C₂×C₁₃×C₁₇×C₅²⋊C₃ #45684173

order	33150
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₁₇ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₂×C₁₃×C₁₇×C₅²⋊C₃
unambiguous semidirect product	(C₂×C₅²)⋊(C₃×C₁₃×C₁₇)
unambiguous semidirect product	(C₂×C₅²×C₁₇)⋊(C₃×C₁₃)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₁₇	C₅²⋊C₃
commutator, cosocle, hypocenter	C₅²	C₂×C₃×C₁₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₂×C₅²×C₁₃×C₁₇	C₃
LCS	G ▷ C₅²
UCS	C₁ ◁ C₂×C₁₃×C₁₇

48 conjugacy classes of subgroups.

μ_t(G) = 6630

4862 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33150, 55);