Finite Group Databasebeta

← Group #27157

Character table — Group #27157

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444444444444444448888888824
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111
χ4111111111111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1111111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1
χ611111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ711111111111111-1-111-1-1-1-1-1-111-111-111-1-111-1-111-1-111-1-1
χ811111111111111-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-111-1-111
χ9111111111111-1-111-1-11111-1-111-1111-1-1-1-1-1-1-1-1-1-11111-11
χ10111111111111-1-111-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-11-1
χ11111111111111-1-111-1-1-1-1-1-1-1-111-1-1-111111-1-11111-1-1-1-1-11
χ12111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1
χ13111111111111-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-11111-1-11-1
χ14111111111111-1-1-1-1-1-1111111-1-11-1-1-111-1-11111-1-1-1-111-11
χ15111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-1-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-11111-1-1-11
χ1722222222-2-2-2-22222-2-20000-2-200200-20000000000000000
χ1822222222-2-2-2-222-2-2-2-200002200-20020000000000000000
χ1922222222-2-2-2-2-2-2222200002200-200-20000000000000000
χ2022222222-2-2-2-2-2-2-2-2220000-2-20020020000000000000000
χ21222-2-22-2-2-22-220000002i2i−2i−2i002i−2i000000000000002-20000
χ22222-2-22-2-2-22-220000002i2i−2i−2i00−2i2i00000000000000-220000
χ23222-2-22-2-2-22-22000000−2i−2i2i2i002i−2i00000000000000-220000
χ24222-2-22-2-2-22-22000000−2i−2i2i2i00−2i2i000000000000002-20000
χ2522-22-2-22-2-2-2220000002-22-20000000000002i−2i2i−2i00000000
χ2622-22-2-22-2-2-2220000002-22-2000000000000−2i2i−2i2i00000000
χ2722-22-2-22-2-2-222000000-22-220000000000002i−2i−2i2i00000000
χ2822-22-2-22-2-2-222000000-22-22000000000000−2i2i2i−2i00000000
χ2922-2-22-2-222-2-222i−2i002i−2i2i−2i−2i2i00000000002-2000000000000
χ3022-2-22-2-222-2-222i−2i002i−2i−2i2i2i−2i0000000000-22000000000000
χ3122-2-22-2-222-2-22−2i2i00−2i2i2i−2i−2i2i0000000000-22000000000000
χ3222-2-22-2-222-2-22−2i2i00−2i2i−2i2i2i−2i00000000002-2000000000000
χ3322-2-22-2-22-222-22i−2i00−2i2i0000000002-202i−2i00000000000000
χ3422-2-22-2-22-222-22i−2i00−2i2i000000000-220−2i2i00000000000000
χ3522-2-22-2-22-222-2−2i2i002i−2i0000000002-20−2i2i00000000000000
χ3622-2-22-2-22-222-2−2i2i002i−2i000000000-2202i−2i00000000000000
χ37444-4-44-4-44-44-40000000000000000000000000000000000
χ3844-44-4-44-444-4-40000000000000000000000000000000000
χ394-444-4-4-440000000000000000000000000000002i2−2i2000000
χ404-444-4-4-44000000000000000000000000000000−2i22i2000000
χ414-44-44-44-4000000000000004i−4i0000000000000000000000
χ424-44-44-44-400000000000000−4i4i0000000000000000000000
χ434-4-4444-4-40000004i−4i000000000000000000000000000000
χ444-4-4444-4-4000000−4i4i000000000000000000000000000000
χ454-4-4-4-4444000000000000000000000000000000000022−2200
χ464-4-4-4-44440000000000000000000000000000000000−222200

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