Finite Group Databasebeta

← Group #18754

Character table — Group #18754

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222444444442222244444422444444888888882488
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-1111-1-11-1-11-11-1-1-111111111-1-1-1-1
χ4111111111111111-1-1111-1-11-1-11-11-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1111-1-1111-1-1-11-11-1-11111-1-1-1-111-1-1
χ61111111111111-1-1111-1-1111-1-1-11-11-1-1-1-1-1-11111-1-111
χ71111111111111-1-1-1-11-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111
χ81111111111111-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1
χ911111-1-1-1-1111-11111-1-1-1-1-1111-111-1-1-111-1-111-1-11-11-1
χ1011111-1-1-1-1111-11111-1-1-1-1-1111-111-1-1-1-1-111-1-111-11-11
χ1111111-1-1-1-1111-111-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-11-11
χ1211111-1-1-1-1111-111-1-1-1-1-1111-1-1-1-11111-1-111-1-1111-11-1
χ1311111-1-1-1-1111-1-1-111-111-1-11-1-111-1-11111-1-1-1-1111-1-11
χ1411111-1-1-1-1111-1-1-111-111-1-11-1-111-1-111-1-11111-1-1-111-1
χ1511111-1-1-1-1111-1-1-1-1-1-111111111-1-11-1-111-1-1-1-111-111-1
χ1611111-1-1-1-1111-1-1-1-1-1-111111111-1-11-1-1-1-11111-1-11-1-11
χ172222222-2-2-2-2220022-200-2-2-2000-20200000000000000
χ182222222-2-2-2-22200-2-2-20022-200020-200000000000000
χ1922222-2-222-2-22-2002220022-2000-20-200000000000000
χ2022222-2-222-2-22-200-2-2200-2-2-200020200000000000000
χ212222-2222222-2-22200-22200-200-20-2000000000000000
χ222222-2222222-2-2-2-200-2-2-200-200202000000000000000
χ232222-222-2-2-2-2-2-200002000022-200002-2000000000000
χ242222-222-2-2-2-2-2-20000200002-220000-22000000000000
χ252222-2-2-222-2-2-220000-2000022-20000-22000000000000
χ262222-2-2-222-2-2-220000-200002-2200002-2000000000000
χ272222-2-2-2-2-222-2222002-2-200-20020-2000000000000000
χ282222-2-2-2-2-222-22-2-20022200-200-202000000000000000
χ2922-2-202i−2i2i−2i2-2002-20002i−2i000000000002−2i2−i22−2i2−i20000
χ3022-2-202i−2i2i−2i2-2002-20002i−2i00000000000−22−i2i2−22−i2i20000
χ3122-2-202i−2i2i−2i2-200-22000−2i2i000000000002−2i2−i2−22−i2i20000
χ3222-2-202i−2i2i−2i2-200-22000−2i2i00000000000−22−i2i22−2i2−i20000
χ3322-2-20−2i2i−2i2i2-2002-2000−2i2i000000000002−2−i2i22−2−i2i20000
χ3422-2-20−2i2i−2i2i2-2002-2000−2i2i00000000000−22i2−i2−22i2−i20000
χ3522-2-20−2i2i−2i2i2-200-220002i−2i000000000002−2−i2i2−22i2−i20000
χ3622-2-20−2i2i−2i2i2-200-220002i−2i00000000000−22i2−i22−2−i2i20000
χ3744-4-404i−4i−4i4i-4400000000000000000000000000000000
χ3844-4-40−4i4i4i−4i-4400000000000000000000000000000000
χ394-44-44000000-4000000004i−4i000000000000000000000
χ404-44-44000000-400000000−4i4i000000000000000000000
χ414-44-4-400000040004-400000000000000000000000000
χ424-44-4-40000004000-4400000000000000000000000000
χ438-8-88000000000000000000000000000000000000000

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