C₅²×C₁₇×D₃₉ #45684189

order	33150
automorphism	?
homology	Abelianization (H₁) = C₂×C₅²×C₁₇ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅²×C₁₇×D₃₉
unambiguous semidirect product	C₃⋊(C₅²×C₁₇×D₁₃)
unambiguous semidirect product	C₁₃⋊(C₅²×D₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₅²×C₁₇	D₃₉
commutator, cosocle, hypocenter	C₃×C₁₃	C₂×C₅²×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₁₃×C₁₇	C₂
LCS	G ▷ C₃×C₁₃
UCS	C₁ ◁ C₅²×C₁₇

128 conjugacy classes of subgroups.

μ_t(G) = 16575

8925 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33150, 71);