Finite Group Databasebeta

← Group #18560

Character table — Group #18560

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111222222444444444444888888888888161616161616
order1222444444222444444444224444448888248888
χ11111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-11-1-111-11-1-1-1-1-11111-1-111-1-1
χ41111111111111111-1-11-1-111-11-1-1-1-1-1-1-1-1-111-1-111
χ511111111111-1-11-1-1111111-11-11-1-1-1-11111-1-1-1-111
χ611111111111-1-11-1-1111111-11-11-1-1-1-1-1-1-1-11111-1-1
χ711111111111-1-11-1-1-1-11-1-11-1-1-1-11111111111-1-1-1-1
χ811111111111-1-11-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-11111
χ91111-1-11111-111-1-1-111-1-1-11-1-11111-1-111-1-11-11-11-1
χ101111-1-11111-111-1-1-111-1-1-11-1-11111-1-1-1-111-11-11-11
χ111111-1-11111-111-1-1-1-1-1-1111-111-1-1-11111-1-1-111-1-11
χ121111-1-11111-111-1-1-1-1-1-1111-111-1-1-111-1-1111-1-111-1
χ131111-1-11111-1-1-1-11111-1-1-111-1-11-1-11111-1-1-11-111-1
χ141111-1-11111-1-1-1-11111-1-1-111-1-11-1-111-1-1111-11-1-11
χ151111-1-11111-1-1-1-111-1-1-111111-1-111-1-111-1-11-1-11-11
χ161111-1-11111-1-1-1-111-1-1-111111-1-111-1-1-1-111-111-11-1
χ172222222-2-22-22222200-200-2-20-2000000000000000
χ182222222-2-22-2-2-22-2-200-200-2202000000000000000
χ19222222-222-2200-20022-222-20-20-200000000000000
χ20222222-222-2200-200-2-2-2-2-2-2020200000000000000
χ21222222-2-2-2-2-200-20000200200002-22-20000000000
χ22222222-2-2-2-2-200-2000020020000-22-220000000000
χ232222-2-22-2-22222-2-2-200200-220-2000000000000000
χ242222-2-22-2-222-2-2-22200200-2-202000000000000000
χ252222-2-2-222-2-200200222-2-2-2020-200000000000000
χ262222-2-2-222-2-200200-2-2222-20-20200000000000000
χ272222-2-2-2-2-2-220020000-200200002-2-220000000000
χ282222-2-2-2-2-2-220020000-20020000-222-20000000000
χ2944-4-40004-400000000004i−4i0000000000000000000
χ3044-4-40004-40000000000−4i4i0000000000000000000
χ3144-4-4000-4400000004i−4i0000000000000000000000
χ3244-4-4000-440000000−4i4i0000000000000000000000
χ334-44-44i−4i0000000000000000000000002-22i−2i000000
χ344-44-44i−4i000000000000000000000000-22−2i2i000000
χ354-44-4−4i4i0000000000000000000000002-2−2i2i000000
χ364-44-4−4i4i000000000000000000000000-222i−2i000000
χ374-4-4400400-400004i−4i000000000000000000000000
χ384-4-4400400-40000−4i4i000000000000000000000000
χ394-4-4400-400404-4000000000000000000000000000
χ404-4-4400-40040-44000000000000000000000000000

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