C₂×C₃×D₄×C₃⋊Dic₃ #13179543

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃×C₄ · Schur multiplier (H₂) = C₂⁶×C₃

Aliases

C₂×C₃×D₄×C₃⋊Dic₃

C₃³ ⋊ C₂×C₄×D₄

3500 conjugacy classes of subgroups.

μ_t(G) = 288

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45606);