C₂×C₃×M₁₆×C₃⋊D₃ #13179494

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

Aliases

C₂×C₃×M₁₆×C₃⋊D₃

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

2060 conjugacy classes of subgroups.

μ_t(G) = 288

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

maximal subgroup of	C₂×D₃×M₁₆×C₃⋊D₃, C₂×C₃×C₃⋊D₃×AGL(1,ℤ/8), C₂×C₃⋊D₃×#908
maximal normal subgroup of	C₂×D₃×M₁₆×C₃⋊D₃, C₂×C₃×C₃⋊D₃×AGL(1,ℤ/8), C₂×C₃⋊D₃×#908

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45557);