If your drive is a Logical Volume Group (LVG), you are using CoreStorage and that file system only allows 2 partitions.
To check, open Terminal and type diskutil cs list and post your results here. You should see something like below if you do.
Last login: Tue Sep 1 04:50:41 on console
CoreStorage logical volume groups (1 found)
+-- Logical Volume Group 58EB8CB0-21FC-47C3-B507-880639AAAFB6
=========================================================
Name: Macintosh HD
Status: Online
Size: 125140434944 B (125.1 GB)
Free Space: 15958016 B (16.0 MB)
|
+-< Physical Volume 3BE66E07-52E3-4D26-98D5-1448E255BBFE
| ----------------------------------------------------
| Index: 0
| Disk: disk0s2
| Status: Online
| Size: 125140434944 B (125.1 GB)
|
+-> Logical Volume Family B8A1CE89-F0B3-4C91-80E6-501D8B5BB526
----------------------------------------------------------
Encryption Type: AES-XTS
Encryption Status: Unlocked
Conversion Status: Complete
High Level Queries: Fully Secure
| Passphrase Required
| Accepts New Users
| Has Visible Users
| Has Volume Key
|
+-> Logical Volume C4D7294A-8F77-40D7-8DED-A86992300339
---------------------------------------------------
Disk: disk3
Status: Online
Size (Total): 124772155392 B (124.8 GB)
Revertible: Yes (unlock and decryption required)
LV Name: Macintosh HD
Volume Name: Macintosh HD
Content Hint: Apple_HFS