Finite Group Databasebeta

← Group #31076

Character table — Group #31076

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111222222444444444444888888888888161616161616
order1244222444444444444444222222444444888888
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ511111111111111-1-1-1-1-1-1-1-1111-11-1111-11-1-1-11-11-1
χ611111111111111-1-1-1-1-1-1-1-111-11-1111-11-11-1-1-11-11
χ711111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11111-1-11
χ811111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-111-1
χ91111111111-1-1-1-11111-1-1-1-11-1111-11-1111-11-1-1-1-11
χ101111111111-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-111-1111-1
χ111111111111-1-1-1-11111-1-1-1-1-1111-11-1111-11-11-1-11-1
χ121111111111-1-1-1-11111-1-1-1-1-11-1-11-1-11-1-11-1-1111-11
χ131111111111-1-1-1-1-1-1-1-111111-11-1111-11-111-11-11-1-1
χ141111111111-1-1-1-1-1-1-1-111111-1-11-1-11-1-11-1-1-111-111
χ151111111111-1-1-1-1-1-1-1-11111-111-1-1-1-111-1-1-11-1-1111
χ161111111111-1-1-1-1-1-1-1-11111-11-1111-11-11111-11-1-1-1
χ1722-2-22-2-222-20000000022-2-20000220000-2-2000000
χ1822-2-22-2-222-20000000022-2-20000-2-2000022000000
χ1922-2-22-2-222-200000000-2-22200002-20000-22000000
χ2022-2-22-2-222-200000000-2-2220000-2200002-2000000
χ2122-2-2-22-22-22000022-2-2000000220000-2-200000000
χ2222-2-2-22-22-22000022-2-2000000-2-200002200000000
χ2322-2-2-22-22-220000-2-2220000002-20000-2200000000
χ2422-2-2-22-22-220000-2-222000000-2200002-200000000
χ2522-2-2-2-22-22222-2-200000000220000-2-20000000000
χ2622-2-2-2-22-22222-2-200000000-2-20000220000000000
χ2722-2-2-2-22-222-2-222000000002-20000-220000000000
χ2822-2-2-2-22-222-2-22200000000-2200002-20000000000
χ2944444-4-4-4-44000000000000000000000000000000
χ304444-44-4-44-4000000000000000000000000000000
χ314444-4-444-4-4000000000000000000000000000000
χ3244-4-4444-4-4-4000000000000000000000000000000
χ334-44i−4i0000002-22i−2i2-22i−2i2-22i−2i000000000000000000
χ344-44i−4i0000002-22i−2i-22−2i2i-22−2i2i000000000000000000
χ354-44i−4i000000-22−2i2i2-22i−2i-22−2i2i000000000000000000
χ364-44i−4i000000-22−2i2i-22−2i2i2-22i−2i000000000000000000
χ374-4−4i4i0000002-2−2i2i2-2−2i2i2-2−2i2i000000000000000000
χ384-4−4i4i0000002-2−2i2i-222i−2i-222i−2i000000000000000000
χ394-4−4i4i000000-222i−2i2-2−2i2i-222i−2i000000000000000000
χ404-4−4i4i000000-222i−2i-222i−2i2-2−2i2i000000000000000000

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