Extensions 1→N→G→Q→1 with N=C₃²xC₁₂ and Q=C₄

Direct product G=NxQ with N=C₃²xC₁₂ and Q=C₄

		d	ρ	Label	ID
C₃xC₁₂²		432		C3xC12^2	432,512

Semidirect products G=N:Q with N=C₃²xC₁₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²xC₁₂):₁C₄ = C₃³:₉(C₄:C₄)	φ: C₄/C₁ → C₄ ⊆ Aut C₃²xC₁₂	48	4	(C3^2xC12):1C4	432,638
(C₃²xC₁₂):₂C₄ = C₁₂xC₃²:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₃²xC₁₂	48	4	(C3^2xC12):2C4	432,630
(C₃²xC₁₂):₃C₄ = C₄xC₃³:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₃²xC₁₂	48	4	(C3^2xC12):3C4	432,637
(C₃²xC₁₂):₄C₄ = C₃xC₄:(C₃²:C₄)	φ: C₄/C₁ → C₄ ⊆ Aut C₃²xC₁₂	48	4	(C3^2xC12):4C4	432,631
(C₃²xC₁₂):₅C₄ = C₆².₁₄₇D₆	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	432		(C3^2xC12):5C4	432,505
(C₃²xC₁₂):₆C₄ = C₃²xC₄:Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	144		(C3^2xC12):6C4	432,473
(C₃²xC₁₂):₇C₄ = C₃xC₁₂:Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	144		(C3^2xC12):7C4	432,489
(C₃²xC₁₂):₈C₄ = Dic₃xC₃xC₁₂	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	144		(C3^2xC12):8C4	432,471
(C₃²xC₁₂):₉C₄ = C₁₂xC₃:Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	144		(C3^2xC12):9C4	432,487
(C₃²xC₁₂):₁₀C₄ = C₄xC₃³:₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	432		(C3^2xC12):10C4	432,503
(C₃²xC₁₂):₁₁C₄ = C₄:C₄xC₃³	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	432		(C3^2xC12):11C4	432,514

Non-split extensions G=N.Q with N=C₃²xC₁₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²xC₁₂).₁C₄ = C₃³:₄M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₃²xC₁₂	48	4	(C3^2xC12).1C4	432,636
(C₃²xC₁₂).₂C₄ = C₃xC₃²:₂C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₃²xC₁₂	48	4	(C3^2xC12).2C4	432,412
(C₃²xC₁₂).₃C₄ = C₃³:₄C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₃²xC₁₂	48	4	(C3^2xC12).3C4	432,413
(C₃²xC₁₂).₄C₄ = C₃xC₃:S₃:₃C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₃²xC₁₂	48	4	(C3^2xC12).4C4	432,628
(C₃²xC₁₂).₅C₄ = C₃³:₇(C₂xC₈)	φ: C₄/C₁ → C₄ ⊆ Aut C₃²xC₁₂	48	4	(C3^2xC12).5C4	432,635
(C₃²xC₁₂).₆C₄ = C₃xC₃²:M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₃²xC₁₂	48	4	(C3^2xC12).6C4	432,629
(C₃²xC₁₂).₇C₄ = C₃³:₁₈M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	216		(C3^2xC12).7C4	432,502
(C₃²xC₁₂).₈C₄ = C₃²xC₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	72		(C3^2xC12).8C4	432,470
(C₃²xC₁₂).₉C₄ = C₃xC₁₂.₅₈D₆	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	72		(C3^2xC12).9C4	432,486
(C₃²xC₁₂).₁₀C₄ = C₃²xC₃:C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	144		(C3^2xC12).10C4	432,229
(C₃²xC₁₂).₁₁C₄ = C₃xC₂₄.S₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	144		(C3^2xC12).11C4	432,230
(C₃²xC₁₂).₁₂C₄ = C₃³:₇C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	432		(C3^2xC12).12C4	432,231
(C₃²xC₁₂).₁₃C₄ = C₃xC₆xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	144		(C3^2xC12).13C4	432,469
(C₃²xC₁₂).₁₄C₄ = C₆xC₃²:₄C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	144		(C3^2xC12).14C4	432,485
(C₃²xC₁₂).₁₅C₄ = C₂xC₃³:₇C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	432		(C3^2xC12).15C4	432,501
(C₃²xC₁₂).₁₆C₄ = M₄(2)xC₃³	φ: C₄/C₂ → C₂ ⊆ Aut C₃²xC₁₂	216		(C3^2xC12).16C4	432,516

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