Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₀×Dic₃

Direct product G=N×Q with N=C₃ and Q=C₁₀×Dic₃

		d	ρ	Label	ID
Dic₃×C₃₀		120		Dic3xC30	360,98

Semidirect products G=N:Q with N=C₃ and Q=C₁₀×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₀×Dic₃) = C₅×S₃×Dic₃	φ: C₁₀×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₃	120	4	C3:1(C10xDic3)	360,72
C₃⋊₂(C₁₀×Dic₃) = C₁₀×C₃⋊Dic₃	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₃	360		C3:2(C10xDic3)	360,108

Non-split extensions G=N.Q with N=C₃ and Q=C₁₀×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₀×Dic₃) = C₁₀×Dic₉	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₃	360		C3.(C10xDic3)	360,23

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Extensions 1→N→G→Q→1 with N=C3 and Q=C10×Dic3