C₃×C₁₃×C₁₇×C₅⋊D₅ #45684183

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

Aliases

direct product	C₃×C₁₃×C₁₇×C₅⋊D₅
unambiguous semidirect product	C₅⋊(C₃×D₅×C₁₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₁₇	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂×C₃×C₁₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₁₃×C₁₇	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₃×C₁₃×C₁₇

128 conjugacy classes of subgroups.

μ_t(G) = 16575

9282 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33150, 65);