C₂²×C₃⋊(C₃⋊(C₃⋊D₉)) #14519379

order	1944
isoclinism	isoclinic class of C₃⋊(C₃⋊(C₃⋊D₉))
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₂³×C₃⁶

Aliases

Fitting	C₂²×C₃³×C₉ ⋊ C₂
derived, Sylow	C₃³×C₉ ⋊ C₂³

	subgroup	G/H
center, hypercenter	C₂²	C₃⋊(C₃⋊(C₃⋊D₉))
commutator, cosocle, hypocenter	C₃³×C₉	C₂³
Frattini	C₃	C₂²×C₃⋊(C₃⋊(C₃⋊D₃))
Fitting	C₂²×C₃³×C₉	C₂
socle	C₂²×C₃⁴	D₃
LCS	G ▷ C₃³×C₉
UCS	C₁ ◁ C₂²

6336 conjugacy classes of subgroups.

μ_t(G) = 972

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3773);