Extensions 1→N→G→Q→1 with N=C₃xC₃²:₄Q₈ and Q=C₂

Direct product G=NxQ with N=C₃xC₃²:₄Q₈ and Q=C₂

		d	ρ	Label	ID
C₆xC₃²:₄Q₈		144		C6xC3^2:4Q8	432,710

Semidirect products G=N:Q with N=C₃xC₃²:₄Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃²:₄Q₈):₁C₂ = C₃xD₁₂.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	48	4	(C3xC3^2:4Q8):1C2	432,421
(C₃xC₃²:₄Q₈):₂C₂ = C₃³:₁₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	144		(C3xC3^2:4Q8):2C2	432,439
(C₃xC₃²:₄Q₈):₃C₂ = C₃³:₁₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	72		(C3xC3^2:4Q8):3C2	432,444
(C₃xC₃²:₄Q₈):₄C₂ = C₃³:₁₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	48	4	(C3xC3^2:4Q8):4C2	432,458
(C₃xC₃²:₄Q₈):₅C₂ = C₃xC₃²:₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	72		(C3xC3^2:4Q8):5C2	432,492
(C₃xC₃²:₄Q₈):₆C₂ = C₃xS₃xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	48	4	(C3xC3^2:4Q8):6C2	432,642
(C₃xC₃²:₄Q₈):₇C₂ = C₃xD₁₂:₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	48	4	(C3xC3^2:4Q8):7C2	432,643
(C₃xC₃²:₄Q₈):₈C₂ = S₃xC₃²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	144		(C3xC3^2:4Q8):8C2	432,660
(C₃xC₃²:₄Q₈):₉C₂ = D₁₂:(C₃:S₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	72		(C3xC3^2:4Q8):9C2	432,662
(C₃xC₃²:₄Q₈):₁₀C₂ = C₃²:₉(S₃xQ₈)	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	72		(C3xC3^2:4Q8):10C2	432,666
(C₃xC₃²:₄Q₈):₁₁C₂ = C₁₂.₅₈S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	72		(C3xC3^2:4Q8):11C2	432,669
(C₃xC₃²:₄Q₈):₁₂C₂ = C₃:S₃:₄Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	48	4	(C3xC3^2:4Q8):12C2	432,687
(C₃xC₃²:₄Q₈):₁₃C₂ = C₁₂:S₃:₁₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	48	4	(C3xC3^2:4Q8):13C2	432,688
(C₃xC₃²:₄Q₈):₁₄C₂ = C₃xC₁₂.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	72		(C3xC3^2:4Q8):14C2	432,715
(C₃xC₃²:₄Q₈):₁₅C₂ = C₃xQ₈xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	144		(C3xC3^2:4Q8):15C2	432,716
(C₃xC₃²:₄Q₈):₁₆C₂ = C₃xC₂₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	144		(C3xC3^2:4Q8):16C2	432,482
(C₃xC₃²:₄Q₈):₁₇C₂ = C₃xC₁₂.₅₉D₆	φ: trivial image	72		(C3xC3^2:4Q8):17C2	432,713

Non-split extensions G=N.Q with N=C₃xC₃²:₄Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃²:₄Q₈).₁C₂ = C₃xC₃²:₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	48	4	(C3xC3^2:4Q8).1C2	432,424
(C₃xC₃²:₄Q₈).₂C₂ = C₃³:₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	144		(C3xC3^2:4Q8).2C2	432,445
(C₃xC₃²:₄Q₈).₃C₂ = C₃³:₈Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	144		(C3xC3^2:4Q8).3C2	432,447
(C₃xC₃²:₄Q₈).₄C₂ = C₃³:₉Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	48	4	(C3xC3^2:4Q8).4C2	432,459
(C₃xC₃²:₄Q₈).₅C₂ = C₃xC₃²:₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	144		(C3xC3^2:4Q8).5C2	432,494
(C₃xC₃²:₄Q₈).₆C₂ = C₃xC₃²:₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₄Q₈	144		(C3xC3^2:4Q8).6C2	432,484

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