Finite Group Databasebeta

← Group #19552

Character table — Group #19552

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111222222444444444444888888888888161616161616
order1222444444244488888888224488888888224488
χ11111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ511111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1
χ711111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ811111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ91111-1-11111-11-1-1111111-1-11-11-111-1-11-1-1-11-1-111-1
χ101111-1-11111-11-1-1111111-1-11-11-1-1-1-1-11-111-111-1-11
χ111111-1-11111-11-1-11111-1-111-11-1111-1-1-11-1-1-11-11-11
χ121111-1-11111-11-1-11111-1-111-11-11-1-1-1-1-11111-11-11-1
χ131111-1-11111-11-1-1-1-1-1-111-1-1-11-1111111-1-1-1-111-11-1
χ141111-1-11111-11-1-1-1-1-1-111-1-1-11-11-1-1111-1111-1-11-11
χ151111-1-11111-11-1-1-1-1-1-1-1-1111-11-11111-11-1-11-11-1-11
χ161111-1-11111-11-1-1-1-1-1-1-1-1111-11-1-1-111-1111-11-111-1
χ172222222-2-22-2-2-220000000022-2-200000000000000
χ182222222-2-22-2-2-2200000000-2-22200000000000000
χ19222222-222-2-2-22-20000222200000000-2-200000000
χ20222222-222-2-2-22-20000-2-2-2-2000000002200000000
χ21222222-2-2-2-222-2-22i2i−2i−2i00000000002i−2i0000000000
χ22222222-2-2-2-222-2-2−2i−2i2i2i0000000000−2i2i0000000000
χ232222-2-22-2-222-22-2000000002-2-2200000000000000
χ242222-2-22-2-222-22-200000000-222-200000000000000
χ252222-2-2-222-22-2-22000022-2-200000000-2200000000
χ262222-2-2-222-22-2-220000-2-222000000002-200000000
χ272222-2-2-2-2-2-2-22222i2i−2i−2i0000000000−2i2i0000000000
χ282222-2-2-2-2-2-2-2222−2i−2i2i2i00000000002i−2i0000000000
χ2944-4-44-40000000000002i2−2i22i2−2i2000000000000000000
χ3044-4-44-4000000000000−2i22i2−2i22i2000000000000000000
χ3144-4-4-440000000000002i2−2i2−2i22i2000000000000000000
χ3244-4-4-44000000000000−2i22i22i2−2i2000000000000000000
χ334-44-400400-400002i2−2i22i2−2i20000000000000000000000
χ344-44-400400-40000−2i22i2−2i22i20000000000000000000000
χ354-44-400-4004000022−22−22220000000000000000000000
χ364-44-400-40040000−222222−220000000000000000000000
χ374-4-440004-40000000000000000022−22000000000000
χ384-4-440004-400000000000000000−2222000000000000
χ394-4-44000-440000000000000000000000022−22000000
χ404-4-44000-4400000000000000000000000−2222000000

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