The military is investigating social media posts by serving and retired members.
A union representing Defence Forces officers says far right extremism within the army should be rooted out.
The Sunday Times reports the military's investigating social media posts by soldiers and retired troops, for evidence of extremism within the ranks.
Homophobia's also a concern, after videos were shared online, attacking members of the defence forces for wearing rainbow colours with uniform.
Conor King, General Secretary of Raco, says extremism and homophobia have no place in the military
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