Finite Group Databasebeta

← Group #72238836

Character table — Group #72238836

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1133333333331212121212121212121212121212121212121212121212122424242424242424256256256256
order122222222222444444444444444444444444444444443366
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32
χ311111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32
χ433333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ5333333333333-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ6333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-10000
χ7333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-10000
χ8333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133330000
χ93333-1-1-1-1-1-1-1-11111−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i3-1-1-111−1+2i−1−2i0000
χ103333-1-1-1-1-1-1-1-11111−1+2i−1+2i−1−2i−1−2i1111−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i1111-13-1-1−1+2i−1−2i110000
χ113333-1-1-1-1-1-1-1-11111−1+2i−1+2i−1−2i−1−2i−1+2i−1+2i−1−2i−1−2i11111111−1−2i−1−2i−1+2i−1+2i-1-13-1−1−2i−1+2i110000
χ123333-1-1-1-1-1-1-1-11111−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i1111-1-1-1311−1−2i−1+2i0000
χ133333-1-1-1-1-1-1-1-11111−1−2i−1−2i−1+2i−1+2i1111−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i1111-13-1-1−1−2i−1+2i110000
χ143333-1-1-1-1-1-1-1-11111−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i3-1-1-111−1−2i−1+2i0000
χ153333-1-1-1-1-1-1-1-11111−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i1111-1-1-1311−1+2i−1−2i0000
χ163333-1-1-1-1-1-1-1-11111−1−2i−1−2i−1+2i−1+2i−1−2i−1−2i−1+2i−1+2i11111111−1+2i−1+2i−1−2i−1−2i-1-13-1−1+2i−1−2i110000
χ173333-1-1-1-1-1-1-1-1−1+2i−1+2i−1−2i−1−2i11111111−1+2i−1+2i−1−2i−1−2i1111−1−2i−1−2i−1+2i−1+2i-1-1-13−1+2i−1−2i110000
χ183333-1-1-1-1-1-1-1-1−1+2i−1+2i−1−2i−1−2i11111111−1−2i−1−2i−1+2i−1+2i−1−2i−1−2i−1+2i−1+2i1111-1-13-111−1+2i−1−2i0000
χ193333-1-1-1-1-1-1-1-1−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i11111111−1+2i−1+2i−1−2i−1−2i-13-1-111−1−2i−1+2i0000
χ203333-1-1-1-1-1-1-1-1−1+2i−1+2i−1−2i−1−2i1111−1−2i−1−2i−1+2i−1+2i1111−1+2i−1+2i−1−2i−1−2i11113-1-1-1−1−2i−1+2i110000
χ213333-1-1-1-1-1-1-1-1−1−2i−1−2i−1+2i−1+2i11111111−1+2i−1+2i−1−2i−1−2i−1+2i−1+2i−1−2i−1−2i1111-1-13-111−1−2i−1+2i0000
χ223333-1-1-1-1-1-1-1-1−1−2i−1−2i−1+2i−1+2i11111111−1−2i−1−2i−1+2i−1+2i1111−1+2i−1+2i−1−2i−1−2i-1-1-13−1−2i−1+2i110000
χ233333-1-1-1-1-1-1-1-1−1−2i−1−2i−1+2i−1+2i1111−1+2i−1+2i−1−2i−1−2i1111−1−2i−1−2i−1+2i−1+2i11113-1-1-1−1+2i−1−2i110000
χ243333-1-1-1-1-1-1-1-1−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i11111111−1−2i−1−2i−1+2i−1+2i-13-1-111−1+2i−1−2i0000
χ254-44-44-4-4-4444-40000000000000000000000000000000011-1-1
χ264-44-44-4-4-4444-400000000000000000000000000000000−1−i32−1+i321+i321−i32
χ274-44-44-4-4-4444-400000000000000000000000000000000−1+i32−1−i321−i321+i32
χ286-6-226222-2-2-2-62-22-22-22-22-22-22-22-22-22-22-22-2000000000000
χ296-6-226222-2-2-2-62-22-22-22-2-22-22-22-22-22-22-22-22000000000000
χ306-6-226222-2-2-2-6-22-22-22-222-22-22-22-2-22-22-22-22000000000000
χ316-6-226222-2-2-2-6-22-22-22-22-22-22-22-222-22-22-22-2000000000000
χ326-6-22-222-66-2-222-22-2-22-222i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000
χ336-6-22-222-66-2-222-22-2-22-22−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000
χ346-6-22-222-66-2-22-22-222-22-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000
χ356-6-22-222-66-2-22-22-222-22-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000
χ366-6-22-22-62-26-222i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2-22-2-22-22000000000000
χ376-6-22-22-62-26-222i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i-22-222-22-2000000000000
χ386-6-22-22-62-26-22−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i-22-222-22-2000000000000
χ396-6-22-22-62-26-22−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i2-22-2-22-22000000000000
χ406-6-22-2-622-2-2622i−2i−2i2i−2i2i2i−2i2-22-2-22-22−2i2i2i−2i−2i2i2i−2i000000000000
χ416-6-22-2-622-2-2622i−2i−2i2i−2i2i2i−2i-22-222-22-22i−2i−2i2i2i−2i−2i2i000000000000
χ426-6-22-2-622-2-262−2i2i2i−2i2i−2i−2i2i2-22-2-22-222i−2i−2i2i2i−2i−2i2i000000000000
χ436-6-22-2-622-2-262−2i2i2i−2i2i−2i−2i2i-22-222-22-2−2i2i2i−2i−2i2i2i−2i000000000000
χ441212-4-412-4-4-4-4-4-412000000000000000000000000000000000000
χ451212-4-4-412-4-4-4-412-4000000000000000000000000000000000000
χ461212-4-4-4-412-4-412-4-4000000000000000000000000000000000000
χ471212-4-4-4-4-41212-4-4-4000000000000000000000000000000000000
χ4812-1212-12-4444-4-4-44000000000000000000000000000000000000

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