Finite Group Databasebeta

← Group #85564

Character table — Group #85564

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size111166666612121212121224242424242432323232
order12222222224444444444443666
χ111111111111111111111111111
χ2111111111111-1-1-1-1-1-1-1-1-1-11111
χ31-11-1111-1-1-11-1ii−i−iiii−i−i−i11-1-1
χ41-11-1111-1-1-11-1−i−iii−i−i−iiii11-1-1
χ52222222222220000000000-1-1-1-1
χ62-22-2222-2-2-22-20000000000-1-111
χ733333-1-13-1-1-1-111111-1-11-1-10000
χ833333-1-13-1-1-1-1-1-1-1-1-111-1110000
χ93333-13-1-13-1-1-11111-11-1-11-10000
χ103333-13-1-13-1-1-1-1-1-1-11-111-110000
χ113333-1-13-1-13-1-11111-1-11-1-110000
χ123333-1-13-1-13-1-1-1-1-1-111-111-10000
χ133-33-33-1-1-311-11ii−i−ii−i−i−iii0000
χ143-33-33-1-1-311-11−i−iii−iiii−i−i0000
χ153-33-3-13-11-31-11ii−i−i−ii−ii−ii0000
χ163-33-3-13-11-31-11−i−iiii−ii−ii−i0000
χ173-33-3-1-1311-3-11ii−i−i−i−iiii−i0000
χ183-33-3-1-1311-3-11−i−iiiii−i−i−ii0000
χ1944-4-4000000002i−2i2i−2i0000001-11-1
χ2044-4-400000000−2i2i−2i2i0000001-11-1
χ214-4-44000000002-2-220000001-1-11
χ224-4-4400000000-222-20000001-1-11
χ236666-2-2-2-2-2-22200000000000000
χ246-66-6-2-2-22222-200000000000000
χ2588-8-8000000000000000000-11-11
χ268-8-88000000000000000000-111-1

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