C₂×C₃²×D₃×M₁₆ #13179120

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃²×C₄ · Schur multiplier (H₂) = C₂⁵×C₃

Aliases

C₂×C₃²×D₃×M₁₆

Fitting	C₂×C₃³×M₁₆ ⋊ C₂
Sylow	C₃³ ⋊ C₂²×M₁₆

2060 conjugacy classes of subgroups.

μ_t(G) = 288

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

maximal subgroup of	C₂×D₃×M₁₆×C₃⋊D₃
maximal normal subgroup of	C₂×D₃×M₁₆×C₃⋊D₃

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45183);