Finite Group Databasebeta

← Group #10045

Character table — Group #10045

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31
size11112222444448888888816161616161616161616
order1222444424444444488884444888888
χ11111111111111111111111111111111
χ2111111111111111111111-111-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11-1-11-1-111-1-1
χ411111111111111111-1-1-1-1-1-1-1-111-1-111
χ51111111111111-1-1-1-111111-1-1111-1-1-1-1
χ61111111111111-1-1-1-11111-1-1-1-1-1-11111
χ71111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-1-111-11111-1-1
χ922222222-2-2-22-2000022-2-20000000000
χ1022222222-2-2-22-20000-2-2220000000000
χ11222222-2-222-2-2-20000000000002i−2i0000
χ12222222-2-222-2-2-2000000000000−2i2i0000
χ13222222-2-2-2-22-2200000000200-2000000
χ14222222-2-2-2-22-2200000000-2002000000
χ152222-2-2222-22-2-200000000000000002-2
χ162222-2-2222-22-2-20000000000000000-22
χ172222-2-222-22-2-22000000000000002-200
χ182222-2-222-22-2-2200000000000000-2200
χ192222-2-2-2-22-2-22222-2-200000000000000
χ202222-2-2-2-22-2-222-2-22200000000000000
χ212222-2-2-2-2-2222-20000000002-20000000
χ222222-2-2-2-2-2222-2000000000-220000000
χ2344-4-44-4000000000000022−220000000000
χ2444-4-44-40000000000000−22220000000000
χ2544-4-4-440000000000022−22000000000000
χ2644-4-4-4400000000000−2222000000000000
χ274-4-44004i−4i000002i−2i2-200000000000000
χ284-4-44004i−4i00000−2i2i-2200000000000000
χ294-4-4400−4i4i000002i−2i-2200000000000000
χ304-4-4400−4i4i00000−2i2i2-200000000000000
χ318-88-8000000000000000000000000000

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