Extensions 1→N→G→Q→1 with N=D₄xC₃² and Q=C₂²

Direct product G=NxQ with N=D₄xC₃² and Q=C₂²

		d	ρ	Label	ID
D₄xC₆²		144		D4xC6^2	288,1019

Semidirect products G=N:Q with N=D₄xC₃² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₃²):₁C₂² = S₃xD₄:S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8+	(D4xC3^2):1C2^2	288,572
(D₄xC₃²):₂C₂² = Dic₆:₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8+	(D4xC3^2):2C2^2	288,573
(D₄xC₃²):₃C₂² = D₁₂:D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	24	8+	(D4xC3^2):3C2^2	288,574
(D₄xC₃²):₄C₂² = D₁₂.D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8-	(D4xC3^2):4C2^2	288,575
(D₄xC₃²):₅C₂² = C₃xS₃xD₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	4	(D4xC3^2):5C2^2	288,681
(D₄xC₃²):₆C₂² = C₃xD₈:S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	4	(D4xC3^2):6C2^2	288,682
(D₄xC₃²):₇C₂² = D₈xC₃:S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	72		(D4xC3^2):7C2^2	288,767
(D₄xC₃²):₈C₂² = C₂₄:₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	72		(D4xC3^2):8C2^2	288,768
(D₄xC₃²):₉C₂² = S₃²xD₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	24	8+	(D4xC3^2):9C2^2	288,958
(D₄xC₃²):₁₀C₂² = S₃xD₄:₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8-	(D4xC3^2):10C2^2	288,959
(D₄xC₃²):₁₁C₂² = Dic₆:₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	24	8+	(D4xC3^2):11C2^2	288,960
(D₄xC₃²):₁₂C₂² = D₁₂:₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8-	(D4xC3^2):12C2^2	288,961
(D₄xC₃²):₁₃C₂² = D₁₂:₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	24	8+	(D4xC3^2):13C2^2	288,962
(D₄xC₃²):₁₄C₂² = C₆xD₄:S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	48		(D4xC3^2):14C2^2	288,702
(D₄xC₃²):₁₅C₂² = C₃xD₄:D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	48	4	(D4xC3^2):15C2^2	288,720
(D₄xC₃²):₁₆C₂² = C₂xC₃²:₇D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	144		(D4xC3^2):16C2^2	288,788
(D₄xC₃²):₁₇C₂² = C₆².₇₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2):17C2^2	288,806
(D₄xC₃²):₁₈C₂² = S₃xC₆xD₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	48		(D4xC3^2):18C2^2	288,992
(D₄xC₃²):₁₉C₂² = C₆xD₄:₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	48		(D4xC3^2):19C2^2	288,993
(D₄xC₃²):₂₀C₂² = C₃xD₄:₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	24	4	(D4xC3^2):20C2^2	288,994
(D₄xC₃²):₂₁C₂² = C₃xS₃xC₄oD₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	48	4	(D4xC3^2):21C2^2	288,998
(D₄xC₃²):₂₂C₂² = C₃xD₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	48	4	(D4xC3^2):22C2^2	288,999
(D₄xC₃²):₂₃C₂² = C₂xD₄xC₃:S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2):23C2^2	288,1007
(D₄xC₃²):₂₄C₂² = C₂xC₁₂.D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	144		(D4xC3^2):24C2^2	288,1008
(D₄xC₃²):₂₅C₂² = C₃²:₈2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2):25C2^2	288,1009
(D₄xC₃²):₂₆C₂² = C₄oD₄xC₃:S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2):26C2^2	288,1013
(D₄xC₃²):₂₇C₂² = C₆².₁₅₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2):27C2^2	288,1014
(D₄xC₃²):₂₈C₂² = D₈xC₃xC₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	144		(D4xC3^2):28C2^2	288,829
(D₄xC₃²):₂₉C₂² = C₃²xC₈:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2):29C2^2	288,833
(D₄xC₃²):₃₀C₂² = C₄oD₄xC₃xC₆	φ: trivial image	144		(D4xC3^2):30C2^2	288,1021
(D₄xC₃²):₃₁C₂² = C₃²x2₊¹⁺⁴	φ: trivial image	72		(D4xC3^2):31C2^2	288,1022

