Finite Group Databasebeta

← Group #27153

Character table — Group #27153

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444444444444444448888888824
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1
χ411111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111-1-1-1-111111-1-11-1-111-1-111-1-1-1-1-1-1-1-111
χ61111111111111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ9111111111111-1-1-1-1111111-1-11-1-1-1-1-11111-1-1-1-1-1-11111-11
χ10111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-111111111-1-1-1-11-1
χ11111111111111-1-1-1-11111-1-111-1-1-111111-1-1-1-1-1-11111-1-11-1
χ12111111111111-1-1-1-11111-1-111-1-1-1111-1-1-1-11111-1-1-1-111-11
χ13111111111111-1-1-1-1-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-11
χ14111111111111-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-1-1-111111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-111-1111-1-11111-1-111-1-1-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11111-1-11111-1-1-11
χ1722222222-2-2-2-222-2-200002222-200-2000000000000000000
χ1822222222-2-2-2-222-2-20000-2-2-2-22002000000000000000000
χ1922222222-2-2-2-2-2-222000022-2-2-2002000000000000000000
χ2022222222-2-2-2-2-2-2220000-2-222200-2000000000000000000
χ21222-2-22-2-2-22-2200002i2i−2i−2i00000000002i−2i000000002-20000
χ22222-2-22-2-2-22-2200002i2i−2i−2i0000000000−2i2i00000000-220000
χ23222-2-22-2-2-22-220000−2i−2i2i2i00000000002i−2i00000000-220000
χ24222-2-22-2-2-22-220000−2i−2i2i2i0000000000−2i2i000000002-20000
χ2522-22-2-22-2-2-22200002-22-2000000000000002i−2i2i−2i00000000
χ2622-22-2-22-2-2-22200002-22-200000000000000−2i2i−2i2i00000000
χ2722-22-2-22-2-2-2220000-22-22000000000000002i−2i−2i2i00000000
χ2822-22-2-22-2-2-2220000-22-2200000000000000−2i2i2i−2i00000000
χ2922-2-22-2-222-2-222i−2i2i−2i2i−2i−2i2i000002-20000000000000000000
χ3022-2-22-2-222-2-222i−2i2i−2i−2i2i2i−2i00000-220000000000000000000
χ3122-2-22-2-222-2-22−2i2i−2i2i2i−2i−2i2i00000-220000000000000000000
χ3222-2-22-2-222-2-22−2i2i−2i2i−2i2i2i−2i000002-20000000000000000000
χ3322-2-22-2-22-222-22i−2i−2i2i0000000000002i−2i002-2000000000000
χ3422-2-22-2-22-222-22i−2i−2i2i000000000000−2i2i00-22000000000000
χ3522-2-22-2-22-222-2−2i2i2i−2i0000000000002i−2i00-22000000000000
χ3622-2-22-2-22-222-2−2i2i2i−2i000000000000−2i2i002-2000000000000
χ37444-4-44-4-44-44-40000000000000000000000000000000000
χ3844-44-4-44-444-4-40000000000000000000000000000000000
χ394-444-4-4-4400000000000000000000000000000000002i2−2i200
χ404-444-4-4-440000000000000000000000000000000000−2i22i200
χ414-44-44-44-40000000000004i−4i000000000000000000000000
χ424-44-44-44-4000000000000−4i4i000000000000000000000000
χ434-4-4444-4-4000000000000004i−4i0000000000000000000000
χ444-4-4444-4-400000000000000−4i4i0000000000000000000000
χ454-4-4-4-444400000000000000000000000000000022−22000000
χ464-4-4-4-4444000000000000000000000000000000−2222000000

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