22-2-22-2-222-2-220000000000000000
χ3766-6-62-622-2-2-26-222-222-22-2-2-22-2-22-222-222-2-222-20000000000000000
χ3866-6-62-622-2-2-26-22-22-2-22-2222-222-22-2-2-222-2-222-20000000000000000
χ3966-6-62-622-2-2-26-22-22-2-2-22-2-22-2222-2222-2-222-2-220000000000000000
χ4066-6-6-6222-2-2-2-2622-2-2-22-2-2-2-2222-22222-2-22-222-20000000000000000
χ4166-6-6-6222-2-2-2-2622-2-2-2-2222-22222-2-2-2-222-22-2-220000000000000000
χ4266-6-6-6222-2-2-2-262-22222-2-2-22-2-2-2-2222-222-22-2-220000000000000000
χ4366-6-6-6222-2-2-2-262-2222-22222-2-2-22-2-2-22-2-22-222-20000000000000000
χ441212121212-4-4-4-4-4-4-412-40000000000000000000000000000000000000000
χ4512121212-412-4-4-4-4-412-4-40000000000000000000000000000000000000000
χ4612121212-4-412-4-4-412-4-4-40000000000000000000000000000000000000000
χ4712121212-4-4-412-412-4-4-4-40000000000000000000000000000000000000000
χ481212-12-12444412-4-4-4-4-120000000000000000000000000000000000000000
χ4916-1616i−16i00000000000000000000000000000000000000000011-1-1i−ii−i
χ5016-1616i−16i000000000000000000000000000000000000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7
χ5116-1616i−16i000000000000000000000000000000000000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11
χ5216-16−16i16i00000000000000000000000000000000000000000011-1-1−ii−ii
χ5316-16−16i16i000000000000000000000000000000000000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7
χ5416-16−16i16i000000000000000000000000000000000000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.