C₅×D₃×C₁₃×D₁₉ #28414887

order	14820
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₅×D₃×C₁₃×D₁₉
unambiguous semidirect product	(D₃×C₁₉)⋊(C₂×C₅×C₁₃)
unambiguous semidirect product	(C₃×D₁₉)⋊(C₂×C₅×C₁₃)
unambiguous semidirect product	D₅₇⋊(C₂×C₅×C₁₃)

	subgroup	G/H
center, hypercenter	C₅×C₁₃	D₃×D₁₉
commutator, cosocle, hypocenter	C₃×C₁₉	C₂²×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₁₉	C₂²
LCS	G ▷ C₃×C₁₉
UCS	C₁ ◁ C₅×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 3705

2145 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14820, 173);