C₂×C₃×C₄×D₃×Dic₃ #13174435

order	1728
isoclinism	isoclinic class of D₃²
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

C₂×C₃×C₄×D₃×Dic₃

derived	C₃² ⋊ C₂²×C₃×C₄²
Sylow	C₃³ ⋊ C₂²×C₄²

2498 conjugacy classes of subgroups.

μ_t(G) = 192

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 40498);