Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₁₂

Direct product G=NxQ with N=C₃xC₆ and Q=C₁₂

		d	ρ	Label	ID
C₃xC₆xC₁₂		216		C3xC6xC12	216,150

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):C₁₂ = C₂xC₃²:C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃xC₆	72		(C3xC6):C12	216,59
(C₃xC₆):₂C₁₂ = C₆xC₃²:C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₃xC₆	24	4	(C3xC6):2C12	216,168
(C₃xC₆):₃C₁₂ = C₂xC₄xHe₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃xC₆	72		(C3xC6):3C12	216,74
(C₃xC₆):₄C₁₂ = Dic₃xC₃xC₆	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6):4C12	216,138
(C₃xC₆):₅C₁₂ = C₆xC₃:Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6):5C12	216,143

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).C₁₂ = He₃:₃C₈	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃xC₆	72	6	(C3xC6).C12	216,14
(C₃xC₆).₂C₁₂ = C₃xC₃²:₂C₈	φ: C₁₂/C₃ → C₄ ⊆ Aut C₃xC₆	24	4	(C3xC6).2C12	216,117
(C₃xC₆).₃C₁₂ = C₈xHe₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃xC₆	72	3	(C3xC6).3C12	216,19
(C₃xC₆).₄C₁₂ = C₈x3_-¹⁺²	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃xC₆	72	3	(C3xC6).4C12	216,20
(C₃xC₆).₅C₁₂ = C₂xC₄x3_-¹⁺²	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃xC₆	72		(C3xC6).5C12	216,75
(C₃xC₆).₆C₁₂ = C₉xC₃:C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃xC₆	72	2	(C3xC6).6C12	216,13
(C₃xC₆).₇C₁₂ = Dic₃xC₁₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).7C12	216,56
(C₃xC₆).₈C₁₂ = C₃²xC₃:C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).8C12	216,82
(C₃xC₆).₉C₁₂ = C₃xC₃²:₄C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).9C12	216,83

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