C₂×C₁₇×C₁₉×C₅⋊D₅ #44568126

order	32300
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₇×C₁₉ · Schur multiplier (H₂) = C₂×C₅

Aliases

direct product	C₂×C₁₇×C₁₉×C₅⋊D₅
unambiguous semidirect product	(C₂×C₅)⋊(D₅×C₁₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₇×C₁₉	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂²×C₁₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₅²×C₁₇×C₁₉	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₂×C₁₇×C₁₉

160 conjugacy classes of subgroups.

μ_t(G) = 16150

9044 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32300, 115);