Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₃xD₅

Direct product G=NxQ with N=C₂xC₆ and Q=C₃xD₅

		d	ρ	Label	ID
D₅xC₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):(C₃xD₅) = A₄xD₁₅	φ: C₃xD₅/C₅ → C₆ ⊆ Aut C₂xC₆	60	6+	(C2xC6):(C3xD5)	360,144
(C₂xC₆):₂(C₃xD₅) = C₃xD₅xA₄	φ: C₃xD₅/D₅ → C₃ ⊆ Aut C₂xC₆	60	6	(C2xC6):2(C3xD5)	360,142
(C₂xC₆):₃(C₃xD₅) = C₃²xC₅:D₄	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₆	180		(C2xC6):3(C3xD5)	360,94
(C₂xC₆):₄(C₃xD₅) = C₃xC₁₅:₇D₄	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₆	60	2	(C2xC6):4(C3xD5)	360,104
(C₂xC₆):₅(C₃xD₅) = C₂xC₆xD₁₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₆	120		(C2xC6):5(C3xD5)	360,159

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).(C₃xD₅) = D₅xC₃.A₄	φ: C₃xD₅/D₅ → C₃ ⊆ Aut C₂xC₆	90	6	(C2xC6).(C3xD5)	360,42
(C₂xC₆).₂(C₃xD₅) = C₉xC₅:D₄	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₆	180	2	(C2xC6).2(C3xD5)	360,19
(C₂xC₆).₃(C₃xD₅) = C₆xDic₁₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₆	120		(C2xC6).3(C3xD5)	360,103
(C₂xC₆).₄(C₃xD₅) = C₁₈xDic₅	central extension (φ=1)	360		(C2xC6).4(C3xD5)	360,18
(C₂xC₆).₅(C₃xD₅) = D₅xC₂xC₁₈	central extension (φ=1)	180		(C2xC6).5(C3xD5)	360,47
(C₂xC₆).₆(C₃xD₅) = C₃xC₆xDic₅	central extension (φ=1)	360		(C2xC6).6(C3xD5)	360,93

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