Finite Group Databasebeta

← Group #10000

Character table — Group #10000

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222222224448888888888888888161616161616
order1222224444444442222444488888888444488
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ5111111111111111-1-111-1-11111111111-1-1-1-1-1-1
χ6111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111
χ7111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ9222222222-2-22-2-2-2002200-2-200000000000000
χ10222222222-2-22-2-2-200-2-2002200000000000000
χ11222222-2-2-222-2-22-20000000000000000002-200
χ12222222-2-2-222-2-22-2000000000000000000-2200
χ13222222-2-2-2-2-2-22-222200-2-20000000000000000
χ14222222-2-2-2-2-2-22-22-2-200220000000000000000
χ152222-2-222-222-2-2-2200000000000022-2-2000000
χ162222-2-222-222-2-2-22000000000000-2-222000000
χ172222-2-222-2-2-2-222-2000000002i2i−2i−2i0000000000
χ182222-2-222-2-2-2-222-200000000−2i−2i2i2i0000000000
χ192222-2-2-2-222222-2-2000000000000000000002-2
χ202222-2-2-2-222222-2-200000000000000000000-22
χ212222-2-2-2-22-2-22-22200000000000000002-20000
χ222222-2-2-2-22-2-22-2220000000000000000-220000
χ2322-2-22-22-2-20020000000002i−2i2−22−2i2−i2i2−i2000000
χ2422-2-22-22-2-20020000000002i−2i−22−22−i2i2−i2i2000000
χ2522-2-22-22-2-2002000000000−2i2i2−22−2−i2i2−i2i2000000
χ2622-2-22-22-2-2002000000000−2i2i−22−22i2−i2i2−i2000000
χ2722-2-2-222-2200-2000002-20000i2−i2−i2i2i2−i2−i2i2000000
χ2822-2-2-222-2200-2000002-20000−i2i2i2−i2−i2i2i2−i2000000
χ2922-2-2-222-2200-200000-220000i2−i2−i2i2−i2i2i2−i2000000
χ3022-2-2-222-2200-200000-220000−i2i2i2−i2i2−i2−i2i2000000
χ3144-4-44-4-44400-40000000000000000000000000
χ3244-4-4-44-44-40040000000000000000000000000
χ334-44-4000004i−4i00002-2002i−2i0000000000000000
χ344-44-4000004i−4i0000-2200−2i2i0000000000000000
χ354-44-400000−4i4i00002-200−2i2i0000000000000000
χ364-44-400000−4i4i0000-22002i−2i0000000000000000
χ378-8-88000000000000000000000000000000000

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