Will i be able to run minecraft with this?

I want to know if i can run minecraft with very good shaders and a 256x256 texture pack with this computer a CybertronPC 5150 Unleashed GM1223H Desktop these are it's specs

System: AMD FX 4100 3.60GHz Quad-Core | AMD 760G Chipset | 8GB DDR3 | 1TB HDD | Genuine Windows 8 64-bit
Graphics: Radeon HD 6670 1GB Video Card | 24X DVD±RW Dual-Layer Drive | Audio: 7.1 Channel | Gigabit LAN | Front Fan Control Panel | Keyboard & Mouse
Expansion Bays/Slots Total(Free): 3(1) Ext. 5.25" | 6(5) Int. 3.5" | 2(2) Int. 2.5" | 1(0) PCI | 1(1) PCI-E x1 | 1(0) PCI-E x16 | 4(3) DIMM 240P
Connectivity: 4x USB 3.0 | 5x USB 2.0 | 1x RJ-45 Network Ethernet 10/100/1000 | 802.11b/g/n Wireless | Audio | 1x DVI | 1x VGA | 1x HDMI
Chassis: In-Win Mana 134 Gaming Mid-Tower Case w/400 Watt Power Supply | 1 Year Parts & Labor Warranty | Free Lifetime Tech Support

Absolutely!