Server :: Creating Multiple Logical Groups Out Of Physical Volume?

How to create multiple Logical Groups out of a single Physical Volume? Here is the Physical Volume I have created:

Code:
# pvdisplay
--- Physical volume ---
PV Name /dev/sda9
VG Name myVG1
PV Size 54.88 MB / not usable 2.88 MB
Allocatable yes
PE Size (KByte) 4096
Total PE 13
Free PE 11
Allocated PE 2
PV UUID bon4Ao-vmgC-aP1h-EC9X-w3tN-YXNu-0N2dAw

This is how I am creating a Logical Group out of the above Physical Volume:

Code:
# vgcreate myVG1 -s 4m /dev/sda9
Display:

Code:
# vgdisplay
--- Volume group ---
VG Name myVG1
System ID
Format lvm2
Metadata Areas 1
Metadata Sequence No 5
VG Access read/write
VG Status resizable
MAX LV 0
Cur LV 2
Open LV 1
Max PV 0
Cur PV 1
Act PV 1
VG Size 52.00 MB
PE Size 4.00 MB
Total PE 13
Alloc PE / Size 2 / 8.00 MB
Free PE / Size 11 / 44.00 MB
VG UUID O6ljYC-bflz-EUTd-nf34-8gYe-Fh39-Bh3cOg

But I am unable to create one more Logical Group out of this Physical Volume. Can we accomplish it? Or do we always extend our current Logical Group to utilize the available space of a Physical Volume?