If you want a symmetric (& semi [pan]magic) cube, put in the 1st row of the 1st level of the 1st grid the
middle digit of 0 up to 4, that is 2, on the 1st position (from the left), and put the other digits in a 'symmetric'
order, for example: 2-3-4-0-1.
If you want only a panmagic cube, put in the 1st row of the 1st level of the 1st grid the 2 on the 1st position
and put the other digits in random order (i.e. 2-1-3-0-4).
Make row 2 up to 5 of the 1st level of the 1st grid by moving the 1st row each time ([5+1]/2 = ) 3 places to the
left. Make level 2 up to 5 of the 1st grid by moving the columns of the 1st level each time 2 places to the left.

If you want a symmetric (& semi [pan]magic) cube, put in the 1st row of the 1st level of the 2nd grid the
middle digit of 0 up to 4, that is 2, on the 3rd position (from the left) and put the other digits in a 'symmetric'
order, for example: 0-1-2-3-4.
If you want only a panmagic cube, put in the 1st row of the 1st level of the 1st grid the 2 on the 3rd position
and put the other digits in random order (i.e. 4-0-2-3-1).
Make row 2 up to 5 of the 1st level of the 2nd grid by moving the 1st row each time ([5+1]/2 = ) 3 places to the
right. Make level 2 up to 5 of the 2nd grid by moving the columns of the 1st level each time 2 places to the left.

The 3rd grid is the same as the 2nd grid, but the sequence of the levels is 5 up to 1 (in stead of 1 up
to 5).

Take 1x digit from the 1st grid + 5x digit from the 2nd grid + 25x digit from the 3rd grid and the symmetric &
semi (pan)magic 5x5x5 cube is ready.

 

1x digit +1           +     5x digit                +     25x digit              =   5x5x5 cube, 1st level
2	3	4	0	1			0	1	2	3	4			3	4	0	1	2			78	109	15	41	72
4	0	1	2	3			3	4	0	1	2			1	2	3	4	0			45	71	77	108	14
1	2	3	4	0			1	2	3	4	0			4	0	1	2	3			107	13	44	75	76
3	4	0	1	2			4	0	1	2	3			2	3	4	0	1			74	80	106	12	43
0	1	2	3	4			2	3	4	0	1			0	1	2	3	4			11	42	73	79	110
1x digit +1           +     5x digit                +     25x digit              =   5x5x5 cube, 2nd level
4	0	1	2	3			2	3	4	0	1			1	2	3	4	0			40	66	97	103	9
1	2	3	4	0			0	1	2	3	4			4	0	1	2	3			102	8	39	70	96
3	4	0	1	2			3	4	0	1	2			2	3	4	0	1			69	100	101	7	38
0	1	2	3	4			1	2	3	4	0			0	1	2	3	4			6	37	68	99	105
2	3	4	0	1			4	0	1	2	3			3	4	0	1	2			98	104	10	36	67
1x digit +1           +     5x digit                +     25x digit              =   5x5x5 cube, 3th level
1	2	3	4	0			4	0	1	2	3			4	0	1	2	3			122	3	34	65	91
3	4	0	1	2			2	3	4	0	1			2	3	4	0	1			64	95	121	2	33
0	1	2	3	4			0	1	2	3	4			0	1	2	3	4			1	32	63	94	125
2	3	4	0	1			3	4	0	1	2			3	4	0	1	2			93	124	5	31	62
4	0	1	2	3			1	2	3	4	0			1	2	3	4	0			35	61	92	123	4
1x digit +1           +   5x digit                  +    25x digit               =   5x5x5 cube, 4th level
3	4	0	1	2			1	2	3	4	0			2	3	4	0	1			59	90	116	22	28
0	1	2	3	4			4	0	1	2	3			0	1	2	3	4			21	27	58	89	120
2	3	4	0	1			2	3	4	0	1			3	4	0	1	2			88	119	25	26	57
4	0	1	2	3			0	1	2	3	4			1	2	3	4	0			30	56	87	118	24
1	2	3	4	0			3	4	0	1	2			4	0	1	2	3			117	23	29	60	86
1x digit +1           +    5x digit                 +   25x digit                =   5x5x5 cube, 5th level
0	1	2	3	4			3	4	0	1	2			0	1	2	3	4			16	47	53	84	115
2	3	4	0	1			1	2	3	4	0			3	4	0	1	2			83	114	20	46	52
4	0	1	2	3			4	0	1	2	3			1	2	3	4	0			50	51	82	113	19
1	2	3	4	0			2	3	4	0	1			4	0	1	2	3			112	18	49	55	81
3	4	0	1	2			0	1	2	3	4			2	3	4	0	1			54	85	111	17	48

Less & extra magic features:

• The diagonals through the levels from up to down and down to up give not the magic sum;
• The pandiagonals in the levels give the magic sum of 315;
• The pandiagonals through the levels from left to right and right to left give the magic sum of 315;
• The 5x5x5 cube is [fully] symmetric.