Finite Group Databasebeta

← Group #18705

Character table — Group #18705

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111222222444444444444888888888888161616161616
order1222444444244488888888222224444444448888
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-111-1-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-111-1-1-1-1-111
χ41111111111111111111111-1-1-1-11-1-111-1-11-1-111-1-1
χ511111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11111-1-1
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-111
χ91111-1-11111-1-1-111111-1-1-1-1111-11-1-11-11-1-11-11-11-1
χ101111-1-11111-1-1-111111-1-1-1-111-11-1-1-1-11-1111-1-11-11
χ111111-1-11111-1-1-111111-1-1-1-1-1-11-1-111-111-11-11-111-1
χ121111-1-11111-1-1-111111-1-1-1-1-1-1-111111-1-11-1-111-1-11
χ131111-1-11111-1-1-11-1-1-1-11111111-11-1-11-11-1-1-11-11-11
χ141111-1-11111-1-1-11-1-1-1-1111111-11-1-1-1-11-111-111-11-1
χ151111-1-11111-1-1-11-1-1-1-11111-1-11-1-111-111-111-11-1-11
χ161111-1-11111-1-1-11-1-1-1-11111-1-1-111111-1-11-11-1-111-1
χ172222222-2-22-22-2-2000000000000200-2-2002000000
χ182222222-2-22-22-2-2000000000000-2002200-2000000
χ19222222-222-22-2-2-200000000002-200000-220000000
χ20222222-222-22-2-2-20000000000-22000002-20000000
χ21222222-2-2-2-2-2-222000000002-20002-200000000000
χ22222222-2-2-2-2-2-22200000000-22000-2200000000000
χ232222-2-22-2-222-22-2000000000000200-2200-2000000
χ242222-2-22-2-222-22-2000000000000-2002-2002000000
χ252222-2-2-222-2-222-200000000002200000-2-20000000
χ262222-2-2-222-2-222-20000000000-2-200000220000000
χ272222-2-2-2-2-2-222-22000000002-2000-2200000000000
χ282222-2-2-2-2-2-222-2200000000-220002-200000000000
χ2944-4-40004-40000000002i22i2−2i2−2i2000000000000000000
χ3044-4-40004-4000000000−2i2−2i22i22i2000000000000000000
χ3144-4-4000-44000002i22i2−2i2−2i20000000000000000000000
χ3244-4-4000-4400000−2i2−2i22i22i20000000000000000000000
χ334-44-44i−4i000000002-22-22i−2i2i−2i000000000000000000
χ344-44-44i−4i00000000-22-22−2i2i−2i2i000000000000000000
χ354-44-4−4i4i000000002-22-2−2i2i−2i2i000000000000000000
χ364-44-4−4i4i00000000-22-222i−2i2i−2i000000000000000000
χ374-4-4400400-400002i2−2i2−2i22i20000000000000000000000
χ384-4-4400400-40000−2i22i22i2−2i20000000000000000000000
χ394-4-4400-40040000000022−22−2222000000000000000000
χ404-4-4400-400400000000−222222−22000000000000000000

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