There are 8 bands named The Government:

1) The Government is also Patrick Bobilin with the help of some friends. The rest of the instrumentation, including but not limited to a small air organ, guitar/bass, saxophone, programming, as well as some custom built and modified electronic instruments, is provided by Patrick.
"i know no time when we were not as now" is their most recent work, released May 2008 as a free download.

2) The Government is a band David Coverdale had before he joined Deep Purple. They released a self-titled EP in 1971.

3) The Government is a bluesrock band from Gothenburg.

4) The Government is also the name of a rock & roll, country, and heavy metal band fronted by Shaun Sparks.

5) The Government is the name of a rock band from Perth, Western Australia, fronted by singer/songwriter and guitarist Jenna Hardie (see The_Government here at Last.fm!).

6) The Government is a Canadian post-punk band who released an EP called How Many Fingers?? in 1981. Check the MutantSounds blog

The Government was a musical group from Toronto active in the late 1970s.
Andrew James Paterson (guitar, vocals)
Robert Stewart (bass, steel drums, vocals)
Edward Boyd (drums)
Jeremiah Chechik (scratch guitar/percussion)
Billy Bryans (drums; replaced Boyd 1981)
Slightly quirky new wave outfit leaning on the art punk side became legendary on the Toronto Queen Street club circuit playing such venues as The Crash And Burn, The Edge, Larry's Hideaway and The Beverley Tavern and art venues such as the Music Gallery. The "Electric Eye" album was one such performance recorded at the Music Gallery as the soundtrack to a full-length video production. The album is a testament to the live incorporated performance of the video's audio track.
The band was part of the early punk scene which, in Toronto, crossed paths with the art world with regularity. The Government was featured in File magazine, published by General Idea. Singer, guitarist and composer of most of their material was Andrew J. Paterson who is also a writer as well as a performance and video artist. The band was an element of his work in this medium, often incorporating music videos and performances by the group for such work as Electric Eye. Other videos by Paterson include Controlled Environments from 1994 and, more recently, the inter-discipline work Mono Logical from 2005.
Other members of The Government include bass player Robert Stewart, who is deceased: Ed Boyd; and his replacement, drummer Billy Bryans, who recorded How Many Fingers? before going on to play with Parachute Club in the early 1980s. Unfortunately, as of today, it is almost impossible to get hold of any recordings by this outfit.


Discography
Singles
1979 Hemingway (Hated Disco Music)/I Only Drive My Car At Night [independent]
1979 Flat Tire/Zippers Of Fire//Get You Sleepin'/Sponge (Modern World) SMW-1
Albums
1979 Electric Eye (original soundtrack) (Voicespondence/Trend)
1980 Guest List (Jackal/Modern World/Trend) WOW-713
1981 How Many Fingers//Plaza Del Pimps/Portrait/Paranoid Downtown Funk Pt.2 (Government) GOV-581

(infos from Wikipedia)


7) the government is a collection of sounds from Belmont, CA

8) the government is a composer/producer of experimental and electroacoustic music from Sydney, Australia.
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Artist biography from last.fm