Finite Group Databasebeta

← Group #85646

Character table — Group #85646

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size133333466666666121212121264646464
order122222244444444244443366
χ1111111111111111111111111
χ211111111111111111111−1−i32−1+i32−1−i32−1+i32
χ311111111111111111111−1+i32−1−i32−1+i32−1−i32
χ4111111-111111111-1-1-1-1-111-1-1
χ5111111-111111111-1-1-1-1-1−1−i32−1+i321+i321−i32
χ6111111-111111111-1-1-1-1-1−1+i32−1−i321−i321+i32
χ73333333-1-1-1-1-1-1-1-13-1-1-1-10000
χ8333333-3-1-1-1-1-1-1-1-1-311110000
χ93-1-1-1-13333-1-1-1-1-1-1-13-1-1-10000
χ103-1-1-1-133-1-133-1-1-1-1-1-13-1-10000
χ113-1-1-1-133-1-1-1-133-1-1-1-1-13-10000
χ123-1-1-1-133-1-1-1-1-1-133-1-1-1-130000
χ133-1-1-1-13-333-1-1-1-1-1-11-31110000
χ143-1-1-1-13-3-1-133-1-1-1-111-3110000
χ153-1-1-1-13-3-1-1-1-133-1-1111-310000
χ163-1-1-1-13-3-1-1-1-1-1-1331111-30000
χ1766-2-2-2-202i−2i2i−2i2i−2i2i−2i000000000
χ1866-2-2-2-20−2i2i−2i2i−2i2i−2i2i000000000
χ196-26-2-2-202i−2i2i−2i−2i2i−2i2i000000000
χ206-26-2-2-20−2i2i−2i2i2i−2i2i−2i000000000
χ216-2-26-2-202i−2i−2i2i2i−2i−2i2i000000000
χ226-2-26-2-20−2i2i2i−2i−2i2i2i−2i000000000
χ236-2-2-26-202i−2i−2i2i−2i2i2i−2i000000000
χ246-2-2-26-20−2i2i2i−2i2i−2i−2i2i000000000

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