C₃×C₅²×D₂₂₁ #45684178

order	33150
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅² · Schur multiplier (H₂) = C₅

Aliases

direct product	C₃×C₅²×D₂₂₁
unambiguous semidirect product	C₁₇⋊(C₃×C₅²×D₁₃)

	subgroup	G/H
center, hypercenter	C₃×C₅²	D₂₂₁
commutator, cosocle, hypocenter	C₁₃×C₁₇	C₂×C₃×C₅²
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₁₃×C₁₇	C₂
LCS	G ▷ C₁₃×C₁₇
UCS	C₁ ◁ C₃×C₅²

128 conjugacy classes of subgroups.

μ_t(G) = 16575

8400 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33150, 60);