D₅×C₁₃×D₇×C₁₉ #46829170

order	34580
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₅×C₁₃×D₇×C₁₉
unambiguous semidirect product	(C₇×D₅)⋊(C₂×C₁₃×C₁₉)
unambiguous semidirect product	(C₅×D₇)⋊(C₂×C₁₃×C₁₉)
unambiguous semidirect product	D₃₅⋊(C₂×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₉	D₅×D₇
commutator, cosocle, hypocenter	C₅×C₇	C₂²×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₃×C₁₉	C₂²
LCS	G ▷ C₅×C₇
UCS	C₁ ◁ C₁₃×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 8645

4940 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34580, 61);