Extensions 1→N→G→Q→1 with N=Q₈×C₃² and Q=C₂²

Direct product G=N×Q with N=Q₈×C₃² and Q=C₂²

		d	ρ	Label	ID
Q₈×C₆²		288		Q8xC6^2	288,1020

Semidirect products G=N:Q with N=Q₈×C₃² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃²)⋊₁C₂² = S₃×Q₈⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2):1C2^2	288,586
(Q₈×C₃²)⋊₂C₂² = D₁₂⋊₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2):2C2^2	288,587
(Q₈×C₃²)⋊₃C₂² = D₁₂.₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8-	(Q8xC3^2):3C2^2	288,588
(Q₈×C₃²)⋊₄C₂² = D₁₂.₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2):4C2^2	288,589
(Q₈×C₃²)⋊₅C₂² = C₃×S₃×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2):5C2^2	288,684
(Q₈×C₃²)⋊₆C₂² = C₃×Q₈⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2):6C2^2	288,685
(Q₈×C₃²)⋊₇C₂² = SD₁₆×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	72		(Q8xC3^2):7C2^2	288,770
(Q₈×C₃²)⋊₈C₂² = C₂₄⋊₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	72		(Q8xC3^2):8C2^2	288,771
(Q₈×C₃²)⋊₉C₂² = S₃²×Q₈	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8-	(Q8xC3^2):9C2^2	288,965
(Q₈×C₃²)⋊₁₀C₂² = S₃×Q₈⋊₃S₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2):10C2^2	288,966
(Q₈×C₃²)⋊₁₁C₂² = D₁₂⋊₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8-	(Q8xC3^2):11C2^2	288,967
(Q₈×C₃²)⋊₁₂C₂² = D₁₂⋊₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2):12C2^2	288,968
(Q₈×C₃²)⋊₁₃C₂² = C₆×Q₈⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	96		(Q8xC3^2):13C2^2	288,712
(Q₈×C₃²)⋊₁₄C₂² = C₃×D₄⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2):14C2^2	288,720
(Q₈×C₃²)⋊₁₅C₂² = C₂×C₃²⋊₁₁SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2):15C2^2	288,798
(Q₈×C₃²)⋊₁₆C₂² = C₆².₇₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):16C2^2	288,806
(Q₈×C₃²)⋊₁₇C₂² = S₃×C₆×Q₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	96		(Q8xC3^2):17C2^2	288,995
(Q₈×C₃²)⋊₁₈C₂² = C₆×Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	96		(Q8xC3^2):18C2^2	288,996
(Q₈×C₃²)⋊₁₉C₂² = C₃×S₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2):19C2^2	288,998
(Q₈×C₃²)⋊₂₀C₂² = C₃×D₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2):20C2^2	288,999
(Q₈×C₃²)⋊₂₁C₂² = C₂×Q₈×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2):21C2^2	288,1010
(Q₈×C₃²)⋊₂₂C₂² = C₂×C₁₂.₂₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2):22C2^2	288,1011
(Q₈×C₃²)⋊₂₃C₂² = C₄○D₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):23C2^2	288,1013
(Q₈×C₃²)⋊₂₄C₂² = C₆².₁₅₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):24C2^2	288,1014
(Q₈×C₃²)⋊₂₅C₂² = SD₁₆×C₃×C₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2):25C2^2	288,830
(Q₈×C₃²)⋊₂₆C₂² = C₃²×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):26C2^2	288,833
(Q₈×C₃²)⋊₂₇C₂² = C₄○D₄×C₃×C₆	φ: trivial image	144		(Q8xC3^2):27C2^2	288,1021
(Q₈×C₃²)⋊₂₈C₂² = C₃²×2₊¹⁺⁴	φ: trivial image	72		(Q8xC3^2):28C2^2	288,1022

