esser act ▁altern ated ▁construction ▁of ▁the ▁ 1 6 - cell , ▁ ▁= ▁. ▁ ▁The ▁group ▁[ 1 + , 4 ,( 3 , 3 )+ ], ▁( ▁= ▁), ▁order ▁ 9 6 , ▁and ▁same ▁as ▁the ▁ch iral ▁dem it esser actic ▁group ▁[ 3 1 , 1 , 1 ]+ ▁and ▁also ▁is ▁the ▁commut ator ▁subgroup ▁of ▁[ 4 , 3 , 3 ]. ▁ ▁A ▁high - index ▁reflect ive ▁subgroup ▁is ▁the ▁pr ism atic ▁oct ah ed ral ▁symmetry , ▁[ 4 , 3 , 2 ] ▁( ), ▁order ▁ 9 6 , ▁subgroup ▁index ▁ 4 , ▁( D u ▁Val ▁# 4 4 ▁( O / C 2 ; O / C 2 )* , ▁Con way ▁ ± 1 / 2 4 [ O × O ]. 2 ). ▁The ▁trunc ated ▁cub ic ▁pr ism ▁has ▁this ▁symmetry ▁with ▁C ox eter ▁diagram ▁ ▁and ▁the ▁cub ic ▁pr ism ▁is ▁a ▁lower ▁symmetry ▁construction ▁of ▁the ▁t esser act , ▁as ▁. ▁ ▁Its ▁ch iral ▁subgroup ▁is ▁[ 4 , 3 , 2 ]+ , ▁( ), ▁order ▁ 4 8 , ▁( D u ▁Val ▁# 2 6 ▁( O / C 2 ; O / C 2 ), ▁Con way ▁ ± 1 / 2 4 [ O × O ]). ▁ ▁An ▁example ▁is ▁the ▁sn ub ▁cub ic ▁anti pr ism , ▁, ▁although ▁it ▁can ▁not ▁be ▁made ▁uniform .