Finite Group Databasebeta

← Group #27513

Character table — Group #27513

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444442244444444448888888824
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111
χ9111111111111-1-1-1-111-1-11111-1-1-11-1-11111-1-1-1-1-1-11111-11
χ10111111111111-1-1-1-111-1-11111-1-1-11-1-111-1-1111111-1-1-1-11-1
χ11111111111111-1-1-1-111-1-1-1-1-1-111-1111-1-111-1-11111-1-1-1-1-11
χ12111111111111-1-1-1-111-1-1-1-1-1-111-1111-1-1-1-111-1-1-1-111111-1
χ13111111111111-1-1-1-1-1-1111111111-1-1-1-1-111-1-1-1-11111-1-11-1
χ14111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-11111-1-1-1-111-11
χ15111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1111111-1-111-1-1-1-1111-1
χ16111111111111-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-11111-1-1-11
χ1722222222-2-2-2-222-2-22222000000-2-2000000000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200000022000000000000000000
χ1922222222-2-2-2-2-2-22222-2-20000002-2000000000000000000
χ2022222222-2-2-2-2-2-222-2-222000000-22000000000000000000
χ21222-2-2-2-222-2-222i−2i2i−2i000000002-200002i−2i00000000000000
χ22222-2-2-2-222-2-222i−2i2i−2i00000000-220000−2i2i00000000000000
χ23222-2-2-2-222-2-22−2i2i−2i2i000000002-20000−2i2i00000000000000
χ24222-2-2-2-222-2-22−2i2i−2i2i00000000-2200002i−2i00000000000000
χ25222-2-2-2-22-222-22i−2i−2i2i000022-2-200002i−2i0000000000000000
χ26222-2-2-2-22-222-22i−2i−2i2i0000-2-2220000−2i2i0000000000000000
χ27222-2-2-2-22-222-2−2i2i2i−2i000022-2-20000−2i2i0000000000000000
χ28222-2-2-2-22-222-2−2i2i2i−2i0000-2-22200002i−2i0000000000000000
χ2922-222-2-2-2-22-22000000002i−2i2i−2i000000002i−2i0000002-20000
χ3022-222-2-2-2-22-22000000002i−2i2i−2i00000000−2i2i000000-220000
χ3122-222-2-2-2-22-2200000000−2i2i−2i2i000000002i−2i000000-220000
χ3222-222-2-2-2-22-2200000000−2i2i−2i2i00000000−2i2i0000002-20000
χ3322-2-2-222-222-2-2000000002i−2i−2i2i00000000002i−2i2-200000000
χ3422-2-2-222-222-2-2000000002i−2i−2i2i0000000000−2i2i-2200000000
χ3522-2-2-222-222-2-200000000−2i2i2i−2i00000000002i−2i-2200000000
χ3622-2-2-222-222-2-200000000−2i2i2i−2i0000000000−2i2i2-200000000
χ3744-444-4-4-44-44-40000000000000000000000000000000000
χ3844-4-4-444-4-4-4440000000000000000000000000000000000
χ394-444-44-4-4000000004i−4i0000000000000000000000000000
χ404-444-44-4-400000000−4i4i0000000000000000000000000000
χ414-44-44-44-400000000004i−4i00000000000000000000000000
χ424-44-44-44-40000000000−4i4i00000000000000000000000000
χ434-4-44-4-444000000000000000000000000000000000022−2200
χ444-4-44-4-4440000000000000000000000000000000000−222200
χ454-4-4-444-4400000000000000000000000000000022−22000000
χ464-4-4-444-44000000000000000000000000000000−2222000000

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