C₂²×C₃²×(C₂×D₃)⋊C₄ #13179164

order	1728
isoclinism	isoclinic class of Dic₆
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃²×C₄ · Schur multiplier (H₂) = C₂⁷×C₃

Aliases

C₂²×C₃²×(C₂×D₃)⋊C₄

Fitting	C₂³×C₃³×C₄ ⋊ C₂
Sylow	C₃³ ⋊ C₂²×C₂²⋊C₄

4988 conjugacy classes of subgroups.

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45227);