Finite Group Databasebeta

← Group #19577

Character table — Group #19577

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111222222444444444444888888888888161616161616
order1222444444244488888888244488888888244488
χ11111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ4111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1
χ511111111111111-1-1-1-11111-1-1-1-1-111-111111-11-1-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1111
χ711111111111111-1-1-1-1-1-1-1-11111-111-1-1-111-11-11-1-1
χ811111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111
χ91111-1-11111-1-11-111-1-11111-111-1-1111-1-1-1-111-1-11-1
χ101111-1-11111-1-11-111-1-11111-111-1-1-1-11-1-111-1-111-11
χ111111-1-11111-1-11-111-1-1-1-1-1-11-1-11-111111-1-1-1-1111-1
χ121111-1-11111-1-11-111-1-1-1-1-1-11-1-11-1-1-11111111-1-1-11
χ131111-1-11111-1-11-1-1-11111111-1-11111-1-1-1-1-11-1-11-11
χ141111-1-11111-1-11-1-1-11111111-1-111-1-1-1-1-111-111-11-1
χ151111-1-11111-1-11-1-1-111-1-1-1-1-111-1111-111-1-1-111-1-11
χ161111-1-11111-1-11-1-1-111-1-1-1-1-111-11-1-1-111111-1-111-1
χ172222222-22-2-2-2-220000000022-2-200000000000000
χ182222222-22-2-2-2-2200000000-2-22200000000000000
χ19222222-22-222-2-2-2222200000000-200-20000000000
χ20222222-22-222-2-2-2-2-2-2-20000000020020000000000
χ21222222-2-2-2-2-222-200002i2i−2i−2i000000002i−2i00000000
χ22222222-2-2-2-2-222-20000−2i−2i2i2i00000000−2i2i00000000
χ232222-2-22-22-222-2-2000000002-22-200000000000000
χ242222-2-22-22-222-2-200000000-22-2200000000000000
χ252222-2-2-22-22-22-2222-2-200000000200-20000000000
χ262222-2-2-22-22-22-22-2-22200000000-20020000000000
χ272222-2-2-2-2-2-22-22200002i2i−2i−2i00000000−2i2i00000000
χ282222-2-2-2-2-2-22-2220000−2i−2i2i2i000000002i−2i00000000
χ2944-4-40040-400000000022−2222−22000000000000000000
χ3044-4-40040-4000000000−2222−2222000000000000000000
χ3144-4-400-4040000000002i2−2i2−2i22i2000000000000000000
χ3244-4-400-404000000000−2i22i22i2−2i2000000000000000000
χ334-44-44i−4i0000000022−222i2−2i20000000000000000000000
χ344-44-44i−4i00000000−2222−2i22i20000000000000000000000
χ354-44-4−4i4i0000000022−22−2i22i20000000000000000000000
χ364-44-4−4i4i00000000−22222i2−2i20000000000000000000000
χ374-4-4400040-400000000000000000000002i2−2i2000000
χ384-4-4400040-40000000000000000000000−2i22i2000000
χ394-4-44000-4040000000000000000022−2200000000000
χ404-4-44000-40400000000000000000−222200000000000

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