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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊(C₃×D₅) = A₄×D₁₅	φ: C₃×D₅/C₅ → C₆ ⊆ Aut C₂×C₆	60	6+	(C2xC6):(C3xD5)	360,144
(C₂×C₆)⋊₂(C₃×D₅) = C₃×D₅×A₄	φ: C₃×D₅/D₅ → C₃ ⊆ Aut C₂×C₆	60	6	(C2xC6):2(C3xD5)	360,142
(C₂×C₆)⋊₃(C₃×D₅) = C₃²×C₅⋊D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	180		(C2xC6):3(C3xD5)	360,94
(C₂×C₆)⋊₄(C₃×D₅) = C₃×C₁₅⋊₇D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	60	2	(C2xC6):4(C3xD5)	360,104
(C₂×C₆)⋊₅(C₃×D₅) = C₂×C₆×D₁₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	120		(C2xC6):5(C3xD5)	360,159

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).(C₃×D₅) = D₅×C₃.A₄	φ: C₃×D₅/D₅ → C₃ ⊆ Aut C₂×C₆	90	6	(C2xC6).(C3xD5)	360,42
(C₂×C₆).₂(C₃×D₅) = C₉×C₅⋊D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	180	2	(C2xC6).2(C3xD5)	360,19
(C₂×C₆).₃(C₃×D₅) = C₆×Dic₁₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	120		(C2xC6).3(C3xD5)	360,103
(C₂×C₆).₄(C₃×D₅) = C₁₈×Dic₅	central extension (φ=1)	360		(C2xC6).4(C3xD5)	360,18
(C₂×C₆).₅(C₃×D₅) = D₅×C₂×C₁₈	central extension (φ=1)	180		(C2xC6).5(C3xD5)	360,47
(C₂×C₆).₆(C₃×D₅) = C₃×C₆×Dic₅	central extension (φ=1)	360		(C2xC6).6(C3xD5)	360,93

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