The invariant Hermitian forms for the absolutely irreducible maximal finite subgroups of GL(n,D) are given as magma readable input in the file
dimnD
where D is abbreviated as follows:
First the center of D is given as a real subfield of a cyclotomic field.
Here we use the following abbreviations:
wd denotes the field generated by the square root of d
td denotes the maximal real subfield of the d-th cyclotomic field
od denotes a real subfield of the d-th cyclotomic field of degree 3 over the rationals
ed denotes a real subfield of the d-th cyclotomic field of degree 4 over the rationals
sd denotes a real subfield of the d-th cyclotomic field of degree 5 over the rationals
Then the rational places contained in the places of Z(D) on which D ramifies are indicated, beginning with u which denotes the infinite place to indicate that D is totally definite.

dim1

dim2u2
dim2u3
dim2u5

dim2w2u
dim2w2u23
dim2w3u
dim2w5u
dim2w5u25
dim2w5u35
dim2w6u

dim2t7u2
dim2t7u3
dim2t7u7
dim2t9u2
dim2t9u3
dim2o13u13

dim2t15u
dim2t16u
dim2t20u
dim2t24u
dim2w2w5u
dim2w2w5u25
dim2w3w5u
dim2e17u
dim2e40u
dim2e48u
dim2t11u11
dim2t11u2
dim2t11u3
dim2s25u5

dim3u2
dim3u3
dim3u7
dim3w2u
dim3w3u
dim3w5u
dim3w7u
dim3w13u
dim3w21u
dim3t7u7
dim3t9u3
dim3o19u19

dim4u2
dim4u3
dim4u5
dim4u7
dim4w2u
dim4w2u23
dim4w2u25
dim4w3u
dim4w5u
dim4w5u23
dim4w5u25
dim4w5u35
dim4w6u
dim4w7u
dim4w10u
dim4w15u
dim4w17u
dim4w21u

dim5u2
dim5u3
dim5u11
dim5w2u
dim5w3u
dim5w5u
dim5w11u
dim5w33u

dim6u2
dim6u3
dim6u5
dim6u7
dim6u11
dim6u13

dim7u2
dim7u3

dim8u2
dim8u3
dim8u5
dim8u7
dim8u17
dim8u235

dim9u2
dim9u3
dim9u7
dim9u19

dim10u2
dim10u3
dim10u5
dim10u7
dim10u11
dim10u19