Finite Group Databasebeta

← Group #23992

Character table — Group #23992

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11222222244444444448888888888888888816161616
order1222244442244444444224444444444488884488
χ11111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ31111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-111-1-1
χ61111111111111-1-1-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-111
χ71111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-111
χ81111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1
χ9111111111-1-1-1-11111-1-11-11-111-1-1-1-1-11111-1-11-11-1
χ10111111111-1-1-1-11111-1-11-11-1-1-111-111-1-111-1-1-11-11
χ11111111111-1-1-1-11111-1-1-11-1111-1-1-1-1-111-1-111-11-11
χ12111111111-1-1-1-11111-1-1-11-11-1-111-111-1-1-1-1111-11-1
χ13111111111-1-1-1-1-1-1-1-1111-11-111111-1-1-1-1-1-1111-1-11
χ14111111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-111111-1-111-111-1
χ15111111111-1-1-1-1-1-1-1-111-11-1111111-1-1-1-111-1-1-111-1
χ16111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-11111111-1-11-1-11
χ1722222-2-2-2-22-22-200000000002-20002-20000000000
χ1822222-2-2-2-22-22-20000000000-22000-220000000000
χ1922222-2-2-2-2-22-2200000000002-2000-220000000000
χ2022222-2-2-2-2-22-220000000000-220002-20000000000
χ21222-2-222-2-200002i2i−2i−2i00020-2000000000002i−2i0000
χ22222-2-222-2-200002i2i−2i−2i000-20200000000000−2i2i0000
χ23222-2-222-2-20000−2i−2i2i2i00020-200000000000−2i2i0000
χ24222-2-222-2-20000−2i−2i2i2i000-202000000000002i−2i0000
χ2522-22-22-22-200002i−2i2i−2i0020-200000000002i−2i000000
χ2622-22-22-22-200002i−2i2i−2i00-2020000000000−2i2i000000
χ2722-22-22-22-20000−2i2i−2i2i0020-20000000000−2i2i000000
χ2822-22-22-22-20000−2i2i−2i2i00-20200000000002i−2i000000
χ2922-2-222-2-222-2-222-2-222200000000-2000000000000
χ3022-2-222-2-222-2-22-222-2-2-2000000002000000000000
χ3122-2-222-2-22-222-22-2-22-2-2000000002000000000000
χ3222-2-222-2-22-222-2-222-22200000000-2000000000000
χ3322-2-22-222-222-2-20000000000002-20002-200000000
χ3422-2-22-222-222-2-2000000000000-22000-2200000000
χ3522-2-22-222-2-2-2220000000000002-2000-2200000000
χ3622-2-22-222-2-2-222000000000000-220002-200000000
χ37444-4-4-4-4440000000000000000000000000000000
χ3844-44-4-44-440000000000000000000000000000000
χ398-80000000000000004-4000000000000000000000
χ408-8000000000000000-44000000000000000000000

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