By Nastassia Astrasheuskaya

MOSCOW, Oct 22 (Reuters) - Two female members of Russian punk group Pussy Riot convicted of protesting against President Vladimir Putin in a cathedral have been sent to prisons far from Moscow despite requesting to serve out their terms in the capital, a lawyer said on Monday.

Maria Alyokhina, 24, and Nadezhda Tolokonnikova, 22, were convicted of "hooliganism motivated by religious hatred" in August and sentenced to two years in jail, a punishment that many in the West said was too harsh.

Their stunt - bursting into Moscow's main Russian Orthodox Cathedral to urge the Virgin Mary to rid Russia of Putin - infuriated the church and many Russians. But Kremlin critics said their trial was part of a crackdown on dissent orchestrated by Putin, who began a six-year presidential term in May.

The two women lost their appeals on Oct. 10.

The women's lawyers said they had tried to argue that they should be allowed to remain in jail in Moscow, saying it would have permitted them to be closer to their small children. They had also cited health and safety concerns at far-flung penal colonies.

"They have been sent away," one of their lawyers, Mark Feigin, told Reuters, saying he did not know where the women had been dispatched. By law, relatives must be informed once a convict arrives at a prison, but the trip can take days.

One women's prison is about 100 km (60 miles) from Moscow, but most are much further away.

Former collaborators in a street-art group said on Twitter that Tolokonnikova had been sent to Mordovia, about 500 km (300 miles) east of Moscow, and Alyokhina to the Perm region, near the Ural Mountains about 1,100 km (700 miles) east of the capital. That was not confirmed.

The duo had been held in a Moscow detention centre since their arrests in March. Western governments and musicians like Madonna had said their sentences were disproportionate, but Putin voiced support for the sentences, saying the state must protect the feelings of the faithful.

The dominant Russian Orthodox Church has cast their protest as part of a concerted attack against the church and Russian traditions.

A third convicted member of Pussy Riot, Yekaterina Samutsevich, was released on appeal when a court suspended her sentence after her lawyer argued that she had been pulled away from the cathedral's altar before the protest song began. (Reporting by Nastassia Astrasheuskaya; Editing by Steve Gutterman and Andrew Osborn)

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  • Freed feminist punk group Pussy Riot member Yekaterina Samutsevich, left, leaves a court in Moscow, Wednesday, Oct. 10, 2012. (AP Photo)

  • Freed feminist punk group Pussy Riot member Yekaterina Samutsevich stands surrounded by press outside a court in Moscow, Wednesday, Oct. 10, 2012. (AP Photo/Sergey Ponomarev)

  • Freed feminist punk group Pussy Riot band member Yekaterina Samutsevich, left, leaves a court surrounded by bailiffs in Moscow, Wednesday, Oct. 10, 2012. (AP Photo/Yuri Tutov)

  • Freed feminist punk group Pussy Riot member Yekaterina Samutsevich speaks outside a court in Moscow, Wednesday Oct. 10, 2012. (AP Photo/Sergey Ponomarev)

  • Feminist punk group Pussy Riot member Yekaterina Samutsevich stands in a glass cage at a court room in Moscow, Wednesday, Oct. 10, 2012. (AP Photo/Sergey Ponomarev)

  • Feminist punk group Pussy Riot member Nadezhda Tolokonnikova stands in a glass cage at a court room in in Moscow, Wednesday Oct. 10, 2012. (AP Photo/Sergey Ponomarev)

  • A policeman watches band member Nadezhda Tolokonnikova speaking on a TV screen in a hall outside a court room of the Moscow City Court where three members of the punk band Pussy Riot are set to make their case before a Russian appeals court that they should not be imprisoned, in Moscow, Wednesday, Oct. 10, 2012. (AP Photo/Sergey Ponomarev)

  • One of the jailed members of the all-girl punk band 'Pussy Riot,' Yekaterina Samutsevich, sits in a glass-walled cage in a court in Moscow, on October 10, 2012, during a hearing into the appeal of the Pussy Riot bandmates. Samutsevich allowed today to walk out of court after the judge gave her a two-year suspended term, said she was happy to be freed but also sad for her bandmates who would remain in jail. (NATALIA KOLESNIKOVA/AFP/GettyImages)