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→Statement of the classification theorem: add word "or" |
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** the [[groups of Lie type]],
** the [[commutator subgroup|derived subgroup]] of the groups of Lie Type, such as the [[Tits group]]<ref group="note" name="tits">The infinite family of [[Ree group#Ree groups of type 2F4|Ree groups of type {{math|<sup>2</sup>F<sub>4</sub>(2<sup>2''n''+1</sup>)}}]] contains only finite groups of Lie type. They are simple for {{math|''n''≥1}}; for {{math|''n''{{=}}0}}, the group {{math|<sup>2</sup>F<sub>4</sub>(2)}} is not simple, but it contains the simple [[commutator subgroup]] {{math|<sup>2</sup>F<sub>4</sub>(2)′}}. So, if the infinite family of commutator groups of type {{math|<sup>2</sup>F<sub>4</sub>(2<sup>2''n''+1</sup>)′}} is considered a systematic infinite family (all of Lie type except for {{math|''n''{{=}}0}}), the Tits group {{math|T :{{=}} <sup>2</sup>F<sub>4</sub>(2)′}} (as a member of this infinite family) is not sporadic.</ref>
* or one of 26 groups called the "[[sporadic groups]]"
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