C₁₉×C₂₉×D₃₅ #50310737

order	38570
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×C₂₉×D₃₅
unambiguous semidirect product	C₅⋊(D₇×C₁₉×C₂₉)
unambiguous semidirect product	C₇⋊(D₅×C₁₉×C₂₉)

	subgroup	G/H
center, hypercenter	C₁₉×C₂₉	D₃₅
commutator, cosocle, hypocenter	C₅×C₇	C₂×C₁₉×C₂₉
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₉×C₂₉	C₂
LCS	G ▷ C₅×C₇
UCS	C₁ ◁ C₁₉×C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 19285

10469 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38570, 14);