C₃×C₁₃⋊(C₁₇²⋊C₃) #46799012

order	33813
automorphism	?
homology	Abelianization (H₁) = C₃² · Schur multiplier (H₂) = C₃×C₁₇

Aliases

direct product	C₃×C₁₃⋊(C₁₇²⋊C₃)
unambiguous semidirect product	(C₃×C₁₃)⋊(C₁₇²⋊C₃)
unambiguous semidirect product	(C₃×C₁₇²)⋊(C₁₃⋊C₃)

	subgroup	G/H
center, hypercenter	C₃	C₁₃⋊(C₁₇²⋊C₃)
commutator, cosocle, hypocenter	C₁₃×C₁₇²	C₃²
Frattini	C₁	G
Fitting, socle	C₃×C₁₃×C₁₇²	C₃
LCS	G ▷ C₁₃×C₁₇²
UCS	C₁ ◁ C₃

48 conjugacy classes of subgroups.

μ_t(G) = 1989

3765 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33813, 14);