Acronym ...
Name sroh+8{6/2} (?)
Circumradius sqrt[5+2 sqrt(2)]/2 = 1.398966
Vertex figure 2[4,6/2,8]
Coordinates ((1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army sirco
Colonel of regiment sirco

Looks like a compound of a small rhombihexahedron (sroh) and 8 {6/2} fitting in the octahedral set of holes, and indeed vertices and {6/2}-edges both coincide by pairs.


Incidence matrix according to Dynkin symbol

x3/2x4x

.   . . | 48 |  1  1  1 | 1  1 1
--------+----+----------+-------
x   . . |  2 | 24  *  * | 1  1 0
.   x . |  2 |  * 24  * | 1  0 1
.   . x |  2 |  *  * 24 | 0  1 1
--------+----+----------+-------
x3/2x . |  6 |  3  3  0 | 8  * *
x   . x |  4 |  2  0  2 | * 12 *
.   x4x |  8 |  0  4  4 | *  * 6

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