Extensions 1→N→G→Q→1 with N=D₅×C₂×C₆ and Q=C₃

Direct product G=N×Q with N=D₅×C₂×C₆ and Q=C₃

		d	ρ	Label	ID
D₅×C₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=D₅×C₂×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂×C₆)⋊C₃ = C₃×D₅×A₄	φ: C₃/C₁ → C₃ ⊆ Out D₅×C₂×C₆	60	6	(D5xC2xC6):C3	360,142

Non-split extensions G=N.Q with N=D₅×C₂×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂×C₆).C₃ = D₅×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Out D₅×C₂×C₆	90	6	(D5xC2xC6).C3	360,42
(D₅×C₂×C₆).₂C₃ = D₅×C₂×C₁₈	φ: trivial image	180		(D5xC2xC6).2C3	360,47

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Extensions 1→N→G→Q→1 with N=D5×C2×C6 and Q=C3