C₅×C₁₉⋊(C₁₁²⋊C₃) #46828446

order	34485
automorphism	?
homology	Abelianization (H₁) = C₃×C₅ · Schur multiplier (H₂) = C₁₁

Aliases

direct product	C₅×C₁₉⋊(C₁₁²⋊C₃)
unambiguous semidirect product	C₁₉⋊(C₅×C₁₁²⋊C₃)
unambiguous semidirect product	(C₅×C₁₉)⋊(C₁₁²⋊C₃)
unambiguous semidirect product	(C₅×C₁₁²)⋊(C₁₉⋊C₃)

	subgroup	G/H
center, hypercenter	C₅	C₁₉⋊(C₁₁²⋊C₃)
commutator, cosocle, hypocenter	C₁₁²×C₁₉	C₃×C₅
Frattini	C₁	G
Fitting, socle	C₅×C₁₁²×C₁₉	C₃
LCS	G ▷ C₁₁²×C₁₉
UCS	C₁ ◁ C₅

32 conjugacy classes of subgroups.

μ_t(G) = 3135

3845 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34485, 17);