C₃×#67⋊(C₃⋊C₈) #13158327

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₈ · Schur multiplier (H₂) = C₂³

Aliases

direct product	C₃×#67⋊(C₃⋊C₈)
unambiguous semidirect product	#67⋊(C₃×C₃⋊C₈)

C₃³ ⋊ C₈×D₄

810 conjugacy classes of subgroups.

μ_t(G) = 96

288 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 24390);