Extensions 1→N→G→Q→1 with N=D₄×C₃² and Q=C₂²

Direct product G=N×Q with N=D₄×C₃² and Q=C₂²

		d	ρ	Label	ID
D₄×C₆²		144		D4xC6^2	288,1019

Semidirect products G=N:Q with N=D₄×C₃² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃²)⋊₁C₂² = S₃×D₄⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8+	(D4xC3^2):1C2^2	288,572
(D₄×C₃²)⋊₂C₂² = Dic₆⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8+	(D4xC3^2):2C2^2	288,573
(D₄×C₃²)⋊₃C₂² = D₁₂⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	24	8+	(D4xC3^2):3C2^2	288,574
(D₄×C₃²)⋊₄C₂² = D₁₂.D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8-	(D4xC3^2):4C2^2	288,575
(D₄×C₃²)⋊₅C₂² = C₃×S₃×D₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	4	(D4xC3^2):5C2^2	288,681
(D₄×C₃²)⋊₆C₂² = C₃×D₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	4	(D4xC3^2):6C2^2	288,682
(D₄×C₃²)⋊₇C₂² = D₈×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	72		(D4xC3^2):7C2^2	288,767
(D₄×C₃²)⋊₈C₂² = C₂₄⋊₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	72		(D4xC3^2):8C2^2	288,768
(D₄×C₃²)⋊₉C₂² = S₃²×D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	24	8+	(D4xC3^2):9C2^2	288,958
(D₄×C₃²)⋊₁₀C₂² = S₃×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8-	(D4xC3^2):10C2^2	288,959
(D₄×C₃²)⋊₁₁C₂² = Dic₆⋊₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	24	8+	(D4xC3^2):11C2^2	288,960
(D₄×C₃²)⋊₁₂C₂² = D₁₂⋊₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8-	(D4xC3^2):12C2^2	288,961
(D₄×C₃²)⋊₁₃C₂² = D₁₂⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	24	8+	(D4xC3^2):13C2^2	288,962
(D₄×C₃²)⋊₁₄C₂² = C₆×D₄⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	48		(D4xC3^2):14C2^2	288,702
(D₄×C₃²)⋊₁₅C₂² = C₃×D₄⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	48	4	(D4xC3^2):15C2^2	288,720
(D₄×C₃²)⋊₁₆C₂² = C₂×C₃²⋊₇D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	144		(D4xC3^2):16C2^2	288,788
(D₄×C₃²)⋊₁₇C₂² = C₆².₇₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	72		(D4xC3^2):17C2^2	288,806
(D₄×C₃²)⋊₁₈C₂² = S₃×C₆×D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	48		(D4xC3^2):18C2^2	288,992
(D₄×C₃²)⋊₁₉C₂² = C₆×D₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	48		(D4xC3^2):19C2^2	288,993
(D₄×C₃²)⋊₂₀C₂² = C₃×D₄⋊₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	24	4	(D4xC3^2):20C2^2	288,994
(D₄×C₃²)⋊₂₁C₂² = C₃×S₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	48	4	(D4xC3^2):21C2^2	288,998
(D₄×C₃²)⋊₂₂C₂² = C₃×D₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	48	4	(D4xC3^2):22C2^2	288,999
(D₄×C₃²)⋊₂₃C₂² = C₂×D₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	72		(D4xC3^2):23C2^2	288,1007
(D₄×C₃²)⋊₂₄C₂² = C₂×C₁₂.D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	144		(D4xC3^2):24C2^2	288,1008
(D₄×C₃²)⋊₂₅C₂² = C₃²⋊₈2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	72		(D4xC3^2):25C2^2	288,1009
(D₄×C₃²)⋊₂₆C₂² = C₄○D₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	72		(D4xC3^2):26C2^2	288,1013
(D₄×C₃²)⋊₂₇C₂² = C₆².₁₅₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	72		(D4xC3^2):27C2^2	288,1014
(D₄×C₃²)⋊₂₈C₂² = D₈×C₃×C₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	144		(D4xC3^2):28C2^2	288,829
(D₄×C₃²)⋊₂₉C₂² = C₃²×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	72		(D4xC3^2):29C2^2	288,833
(D₄×C₃²)⋊₃₀C₂² = C₄○D₄×C₃×C₆	φ: trivial image	144		(D4xC3^2):30C2^2	288,1021
(D₄×C₃²)⋊₃₁C₂² = C₃²×2₊¹⁺⁴	φ: trivial image	72		(D4xC3^2):31C2^2	288,1022

