The Civilian suit is made up of two each of 11 different tiles (6-6, 1-1, 4-4, 1-3, 5-5, 3-3, 2-2, 5-6, 4-6, 1-6, 1-5).  Note that all doubles in a Chinese domino set belong to the Civilian suit.  The first thing to remember about the Civil suit rankings is that tiles DON'T rank according to the number of pips on them.  Instead you must learn and understand a little about Chinese philosophical and cultural significance in nature to understand the order that Civil tiles rank and how they relate to one another.

The Civil suit tiles rank from high to low in descending order as follows:

Heaven (天) Tien (6-6)

Heaven is above all else (think of the English phrase "heavens above!") and this tile has the highest number of pips of any tile in the whole set.

Ranks above all the other tiles in the Civil suit.

Earth (地) Dai (1-1)

The lEarth is below all (particularly heaven), so this tile has the lowest number of pips of any tile in the set.  The Earth is directly below Heaven so it only seems right that this tile should rank directly below it.

 

Man (人) Yun (4-4)
Man is flesh and blood so this tile is all red (like blood).  Man resides on the Earth so it seems fitting that he ranks directly below it.

Goose (鵝) Gnor (1-3)
A goose is less of a being than Man and so ranks directly below him.  Imagine a red head atop a long craning neck

 
Plum Flowers (梅花) Mui Fa (5-5)
Picture the spots as two flowers with petals surrounding a central pollen area.  Flowers are less of a life form than an animal (goose) so they rank directly below it.

Long Threes (長三) Cheung Sam (3-3)
Simply two threes marked along the whole length of the tile.

Bench (板凳) Ban Dun (2-2)
Picture the four spots at the extremes of the tile as four legs of a bench with the tile as the seating platform

(斧頭) Fu Tau (Axe Head) (5-6)

Picture the five-spots as a hand contoured handle and the six-spots as the hatchet blade.

Red Head Ten (紅頭十) Hung Tau Sup (4-6)

Picture the six-spot as two legs which means the upper spotted value must be the head which is marked in red and both pipped values total ten.

Long Leg Seven (腳七) Go Guerk Chut (1-6)

Picture the six-spot as a pair of long legs and the red one-spot as s head with both values totalling seven.

.

Big Head Six (伶淋六) Ling Lum Luk (1-5)
Imagine the five-spots are the two legs, torso, and two arms of a man which means the one-spot is the head which, together, totals six.

The Military Suit (武子) Wû Zi

The Military suit is made up of one each of 10 different tiles (3-6, 4-5; 2-6, 3-5; 2-5, 3-4; 2-4; 1-4, 2-3; 1-2).  Note that there are no doubles in the Military suit.  If you can remember the ranks of the Civil suit then the Military suit can easily be remembered by a process of elimination.  The tiles you don't recognise as Civil are Military and rank according to pip total.