Extensions 1→N→G→Q→1 with N=C₃×C₁₂ and Q=C₆

Direct product G=N×Q with N=C₃×C₁₂ and Q=C₆

		d	ρ	Label	ID
C₃×C₆×C₁₂		216		C3xC6xC12	216,150

Semidirect products G=N:Q with N=C₃×C₁₂ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂)⋊₁C₆ = He₃⋊₄D₄	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₁₂	36	6+	(C3xC12):1C6	216,51
(C₃×C₁₂)⋊₂C₆ = C₄×C₃²⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₁₂	36	6	(C3xC12):2C6	216,50
(C₃×C₁₂)⋊₃C₆ = D₄×He₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₁₂	36	6	(C3xC12):3C6	216,77
(C₃×C₁₂)⋊₄C₆ = C₂×C₄×He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₁₂	72		(C3xC12):4C6	216,74
(C₃×C₁₂)⋊₅C₆ = C₃×C₁₂⋊S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12):5C6	216,142
(C₃×C₁₂)⋊₆C₆ = C₃²×D₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12):6C6	216,137
(C₃×C₁₂)⋊₇C₆ = S₃×C₃×C₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12):7C6	216,136
(C₃×C₁₂)⋊₈C₆ = C₁₂×C₃⋊S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12):8C6	216,141
(C₃×C₁₂)⋊₉C₆ = D₄×C₃³	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	108		(C3xC12):9C6	216,151

Non-split extensions G=N.Q with N=C₃×C₁₂ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂).₁C₆ = He₃⋊₃Q₈	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₁₂	72	6-	(C3xC12).1C6	216,49
(C₃×C₁₂).₂C₆ = He₃⋊₃C₈	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₁₂	72	6	(C3xC12).2C6	216,14
(C₃×C₁₂).₃C₆ = D₄×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₁₂	36	6	(C3xC12).3C6	216,78
(C₃×C₁₂).₄C₆ = Q₈×He₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₁₂	72	6	(C3xC12).4C6	216,80
(C₃×C₁₂).₅C₆ = Q₈×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₁₂	72	6	(C3xC12).5C6	216,81
(C₃×C₁₂).₆C₆ = C₈×He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₁₂	72	3	(C3xC12).6C6	216,19
(C₃×C₁₂).₇C₆ = C₈×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₁₂	72	3	(C3xC12).7C6	216,20
(C₃×C₁₂).₈C₆ = C₂×C₄×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₁₂	72		(C3xC12).8C6	216,75
(C₃×C₁₂).₉C₆ = C₃×C₃²⋊₄Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).9C6	216,140
(C₃×C₁₂).₁₀C₆ = C₉×Dic₆	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72	2	(C3xC12).10C6	216,44
(C₃×C₁₂).₁₁C₆ = C₉×D₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72	2	(C3xC12).11C6	216,48
(C₃×C₁₂).₁₂C₆ = C₃²×Dic₆	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).12C6	216,135
(C₃×C₁₂).₁₃C₆ = C₉×C₃⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72	2	(C3xC12).13C6	216,13
(C₃×C₁₂).₁₄C₆ = S₃×C₃₆	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72	2	(C3xC12).14C6	216,47
(C₃×C₁₂).₁₅C₆ = C₃²×C₃⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).15C6	216,82
(C₃×C₁₂).₁₆C₆ = C₃×C₃²⋊₄C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).16C6	216,83
(C₃×C₁₂).₁₇C₆ = D₄×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	108		(C3xC12).17C6	216,76
(C₃×C₁₂).₁₈C₆ = Q₈×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	216		(C3xC12).18C6	216,79
(C₃×C₁₂).₁₉C₆ = Q₈×C₃³	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₁₂	216		(C3xC12).19C6	216,152

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