Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₅×S₃

Direct product G=N×Q with N=C₁₀ and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₅×C₁₀		150		S3xC5xC10	300,46

Semidirect products G=N:Q with N=C₁₀ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₅×S₃) = C₁₀×D₁₅	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₀	60	2	C10:(C5xS3)	300,47

Non-split extensions G=N.Q with N=C₁₀ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₅×S₃) = C₅×Dic₁₅	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₀	60	2	C10.(C5xS3)	300,19
C₁₀.₂(C₅×S₃) = Dic₃×C₂₅	central extension (φ=1)	300	2	C10.2(C5xS3)	300,1
C₁₀.₃(C₅×S₃) = S₃×C₅₀	central extension (φ=1)	150	2	C10.3(C5xS3)	300,10
C₁₀.₄(C₅×S₃) = Dic₃×C₅²	central extension (φ=1)	300		C10.4(C5xS3)	300,18

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Extensions 1→N→G→Q→1 with N=C10 and Q=C5×S3