See for example [Atlas] for more information about this representation on 24 labels with passport
vertices: 13
faces: 12+1
edges: 24
genus: 0
characteristic polynomial:
x (6 + 118x + 48x2 + 512x3 + 29x4 - 694x5 - 273x6 + 276x7 + 160x8 - 26x9 - 24x10 + x12)
dual's characteristic polynomial:
(-2 + x) x2 (1 + x) (-1 + x + x2)2 (4 + 4x - 6x2 - x3 + x4)
chromatic number: 3
lattice group (using the 'double'):
M(24)