Finite Group Databasebeta

← Group #19340

Character table — Group #19340

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222222224444444444888888881616161616161616
order1222444444888824448888884444888824448888
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11-111-1-1
χ61111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111
χ71111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1-111
χ81111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1
χ91111-1-111111111-1-11-1-1-111-1-111-1-111-1-111-1-11-11-1
χ101111-1-111111111-1-11-1-1-111-1-111-1-111-1-1-1-111-11-11
χ111111-1-111111111-1-11-1-1-111-1-1-1-111-1-11111-1-1-11-11
χ121111-1-111111111-1-11-1-1-111-1-1-1-111-1-111-1-1111-11-1
χ131111-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-1111-1-111-1-11
χ141111-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-111-111-1-111-1
χ151111-1-11111-1-1-1-1-1-11-111-1-111-1-11111-1-11-1-11-111-1
χ161111-1-11111-1-1-1-1-1-11-111-1-111-1-11111-1-1-111-11-1-11
χ172222222-2-222222-2-2-22-2-2-2-2220000000000000000
χ182222222-2-22-2-2-2-2-2-2-222222-2-20000000000000000
χ19222222-222-200002-2-2-20000002-22-2000000000000
χ20222222-222-200002-2-2-2000000-22-22000000000000
χ21222222-2-2-2-20000-222-200000000002i−2i2i−2i00000000
χ22222222-2-2-2-20000-222-20000000000−2i2i−2i2i00000000
χ232222-2-22-2-22222222-2-222-2-2-2-20000000000000000
χ242222-2-22-2-22-2-2-2-222-2-2-2-222220000000000000000
χ252222-2-2-222-20000-22-220000002-2-22000000000000
χ262222-2-2-222-20000-22-22000000-222-2000000000000
χ272222-2-2-2-2-2-200002-22200000000002i−2i−2i2i00000000
χ282222-2-2-2-2-2-200002-2220000000000−2i2i2i−2i00000000
χ2944-4-400400-444-4-400000000000000000000000000
χ3044-4-400400-4-4-44400000000000000000000000000
χ3144-4-400-4004000000004i−4i00000000000000000000
χ3244-4-400-400400000000−4i4i00000000000000000000
χ334-44-40004-402i2−2i22i2−2i20000002i2−2i2000000000000000000
χ344-44-40004-40−2i22i2−2i22i2000000−2i22i2000000000000000000
χ354-44-4000-4402i2−2i22i2−2i2000000−2i22i2000000000000000000
χ364-44-4000-440−2i22i2−2i22i20000002i2−2i2000000000000000000
χ374-4-444i−4i00002i2−2i2−2i22i20000000022−220000000000000000
χ384-4-444i−4i0000−2i22i22i2−2i200000000−22220000000000000000
χ394-4-44−4i4i00002i2−2i2−2i22i200000000−22220000000000000000
χ404-4-44−4i4i0000−2i22i22i2−2i20000000022−220000000000000000

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