C₂×C₁₉×C₅⋊D₈₅ #44568128

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

Aliases

direct product	C₂×C₁₉×C₅⋊D₈₅
unambiguous semidirect product	(C₂×C₅)⋊(C₁₉×D₈₅)
unambiguous semidirect product	(C₂×C₁₇)⋊(C₁₉×C₅⋊D₅)

	subgroup	G/H
center, hypercenter	C₂×C₁₉	C₅⋊D₈₅
commutator, cosocle, hypocenter	C₅²×C₁₇	C₂²×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₅²×C₁₇×C₁₉	C₂
LCS	G ▷ C₅²×C₁₇
UCS	C₁ ◁ C₂×C₁₉

160 conjugacy classes of subgroups.

μ_t(G) = 16150

8132 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32300, 117);