Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₅×S₃

Direct product G=N×Q with N=C₂×C₆ and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₂×C₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁(C₅×S₃) = C₁₅×S₄	φ: C₅×S₃/C₅ → S₃ ⊆ Aut C₂×C₆	60	3	(C2xC6):1(C5xS3)	360,138
(C₂×C₆)⋊₂(C₅×S₃) = C₅×C₃⋊S₄	φ: C₅×S₃/C₅ → S₃ ⊆ Aut C₂×C₆	60	6	(C2xC6):2(C5xS3)	360,140
(C₂×C₆)⋊₃(C₅×S₃) = C₁₅×C₃⋊D₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₆	60	2	(C2xC6):3(C5xS3)	360,99
(C₂×C₆)⋊₄(C₅×S₃) = C₅×C₃²⋊₇D₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₆	180		(C2xC6):4(C5xS3)	360,109
(C₂×C₆)⋊₅(C₅×S₃) = C₃⋊S₃×C₂×C₁₀	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₆	180		(C2xC6):5(C5xS3)	360,160

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).(C₅×S₃) = C₅×C₃.S₄	φ: C₅×S₃/C₅ → S₃ ⊆ Aut C₂×C₆	90	6	(C2xC6).(C5xS3)	360,40
(C₂×C₆).₂(C₅×S₃) = C₁₀×Dic₉	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₆	360		(C2xC6).2(C5xS3)	360,23
(C₂×C₆).₃(C₅×S₃) = C₅×C₉⋊D₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₆	180	2	(C2xC6).3(C5xS3)	360,24
(C₂×C₆).₄(C₅×S₃) = D₉×C₂×C₁₀	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₆	180		(C2xC6).4(C5xS3)	360,48
(C₂×C₆).₅(C₅×S₃) = C₁₀×C₃⋊Dic₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₆	360		(C2xC6).5(C5xS3)	360,108
(C₂×C₆).₆(C₅×S₃) = Dic₃×C₃₀	central extension (φ=1)	120		(C2xC6).6(C5xS3)	360,98

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