+ ]], ▁order ▁ 3 2 . ▁ ▁The ▁rot ore f lection ▁sub groups ▁are ▁[ 4 + , 2 + , 4 ], ▁[ 4 , 2 + , 4 + ], ▁[ 4 + ,( 2 , 4 )+ ], ▁[( 4 , 2 )+ , 4 + ], ▁( , ▁, ▁, ▁) ▁order ▁ 1 6 . ▁ ▁The ▁triple ▁dimin ished ▁subgroup ▁is ▁[ 4 + , 2 + , 4 + ], ▁( ), ▁order ▁ 8 . ▁ ▁Half ▁sub groups ▁are ▁[ 1 + , 4 , 2 , 4 ] =[ 2 , 2 , 4 ], ▁( ), ▁[ 4 , 2 , 4 , 1 + ] =[ 4 , 2 , 2 ], ▁( ), ▁order ▁ 3 2 . ▁ ▁[ 1 + , 4 , 2 , 4 ]+ =[ 2 , 2 , 4 ]+ , ▁( ), ▁[ 4 , 2 , 4 , 1 + ]+ =[ 4 , 2 , 2 ]+ , ▁( ), ▁order ▁ 1 6 . ▁ ▁Half ▁again ▁subgroup ▁is ▁[ 1 + , 4 , 2 , 4 , 1 + ] =[ 2 , 2 , 2 ], ▁( ), ▁order ▁ 1 6 . ▁ ▁[ 1 + , 4 , 2 , 4 , 1 + ]+ ▁= ▁[ 1 + , 4 , 2 + , 4 , 1 + ] ▁= ▁[ 2 , 2 , 2 ]+ , ▁() ▁order ▁ 8