Extensions 1→N→G→Q→1 with N=C₅ and Q=C₆×D₅

Direct product G=N×Q with N=C₅ and Q=C₆×D₅

		d	ρ	Label	ID
D₅×C₃₀		60	2	D5xC30	300,44

Semidirect products G=N:Q with N=C₅ and Q=C₆×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₆×D₅) = C₃×D₅²	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₅	30	4	C5:1(C6xD5)	300,36
C₅⋊₂(C₆×D₅) = C₆×C₅⋊D₅	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₅	150		C5:2(C6xD5)	300,45

Non-split extensions G=N.Q with N=C₅ and Q=C₆×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₆×D₅) = C₆×D₂₅	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₅	150	2	C5.(C6xD5)	300,9

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Extensions 1→N→G→Q→1 with N=C5 and Q=C6×D5