Finite Group Databasebeta

← Group #18739

Character table — Group #18739

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222244448888888888888888888888881616
order1222444444244422222444444488888888888844
χ11111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1
χ41111111111111111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-1-111-1-1-1-1-111-111111111-1-1-1-1-1-1
χ611111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ711111111111111-1-1-1-11-1-111-1-111111-1-1-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-111-1-11-1-1-1-111111111-1-1
χ911111-1-1111-1-1-111-11111-1-1-1-1-1111-1-111-1-111-1-11-1
χ1011111-1-1111-1-1-111-11111-1-1-1-1-11-1-111-1-111-1-111-11
χ1111111-1-1111-1-1-111-1-1-1-11-11111-111-1-1-1-11111-1-1-11
χ1211111-1-1111-1-1-111-1-1-1-11-11111-1-1-11111-1-1-1-1111-1
χ1311111-1-1111-1-1-11-1111-1-1111-1-1-111-1-111-1-1-1-111-11
χ1411111-1-1111-1-1-11-1111-1-1111-1-1-1-1-111-1-11111-1-11-1
χ1511111-1-1111-1-1-11-11-1-11-11-1-111111-1-1-1-111-1-1111-1
χ1611111-1-1111-1-1-11-11-1-11-11-1-1111-1-11111-1-111-1-1-11
χ172222222-2-222-2-2-22-2000-220000000000000000000
χ182222222-2-222-2-2-2-220002-20000000000000000000
χ1922222-2-2-2-22-222-222000-2-20000000000000000000
χ2022222-2-2-2-22-222-2-2-2000220000000000000000000
χ212222-22222-2-22-2-200002002-200-200000000000000
χ222222-22222-2-22-2-20000-200-2200200000000000000
χ232222-222-2-2-2-2-222002-2000002-2000000000000000
χ242222-222-2-2-2-2-22200-2200000-22000000000000000
χ252222-2-2-222-22-22-20000200-2200-200000000000000
χ262222-2-2-222-22-22-20000-2002-200200000000000000
χ272222-2-2-2-2-2-222-22002-200000-22000000000000000
χ282222-2-2-2-2-2-222-2200-22000002-2000000000000000
χ2944-4-40004-4000000000000000000000002i2−2i2000000
χ3044-4-40004-400000000000000000000000−2i22i2000000
χ3144-4-4000-440000000000000000000002i2−2i200000000
χ3244-4-4000-44000000000000000000000−2i22i200000000
χ334-44-404i−4i0000000000000000000000000002-22i−2i00
χ344-44-404i−4i000000000000000000000000000-22−2i2i00
χ354-44-40−4i4i0000000000000000000000000002-2−2i2i00
χ364-44-40−4i4i000000000000000000000000000-222i−2i00
χ374-4-4440000-400000000000000002i2−2i2000000000000
χ384-4-4440000-40000000000000000−2i22i2000000000000
χ394-4-44-40000400000000000000000022−220000000000
χ404-4-44-400004000000000000000000−22220000000000

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