C₅²×D₃×C₁₃×C₁₇ #45684187

order	33150
automorphism	?
homology	Abelianization (H₁) = C₂×C₅²×C₁₃×C₁₇ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅²×D₃×C₁₃×C₁₇
unambiguous semidirect product	C₃⋊(C₂×C₅²×C₁₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₅²×C₁₃×C₁₇	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₅²×C₁₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₁₃×C₁₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₅²×C₁₃×C₁₇

128 conjugacy classes of subgroups.

μ_t(G) = 16575

16575 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33150, 69);