#117×C₃⋊(C₃⋊D₃) #13179648

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁴×C₃³×C₄

Aliases

Fitting	C₃³×#117 ⋊ C₂
Sylow	C₃³ ⋊ C₂×#117

4620 conjugacy classes of subgroups.

μ_t(G) = 432

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45711);