26 letters in the English Alphabet, so upper and lowercase there's 54. Now add the 10 different numbers (0-9) and we get 64. There's 8 unaccounted for numbers, that you don't know. So 64^8 which comes out to 2.8147498e+14 so around 281,474,980,000,000 possible combinations, just for the 8 missing characters. (My math may be wrong, I haven't taken a class in years)
You have no idea how keys work. I'm going to actually update my estimate here to be more accurate.
First off, there are exactly 32 valid characters that can go in each spot. ABCDEFGHJKLMNPQRSTUVWXYZ23456
789 are the valid characters.
Second, there are 2 characters in the last 8 characters of the key tail (The part after the key ID) that depend on on the first 4 characters of the key tail.
So, for each of the 32
4 (1.04 million) combinations of the first 4 characters of the key tail:
1. There's a 3/14 chance of those 2 characters being in the first 4 unknown characters of the key tail.
2. There's a 3/14 chance of those 2 characters both being in the 4 known characters of the key tail.
3. There's a 4/7 chance of one being in the unknown characters and one being in the known characters.
You can verify that those 3 numbers add up to be exactly 1.
For point #2, there's only a 1 in 32
2 (1,024) chance that those 2 characters will match up with the known characters.
For point #3, there's a 1 in 32 chance that the 1 character will match up with the known characters.
Using what I just said, we can further refine the numbers. Now out of 1.04 million combinations of the first 4 characters of the key tail:
1. 3/14 of them have 2 more unknown characters.
2. 3/14336 of them have 4 more unknown characters.
3. 1/56 of them have 3 more unknown characters.
Using those numbers we can come up with a formula for the total number of possible combinations:
32
4 * 3 / 14 * 32
2 +
32
4 * 3 / 14336 * 32
4 +
32
4 / 56 * 32
3 =
Approximately 1.07 billion possible key combinations.That's much more than my original estimate, but it's a hell of a lot more accurate. It's also exactly 32
2 times less combinations than a plain brute force of all 8 unknown characters.