C₃×C₁₇²×C₁₃⋊C₃ #46799013

order	33813
automorphism	?
homology	Abelianization (H₁) = C₃²×C₁₇² · Schur multiplier (H₂) = C₃×C₁₇

Aliases

direct product	C₃×C₁₇²×C₁₃⋊C₃
unambiguous semidirect product	C₁₃⋊(C₃²×C₁₇²)
unambiguous semidirect product	(C₃×C₁₃)⋊(C₃×C₁₇²)
unambiguous semidirect product	(C₁₃×C₁₇)⋊(C₃²×C₁₇)
unambiguous semidirect product	(C₃×C₁₃×C₁₇)⋊(C₃×C₁₇)

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

240 conjugacy classes of subgroups.

μ_t(G) = 11271

6069 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33813, 15);