Finite Group Databasebeta

← Group #438

Character table — Group #438

Order 64.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size1122244112224411222441122244
order1248824444884422488244448844
χ11111111111111111111111111111
χ211111-1-111111-1-111111-1-111111-1-1
χ3111-1-11-1111-1-11-1111-1-11-1111-1-11-1
χ4111-1-1-11111-1-1-11111-1-1-11111-1-1-11
χ522-2000022-2000022-2000022-20000
χ62-20i2−i2002-20i2−i2002-20i2−i2002-20i2−i200
χ72-20−i2i2002-20−i2i2002-20−i2i2002-20−i2i200
χ81111111iiiiiii-1-1-1-1-1-1-1−i−i−i−i−i−i−i
χ911111-1-1iiiii−i−i-1-1-1-1-111−i−i−i−i−iii
χ10111-1-11-1iii−i−ii−i-1-1-111-11−i−i−iii−ii
χ11111-1-1-11iii−i−i−ii-1-1-1111-1−i−i−iiii−i
χ1222-200002i2i−2i0000-2-220000−2i−2i2i0000
χ132-20i2−i2002i−2i0−2200-220−i2i200−2i2i02−200
χ142-20−i2i2002i−2i02−200-220i2−i200−2i2i0−2200
χ151111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ1611111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111
χ17111-1-11-1-1-1-111-11111-1-11-1-1-1-111-11
χ18111-1-1-11-1-1-1111-1111-1-1-11-1-1-1111-1
χ1922-20000-2-22000022-20000-2-220000
χ202-20i2−i200-220−i2i2002-20i2−i200-220−i2i200
χ212-20−i2i200-220i2−i2002-20−i2i200-220i2−i200
χ221111111−i−i−i−i−i−i−i-1-1-1-1-1-1-1iiiiiii
χ2311111-1-1−i−i−i−i−iii-1-1-1-1-111iiiii−i−i
χ24111-1-11-1−i−i−iii−ii-1-1-111-11iii−i−ii−i
χ25111-1-1-11−i−i−iiii−i-1-1-1111-1iii−i−i−ii
χ2622-20000−2i−2i2i0000-2-2200002i2i−2i0000
χ272-20i2−i200−2i2i02−200-220−i2i2002i−2i0−2200
χ282-20−i2i200−2i2i0−2200-220i2−i2002i−2i02−200

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