After completing Computer science engineering, you are eligible for the government sector jobs as well as for the private sector jobs. You can apply in entrance examination of following organizations for the government jobs:

IBPS (for p.o, specialist officer, IT officer)
SSC UDC (for income tax, sales tax, audit officer)
Railways (IT officer, station master)
Indian navy
BSNL
Indian airforce
Indian defence
MTNL
UPSC(for IAS,IPS,IFS)
IES(indian electrical services)
CDS

You can also apply in following companies:
SAIL
GAIL
NTPC
NTPPC
BHEL
BEL
PSPCL
HEC
DVC
HMT
IOCL
ONCG