Non-split extensions G=N.Q with N=D₄×C₃² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃²).₁C₂² = S₃×D₄.S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8-	(D4xC3^2).1C2^2	288,576
(D₄×C₃²).₂C₂² = Dic₆.₁₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8-	(D4xC3^2).2C2^2	288,577
(D₄×C₃²).₃C₂² = Dic₆⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	24	8+	(D4xC3^2).3C2^2	288,578
(D₄×C₃²).₄C₂² = Dic₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8-	(D4xC3^2).4C2^2	288,579
(D₄×C₃²).₅C₂² = D₁₂⋊₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8-	(D4xC3^2).5C2^2	288,580
(D₄×C₃²).₆C₂² = D₁₂.₂₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8-	(D4xC3^2).6C2^2	288,581
(D₄×C₃²).₇C₂² = D₁₂.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8+	(D4xC3^2).7C2^2	288,582
(D₄×C₃²).₈C₂² = Dic₆.₂₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8+	(D4xC3^2).8C2^2	288,583
(D₄×C₃²).₉C₂² = D₁₂.₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8-	(D4xC3^2).9C2^2	288,584
(D₄×C₃²).₁₀C₂² = D₁₂⋊₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	24	8+	(D4xC3^2).10C2^2	288,585
(D₄×C₃²).₁₁C₂² = C₃×D₈⋊₃S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	4	(D4xC3^2).11C2^2	288,683
(D₄×C₃²).₁₂C₂² = C₃×S₃×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	4	(D4xC3^2).12C2^2	288,684
(D₄×C₃²).₁₃C₂² = C₃×Q₈⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	4	(D4xC3^2).13C2^2	288,685
(D₄×C₃²).₁₄C₂² = C₃×D₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	4	(D4xC3^2).14C2^2	288,686
(D₄×C₃²).₁₅C₂² = C₃×Q₈.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	4	(D4xC3^2).15C2^2	288,687
(D₄×C₃²).₁₆C₂² = C₂₄.₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	144		(D4xC3^2).16C2^2	288,769
(D₄×C₃²).₁₇C₂² = SD₁₆×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	72		(D4xC3^2).17C2^2	288,770
(D₄×C₃²).₁₈C₂² = C₂₄⋊₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	72		(D4xC3^2).18C2^2	288,771
(D₄×C₃²).₁₉C₂² = C₂₄.₃₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	144		(D4xC3^2).19C2^2	288,772
(D₄×C₃²).₂₀C₂² = C₂₄.₄₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	144		(D4xC3^2).20C2^2	288,773
(D₄×C₃²).₂₁C₂² = Dic₆.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₃²	48	8-	(D4xC3^2).21C2^2	288,957
(D₄×C₃²).₂₂C₂² = C₃×D₁₂⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	24	4	(D4xC3^2).22C2^2	288,703
(D₄×C₃²).₂₃C₂² = C₆×D₄.S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	48		(D4xC3^2).23C2^2	288,704
(D₄×C₃²).₂₄C₂² = C₃×Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	48	4	(D4xC3^2).24C2^2	288,721
(D₄×C₃²).₂₅C₂² = C₃×Q₈.₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	48	4	(D4xC3^2).25C2^2	288,722
(D₄×C₃²).₂₆C₂² = C₆².₁₃₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	72		(D4xC3^2).26C2^2	288,789
(D₄×C₃²).₂₇C₂² = C₂×C₃²⋊₉SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	144		(D4xC3^2).27C2^2	288,790
(D₄×C₃²).₂₈C₂² = C₆².₇₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	144		(D4xC3^2).28C2^2	288,807
(D₄×C₃²).₂₉C₂² = C₆².₇₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	144		(D4xC3^2).29C2^2	288,808
(D₄×C₃²).₃₀C₂² = C₃×Q₈○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	48	4	(D4xC3^2).30C2^2	288,1000
(D₄×C₃²).₃₁C₂² = C₃²⋊₉2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	144		(D4xC3^2).31C2^2	288,1015
(D₄×C₃²).₃₂C₂² = SD₁₆×C₃×C₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	144		(D4xC3^2).32C2^2	288,830
(D₄×C₃²).₃₃C₂² = C₃²×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	144		(D4xC3^2).33C2^2	288,832
(D₄×C₃²).₃₄C₂² = C₃²×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₃²	144		(D4xC3^2).34C2^2	288,834
(D₄×C₃²).₃₅C₂² = C₃²×2_-¹⁺⁴	φ: trivial image	144		(D4xC3^2).35C2^2	288,1023

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Extensions 1→N→G→Q→1 with N=D4×C32 and Q=C22

Extensions 1→N→G→Q→1 with N=D₄×C₃² and Q=C₂²