C₂×C₁₇×C₃⋊(C₃⋊(C₅⋊D₅)) #29506072

order	15300
isoclinism	isoclinic class of C₃⋊(C₃⋊(C₅⋊D₅))
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₇ · Schur multiplier (H₂) = C₂×C₃×C₅

Aliases

direct product	C₂×C₁₇×C₃⋊(C₃⋊(C₅⋊D₅))
unambiguous semidirect product	(C₂×C₃)⋊(C₁₇×C₃⋊(C₅⋊D₅))
unambiguous semidirect product	(C₂×C₅)⋊(C₁₇×C₃⋊D₁₅)

	subgroup	G/H
center, hypercenter	C₂×C₁₇	C₃⋊(C₃⋊(C₅⋊D₅))
commutator, cosocle, hypocenter	C₃²×C₅²	C₂²×C₁₇
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅²×C₁₇	C₂
LCS	G ▷ C₃²×C₅²
UCS	C₁ ◁ C₂×C₁₇

480 conjugacy classes of subgroups.

μ_t(G) = 7650

3876 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15300, 458);