Finite Group Databasebeta

← Group #10039

Character table — Group #10039

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31
size11112222444448888888816161616161616161616
order1222444424444224488882444888888
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
χ922222222-2-22-2-2000022-2-20000000000
χ1022222222-2-22-2-20000-2-2220000000000
χ11222222-2-222-2-2-20000000000002i−2i0000
χ12222222-2-222-2-2-2000000000000−2i2i0000
χ13222222-2-2-2-2-22200000000200-2000000
χ14222222-2-2-2-2-22200000000-2002000000
χ152222-2-2222-2-2-2200000000000000002-2
χ162222-2-2222-2-2-220000000000000000-22
χ172222-2-222-22-22-2000000000000002-200
χ182222-2-222-22-22-200000000000000-2200
χ192222-2-2-2-22-222-222-2-200000000000000
χ202222-2-2-2-22-222-2-2-22200000000000000
χ212222-2-2-2-2-222-220000000002-20000000
χ222222-2-2-2-2-222-22000000000-220000000
χ2344-4-4004i−4i000002-22i−2i00000000000000
χ2444-4-4004i−4i00000-22−2i2i00000000000000
χ2544-4-400−4i4i000002-2−2i2i00000000000000
χ2644-4-400−4i4i00000-222i−2i00000000000000
χ274-44-44-400000000000002i2−2i20000000000
χ284-44-44-40000000000000−2i22i20000000000
χ294-44-4-44000000000002i2−2i2000000000000
χ304-44-4-4400000000000−2i22i2000000000000
χ318-8-88000000000000000000000000000

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