3 ], ▁and ▁he cat on icos ach or ic ▁group ▁or ▁d ode ca cont ach or ic ▁group ▁from ▁the ▁ 1 2 0 - cell , ▁. ▁ ▁The ▁ch iral ▁hex ac os ich or ic ▁group ▁is ▁[ 5 , 3 , 3 ]+ , ▁( ), ▁order ▁ 7 2 0 0 , ▁( D u ▁Val ▁# 3 0 ▁( I / I ; I / I ), ▁Con way ▁ ± [ I × I ]). ▁This ▁group ▁represents ▁the ▁construction ▁of ▁the ▁sn ub ▁ 1 2 0 - cell , ▁, ▁although ▁it ▁can ▁not ▁be ▁made ▁uniform . ▁ ▁A ▁high - index ▁reflect ive ▁subgroup ▁is ▁the ▁pr ism atic ▁ icos ah ed ral ▁symmetry , ▁[ 5 , 3 , 2 ], ▁( ), ▁order ▁ 2 4 0 , ▁subgroup ▁index ▁ 6 0 , ▁( D u ▁Val ▁# 4 9 ▁( I / C 2 ; I / C 2 )* , ▁Con way ▁ ± 1 / 6 0 [ I x I ]. 2 ). ▁ ▁Its ▁ch iral ▁subgroup ▁is ▁[ 5 , 3 , 2 ]+ , ▁( ), ▁order ▁ 1 2 0 , ▁( D u ▁Val ▁# 3 1 ▁( I / C 2 ; I / C 2 ), ▁Con way ▁ ± 1 / 6 0 [ I x I ]). ▁This ▁group ▁represents ▁the ▁construction ▁of ▁the ▁sn ub ▁d ode c ah ed ral ▁anti