Non-split extensions G=N.Q with N=Q₈×C₃² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃²).₁C₂² = S₃×C₃⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	96	8-	(Q8xC3^2).1C2^2	288,590
(Q₈×C₃²).₂C₂² = D₁₂.₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	96	8-	(Q8xC3^2).2C2^2	288,591
(Q₈×C₃²).₃C₂² = Dic₆.₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8-	(Q8xC3^2).3C2^2	288,592
(Q₈×C₃²).₄C₂² = Dic₆.₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2).4C2^2	288,593
(Q₈×C₃²).₅C₂² = D₁₂.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	96	8-	(Q8xC3^2).5C2^2	288,594
(Q₈×C₃²).₆C₂² = D₁₂.₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	96	8-	(Q8xC3^2).6C2^2	288,595
(Q₈×C₃²).₇C₂² = Dic₆.₂₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2).7C2^2	288,596
(Q₈×C₃²).₈C₂² = D₁₂.₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2).8C2^2	288,597
(Q₈×C₃²).₉C₂² = D₁₂.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2).9C2^2	288,598
(Q₈×C₃²).₁₀C₂² = D₁₂.₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8-	(Q8xC3^2).10C2^2	288,599
(Q₈×C₃²).₁₁C₂² = C₃×D₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2).11C2^2	288,686
(Q₈×C₃²).₁₂C₂² = C₃×Q₈.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2).12C2^2	288,687
(Q₈×C₃²).₁₃C₂² = C₃×S₃×Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	96	4	(Q8xC3^2).13C2^2	288,688
(Q₈×C₃²).₁₄C₂² = C₃×Q₁₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	96	4	(Q8xC3^2).14C2^2	288,689
(Q₈×C₃²).₁₅C₂² = C₃×D₂₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	96	4	(Q8xC3^2).15C2^2	288,690
(Q₈×C₃²).₁₆C₂² = C₂₄.₃₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	144		(Q8xC3^2).16C2^2	288,772
(Q₈×C₃²).₁₇C₂² = C₂₄.₄₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	144		(Q8xC3^2).17C2^2	288,773
(Q₈×C₃²).₁₈C₂² = Q₁₆×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	144		(Q8xC3^2).18C2^2	288,774
(Q₈×C₃²).₁₉C₂² = C₂₄.₃₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	144		(Q8xC3^2).19C2^2	288,775
(Q₈×C₃²).₂₀C₂² = C₂₄.₂₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	144		(Q8xC3^2).20C2^2	288,776
(Q₈×C₃²).₂₁C₂² = D₁₂.₂₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8-	(Q8xC3^2).21C2^2	288,963
(Q₈×C₃²).₂₂C₂² = Dic₆.₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2).22C2^2	288,964
(Q₈×C₃²).₂₃C₂² = C₃×Q₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2).23C2^2	288,713
(Q₈×C₃²).₂₄C₂² = C₆×C₃⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	96		(Q8xC3^2).24C2^2	288,714
(Q₈×C₃²).₂₅C₂² = C₃×Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2).25C2^2	288,721
(Q₈×C₃²).₂₆C₂² = C₃×Q₈.₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2).26C2^2	288,722
(Q₈×C₃²).₂₇C₂² = C₆².₁₃₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2).27C2^2	288,799
(Q₈×C₃²).₂₈C₂² = C₂×C₃²⋊₇Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	288		(Q8xC3^2).28C2^2	288,800
(Q₈×C₃²).₂₉C₂² = C₆².₇₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2).29C2^2	288,807
(Q₈×C₃²).₃₀C₂² = C₆².₇₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2).30C2^2	288,808
(Q₈×C₃²).₃₁C₂² = C₃×Q₈.₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2).31C2^2	288,997
(Q₈×C₃²).₃₂C₂² = C₃×Q₈○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2).32C2^2	288,1000
(Q₈×C₃²).₃₃C₂² = C₃²⋊₇2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2).33C2^2	288,1012
(Q₈×C₃²).₃₄C₂² = C₃²⋊₉2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2).34C2^2	288,1015
(Q₈×C₃²).₃₅C₂² = Q₁₆×C₃×C₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	288		(Q8xC3^2).35C2^2	288,831
(Q₈×C₃²).₃₆C₂² = C₃²×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2).36C2^2	288,832
(Q₈×C₃²).₃₇C₂² = C₃²×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2).37C2^2	288,834
(Q₈×C₃²).₃₈C₂² = C₃²×2_-¹⁺⁴	φ: trivial image	144		(Q8xC3^2).38C2^2	288,1023

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Extensions 1→N→G→Q→1 with N=Q8×C32 and Q=C22

Extensions 1→N→G→Q→1 with N=Q₈×C₃² and Q=C₂²