Non-split extensions G=N.Q with N=D₄xC₃² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₃²).₁C₂² = S₃xD₄.S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8-	(D4xC3^2).1C2^2	288,576
(D₄xC₃²).₂C₂² = Dic₆.₁₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8-	(D4xC3^2).2C2^2	288,577
(D₄xC₃²).₃C₂² = Dic₆:D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	24	8+	(D4xC3^2).3C2^2	288,578
(D₄xC₃²).₄C₂² = Dic₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8-	(D4xC3^2).4C2^2	288,579
(D₄xC₃²).₅C₂² = D₁₂:₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8-	(D4xC3^2).5C2^2	288,580
(D₄xC₃²).₆C₂² = D₁₂.₂₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8-	(D4xC3^2).6C2^2	288,581
(D₄xC₃²).₇C₂² = D₁₂.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8+	(D4xC3^2).7C2^2	288,582
(D₄xC₃²).₈C₂² = Dic₆.₂₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8+	(D4xC3^2).8C2^2	288,583
(D₄xC₃²).₉C₂² = D₁₂.₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8-	(D4xC3^2).9C2^2	288,584
(D₄xC₃²).₁₀C₂² = D₁₂:₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	24	8+	(D4xC3^2).10C2^2	288,585
(D₄xC₃²).₁₁C₂² = C₃xD₈:₃S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	4	(D4xC3^2).11C2^2	288,683
(D₄xC₃²).₁₂C₂² = C₃xS₃xSD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	4	(D4xC3^2).12C2^2	288,684
(D₄xC₃²).₁₃C₂² = C₃xQ₈:₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	4	(D4xC3^2).13C2^2	288,685
(D₄xC₃²).₁₄C₂² = C₃xD₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	4	(D4xC3^2).14C2^2	288,686
(D₄xC₃²).₁₅C₂² = C₃xQ₈.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	4	(D4xC3^2).15C2^2	288,687
(D₄xC₃²).₁₆C₂² = C₂₄.₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	144		(D4xC3^2).16C2^2	288,769
(D₄xC₃²).₁₇C₂² = SD₁₆xC₃:S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	72		(D4xC3^2).17C2^2	288,770
(D₄xC₃²).₁₈C₂² = C₂₄:₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	72		(D4xC3^2).18C2^2	288,771
(D₄xC₃²).₁₉C₂² = C₂₄.₃₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	144		(D4xC3^2).19C2^2	288,772
(D₄xC₃²).₂₀C₂² = C₂₄.₄₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	144		(D4xC3^2).20C2^2	288,773
(D₄xC₃²).₂₁C₂² = Dic₆.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₃²	48	8-	(D4xC3^2).21C2^2	288,957
(D₄xC₃²).₂₂C₂² = C₃xD₁₂:₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	24	4	(D4xC3^2).22C2^2	288,703
(D₄xC₃²).₂₃C₂² = C₆xD₄.S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	48		(D4xC3^2).23C2^2	288,704
(D₄xC₃²).₂₄C₂² = C₃xQ₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	48	4	(D4xC3^2).24C2^2	288,721
(D₄xC₃²).₂₅C₂² = C₃xQ₈.₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	48	4	(D4xC3^2).25C2^2	288,722
(D₄xC₃²).₂₆C₂² = C₆².₁₃₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2).26C2^2	288,789
(D₄xC₃²).₂₇C₂² = C₂xC₃²:₉SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	144		(D4xC3^2).27C2^2	288,790
(D₄xC₃²).₂₈C₂² = C₆².₇₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	144		(D4xC3^2).28C2^2	288,807
(D₄xC₃²).₂₉C₂² = C₆².₇₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	144		(D4xC3^2).29C2^2	288,808
(D₄xC₃²).₃₀C₂² = C₃xQ₈oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	48	4	(D4xC3^2).30C2^2	288,1000
(D₄xC₃²).₃₁C₂² = C₃²:₉2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	144		(D4xC3^2).31C2^2	288,1015
(D₄xC₃²).₃₂C₂² = SD₁₆xC₃xC₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	144		(D4xC3^2).32C2^2	288,830
(D₄xC₃²).₃₃C₂² = C₃²xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	144		(D4xC3^2).33C2^2	288,832
(D₄xC₃²).₃₄C₂² = C₃²xC₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₃²	144		(D4xC3^2).34C2^2	288,834
(D₄xC₃²).₃₅C₂² = C₃²x2_-¹⁺⁴	φ: trivial image	144		(D4xC3^2).35C2^2	288,1023

Extensions 1→N→G→Q→1 with N=D4xC32 and Q=C22

Extensions 1→N→G→Q→1 with N=D₄xC₃² and Q=C₂²