2x2x3 Cuboid

Orient Top and Bottom Faces

Orienting one face will solve the other

Case 1

-

Case 2

D' R2 D R2

Case 3

R2

Case 4

R2 y D2 R2

Permutate Top and Bottom Layers

Putting the top and bottom corners in the right place.

Case 1

(R2 U' R2) (U2 y) (R2 U' R2)

Case 2

R2 F2 R2

Case 3

(R2 U R2 U') (R2 F2) (U' F2 U F2)

Solve Middle Layer

Puttin the middle edge pieces in the right place.

Case 1

R2 H2 R2

Case 2

R2 Uw2 R2 U2 R2 D2

Case 3

R2 H2 R2