C₂×C₇×D₅×C₁₃×C₁₉ #46829193

order	34580
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₇×D₅×C₁₃×C₁₉
unambiguous semidirect product	C₅⋊(C₂²×C₇×C₁₃×C₁₉)
unambiguous semidirect product	(C₂×C₅)⋊(C₂×C₇×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₃×C₁₉	D₅
commutator, cosocle, hypocenter	C₅	C₂²×C₇×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₇×C₁₃×C₁₉	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₂×C₇×C₁₃×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 17290

13832 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34580, 84);