C₁₇×C₁₃⋊C₃×C₅⋊D₅ #45684171

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

Aliases

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

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

128 conjugacy classes of subgroups.

μ_t(G) = 5525

1666 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33150, 53);