Group :a number of persons or things ranged or considered together as being related in some way.
Faction :
A group of persons forming a cohesive, usually contentious minority within a larger group.
A group in a religion is so , because it is in line with the religions thinking . For example a Christian Church might have a group meeting of Christan housewives on a Saturday , who sing hymns and do knitting . It stops being a "group" when that collection of people do not conform with the religions ideology or direction .So a group of Christian housewives meeting in a Church on a Saturday , to sing hymns and do some knitting , is not against the religion , BUT if those Christian housewives wanted to take over the running of the Church , then it can be termed as a "Faction" within the Church .
Ginger Group
an example of the tyranny of a faction imposing its will on the rest of the nation
faction clique
A political faction is a group of people with a common political goal. This could be a group within a political party, or even a union.
A splinter group is a faction that separates from a larger organization due to disagreements or conflicts over beliefs, principles, or methods.
A faction is a group to which people belong. It has several meanings so I would go onto dictionary.com if I were you.
Religion
faction
He refers to 'faction' as a political group of people.
According to Merriam-Webster (m-w.com), faction means "a party or group that is often contentious or self-seeking." A synonym might be splinter group.
A faction is a group to which people belong and I am not sure that 1.55 counts as people or that it belongs to any faction. 1.55 as a fraction, on the other hand, is 155/100 = 31/20
Mohicans