C₂×C₅×C₇×C₁₃×D₁₉ #46829186

order	34580
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₇×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₅×C₇×C₁₃×D₁₉
unambiguous semidirect product	C₁₉⋊(C₂²×C₅×C₇×C₁₃)
unambiguous semidirect product	(C₂×C₁₉)⋊(C₂×C₅×C₇×C₁₃)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₇×C₁₃	D₁₉
commutator, cosocle, hypocenter	C₁₉	C₂²×C₅×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂×C₅×C₇×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 17290

10010 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34580, 77);