Template:A3 honeycombs

A3 honeycombs
Space group	Fibrifold	Square symmetry	Extended symmetry	Extended diagram	Extended group	Honeycomb diagrams
F43m (216)	1o:2	a1	[3[4]]		${\tilde {A}}_{3}$	(None)
Fm3m (225)	2−:2	d2	<[3[4]]> ↔ [4,31,1]	↔	${\tilde {A}}_{3}$×21 ↔ ${\tilde {B}}_{3}$	1, 2
Fd3m (227)	2+:2	g2	[[3[4]]] or [2+[3[4]]]	↔	${\tilde {A}}_{3}$×22	3
Pm3m (221)	4−:2	d4	<2[3[4]]> ↔ [4,3,4]	↔	${\tilde {A}}_{3}$×41 ↔ ${\tilde {C}}_{3}$	4
I3 (204)	8−o	r8	[4[3[4]]]+ ↔ [[4,3+,4]]	↔	½${\tilde {A}}_{3}$×8 ↔ ½${\tilde {C}}_{3}$×2	(*)
Im3m (229)	8o:2		[4[3[4]]] ↔ [[4,3,4]]		${\tilde {A}}_{3}$×8 ↔ ${\tilde {C}}_{3}$×2	5