Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅×C₁₀

Direct product G=N×Q with N=C₆ and Q=C₅×C₁₀

		d	ρ	Label	ID
C₁₀×C₃₀		300		C10xC30	300,49

Semidirect products G=N:Q with N=C₆ and Q=C₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₅×C₁₀) = S₃×C₅×C₁₀	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₆	150		C6:(C5xC10)	300,46

Non-split extensions G=N.Q with N=C₆ and Q=C₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₅×C₁₀) = Dic₃×C₅²	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₆	300		C6.(C5xC10)	300,18

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Extensions 1→N→G→Q→1 with N=C6 and Q=C5×C10