D₅×C₁₉×D₉₁ #46829178

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

Aliases

direct product	D₅×C₁₉×D₉₁
unambiguous semidirect product	(C₇×D₅)⋊(C₁₉×D₁₃)
unambiguous semidirect product	(D₅×C₁₃)⋊(D₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₉	D₅×D₉₁
commutator, cosocle, hypocenter	C₅×C₇×C₁₃	C₂²×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₃×C₁₉	C₂²
LCS	G ▷ C₅×C₇×C₁₃
UCS	C₁ ◁ C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 8645

3572 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34580, 69);