Finite Group Databasebeta

← Group #13181827

Character table — Group #13181827

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1333446912121212121212121212272727325464646464108108108108108108108108288
order122233226666666666222323333444444446
χ1111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-11
χ31111111-11111111111-1-1-11-11111i−iiii−i−i−i-1
χ41111111-11111111111-1-1-11-11111−ii−i−i−iiii-1
χ5222222222222222222222-12-1-1-1-100000000-1
χ62222222-22222222222-2-2-2-1-2-1-1-1-1000000001
χ733-1-133-1333-1-1-1-1-1-1-1-13-1-10-10000111-1-11-1-10
χ833-1-133-1333-1-1-1-1-1-1-1-13-1-10-10000-1-1-111-1110
χ933-1-133-1-333-1-1-1-1-1-1-1-1-311010000i−ii−i−i−iii0
χ1033-1-133-1-333-1-1-1-1-1-1-1-1-311010000−ii−iiii−i−i0
χ113-13-133-13-1-133-1-1-1-1-1-1-13-10-1000011-11-1-11-10
χ123-13-133-13-1-133-1-1-1-1-1-1-13-10-10000-1-11-111-110
χ133-13-133-1-3-1-133-1-1-1-1-1-11-31010000i−i−ii−ii−ii0
χ143-13-133-1-3-1-133-1-1-1-1-1-11-31010000−iii−ii−ii−i0
χ153-1-1333-13-1-1-1-133-1-1-1-1-1-130-1000011-1-11-1-110
χ163-1-1333-13-1-1-1-133-1-1-1-1-1-130-10000-1-111-111-10
χ173-1-1333-1-3-1-1-1-133-1-1-1-111-3010000i−i−i−iiii−i0
χ183-1-1333-1-3-1-1-1-133-1-1-1-111-3010000−iiii−i−i−ii0
χ1944441-2401-21-21-211-2-20004011-2-2000000000
χ2044441-2401-21-21-211-2-2000-20−1−3i32−1+3i3211000000000
χ2144441-2401-21-21-211-2-2000-20−1+3i32−1−3i3211000000000
χ224444-2140-21-21-21-2-21100040-2-211000000000
χ234444-2140-21-21-21-2-211000-2011−1−3i32−1+3i32000000000
χ244444-2140-21-21-21-2-211000-2011−1+3i32−1−3i32000000000
χ256-2-2-26626-2-2-2-2-2-22222-2-2-2020000000000000
χ266-2-2-2662-6-2-2-2-2-2-222222220-20000000000000
χ271212-4-43-6-403-6-12-12-1-122000000000000000000
χ281212-4-4-63-40-632-12-122-1-1000000000000000000
χ2912-412-43-6-40-123-6-12-1-122000000000000000000
χ3012-412-4-63-402-1-632-122-1-1000000000000000000
χ3112-4-4123-6-40-12-123-6-1-122000000000000000000
χ3212-4-412-63-402-12-1-6322-1-1000000000000000000
χ3312-4-4-43-640-12-12-127-5-2-2000000000000000000
χ3412-4-4-43-640-12-12-12-57-2-2000000000000000000
χ3512-4-4-4-63402-12-12-1-2-27-5000000000000000000
χ3612-4-4-4-63402-12-12-1-2-2-57000000000000000000

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