Finite Group Databasebeta

← Group #24988

Character table — Group #24988

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11222222222444444488888888888888888816161616
order1222244448844448882222244444448888888888
χ11111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ611111111111-1-1-1-11111111-1-111-1-1-1-111-1-1-1-111-1-1
χ711111111111-1-1-1-1111-1-1-1-111-1-11111-1-111-1-111-1-1
χ811111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ9111111111-1-11111-1-1-111-1-1111111-1-1-1-1-1-1-1-11-11-1
χ10111111111-1-11111-1-1-111-1-1-1-1-1-111-1-11111-1-1-11-11
χ11111111111-1-11111-1-1-1-1-1111111-1-111-1-1-1-1-1-1-11-11
χ12111111111-1-11111-1-1-1-1-111-1-1-1-1-1-1111111-1-11-11-1
χ13111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-111-1
χ14111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111111-1-11
χ15111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-1-11
χ16111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-111-1
χ1722222-2-2-2-20022-2-20000000000000002i−2i2i−2i000000
χ1822222-2-2-2-20022-2-2000000000000000−2i2i−2i2i000000
χ1922222-2-2-2-200-2-2220000000000000002i−2i−2i2i000000
χ2022222-2-2-2-200-2-222000000000000000−2i2i2i−2i000000
χ21222-2-22-2-22002i−2i2i−2i00000002-22i−2i00000000000000
χ22222-2-22-2-22002i−2i2i−2i0000000-22−2i2i00000000000000
χ23222-2-22-2-2200−2i2i−2i2i00000002-2−2i2i00000000000000
χ24222-2-22-2-2200−2i2i−2i2i0000000-222i−2i00000000000000
χ25222-2-2-222-2222i−2i−2i2i2-2-200000000000000002i−2i0000
χ26222-2-2-222-222−2i2i2i−2i2-2-20000000000000000−2i2i0000
χ27222-2-2-222-2-2-22i−2i−2i2i-2220000000000000000−2i2i0000
χ28222-2-2-222-2-2-2−2i2i2i−2i-22200000000000000002i−2i0000
χ2922-22-222-2-2220000-22-2000000002i−2i2i−2i0000000000
χ3022-22-222-2-2220000-22-200000000−2i2i−2i2i0000000000
χ3122-22-222-2-2-2-200002-22000000002i−2i−2i2i0000000000
χ3222-22-222-2-2-2-200002-2200000000−2i2i2i−2i0000000000
χ3322-2-22-22-22220000-2-222-22-2000000000000000000
χ3422-2-22-22-22220000-2-22-22-22000000000000000000
χ3522-2-22-22-22-2-2000022-22-2-22000000000000000000
χ3622-2-22-22-22-2-2000022-2-222-2000000000000000000
χ3744-44-4-4-4440000000000000000000000000000000
χ3844-4-444-44-40000000000000000000000000000000
χ398-8000000042−4200000000000000000000000000000
χ408-80000000−424200000000000000000000000000000

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