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B	gl2.borel Borel subgroup
C	gl2.cartan Cartan subgroup
E	gl2.exceptional Exceptional subgroup
G	gl2.genus Genus of a subgroup of $\GL_2$ gl2.subgroup_data GL2 subgroup data
I	gl2.index Index of an open subgroup
L	gl2.label Label of a subgroup $\GL_2(\widehat{\Z})$ gl2.level Level of an open subgroup
N	gl2.nonsplit_cartan Non-split Cartan subgroup gl2.normalizer_cartan Normalizer of a Cartan subgroup gl2.normalizer_nonsplit_cartan Normalizer of a non-split Cartan subgroup gl2.normalizer_split_cartan Normalizer of a split Cartan subgroup
O	gl2.open Open subgroup
P	gl2.profinite Profinite group
S	gl2.split_cartan Split Cartan subgroup