Extensions 1→N→G→Q→1 with N=C₃xC₃:C₈ and Q=C₂²

Direct product G=NxQ with N=C₃xC₃:C₈ and Q=C₂²

		d	ρ	Label	ID
C₂xC₆xC₃:C₈		96		C2xC6xC3:C8	288,691

Semidirect products G=N:Q with N=C₃xC₃:C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃:C₈):₁C₂² = C₂₄:₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4+	(C3xC3:C8):1C2^2	288,442
(C₃xC₃:C₈):₂C₂² = D₂₄:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):2C2^2	288,443
(C₃xC₃:C₈):₃C₂² = D₁₂:₁₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	24	4+	(C3xC3:C8):3C2^2	288,473
(C₃xC₃:C₈):₄C₂² = D₁₂.₂₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):4C2^2	288,478
(C₃xC₃:C₈):₅C₂² = S₃xD₄:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8):5C2^2	288,572
(C₃xC₃:C₈):₆C₂² = D₁₂:D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	24	8+	(C3xC3:C8):6C2^2	288,574
(C₃xC₃:C₈):₇C₂² = D₁₂.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8):7C2^2	288,582
(C₃xC₃:C₈):₈C₂² = D₁₂:₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8):8C2^2	288,587
(C₃xC₃:C₈):₉C₂² = D₁₂.₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8):9C2^2	288,589
(C₃xC₃:C₈):₁₀C₂² = Dic₆:₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8):10C2^2	288,573
(C₃xC₃:C₈):₁₁C₂² = D₁₂.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8-	(C3xC3:C8):11C2^2	288,575
(C₃xC₃:C₈):₁₂C₂² = D₁₂:₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8-	(C3xC3:C8):12C2^2	288,580
(C₃xC₃:C₈):₁₃C₂² = D₁₂:₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	24	8+	(C3xC3:C8):13C2^2	288,585
(C₃xC₃:C₈):₁₄C₂² = S₃xD₄.S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8-	(C3xC3:C8):14C2^2	288,576
(C₃xC₃:C₈):₁₅C₂² = Dic₆:D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	24	8+	(C3xC3:C8):15C2^2	288,578
(C₃xC₃:C₈):₁₆C₂² = S₃xQ₈:₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8):16C2^2	288,586
(C₃xC₃:C₈):₁₇C₂² = D₁₂.₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8-	(C3xC3:C8):17C2^2	288,588
(C₃xC₃:C₈):₁₈C₂² = C₃xD₈:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):18C2^2	288,682
(C₃xC₃:C₈):₁₉C₂² = C₃xQ₈:₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):19C2^2	288,685
(C₃xC₃:C₈):₂₀C₂² = C₃xD₁₂:₆C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	24	4	(C3xC3:C8):20C2^2	288,703
(C₃xC₃:C₈):₂₁C₂² = C₃xD₄:D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):21C2^2	288,720
(C₃xC₃:C₈):₂₂C₂² = S₃xC₈:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):22C2^2	288,438
(C₃xC₃:C₈):₂₃C₂² = C₂₄:D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):23C2^2	288,439
(C₃xC₃:C₈):₂₄C₂² = S₃xC₄.Dic₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):24C2^2	288,461
(C₃xC₃:C₈):₂₅C₂² = C₃:C₈:₂₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	24	4	(C3xC3:C8):25C2^2	288,466
(C₃xC₃:C₈):₂₆C₂² = S₃xD₂₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4+	(C3xC3:C8):26C2^2	288,441
(C₃xC₃:C₈):₂₇C₂² = C₂xC₃:D₂₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48		(C3xC3:C8):27C2^2	288,472
(C₃xC₃:C₈):₂₈C₂² = S₃xC₂₄:C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):28C2^2	288,440
(C₃xC₃:C₈):₂₉C₂² = C₂xD₁₂.S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96		(C3xC3:C8):29C2^2	288,476
(C₃xC₃:C₈):₃₀C₂² = C₂xC₃²:₅SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48		(C3xC3:C8):30C2^2	288,480
(C₃xC₃:C₈):₃₁C₂² = C₃xS₃xD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):31C2^2	288,681
(C₃xC₃:C₈):₃₂C₂² = C₆xD₄:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48		(C3xC3:C8):32C2^2	288,702
(C₃xC₃:C₈):₃₃C₂² = S₃²xC₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):33C2^2	288,437
(C₃xC₃:C₈):₃₄C₂² = C₂xS₃xC₃:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96		(C3xC3:C8):34C2^2	288,460
(C₃xC₃:C₈):₃₅C₂² = C₂xC₁₂.₂₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48		(C3xC3:C8):35C2^2	288,464
(C₃xC₃:C₈):₃₆C₂² = C₂xD₆.Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96		(C3xC3:C8):36C2^2	288,467
(C₃xC₃:C₈):₃₇C₂² = C₂xC₁₂.₃₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48		(C3xC3:C8):37C2^2	288,468
(C₃xC₃:C₈):₃₈C₂² = C₃xS₃xSD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):38C2^2	288,684
(C₃xC₃:C₈):₃₉C₂² = C₆xD₄.S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48		(C3xC3:C8):39C2^2	288,704
(C₃xC₃:C₈):₄₀C₂² = C₆xQ₈:₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96		(C3xC3:C8):40C2^2	288,712
(C₃xC₃:C₈):₄₁C₂² = C₆xC₈:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96		(C3xC3:C8):41C2^2	288,671
(C₃xC₃:C₈):₄₂C₂² = C₃xS₃xM₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):42C2^2	288,677
(C₃xC₃:C₈):₄₃C₂² = C₆xC₄.Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48		(C3xC3:C8):43C2^2	288,692
(C₃xC₃:C₈):₄₄C₂² = S₃xC₂xC₂₄	φ: trivial image	96		(C3xC3:C8):44C2^2	288,670

Non-split extensions G=N.Q with N=C₃xC₃:C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃:C₈).₁C₂² = C₂₄.₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	96	4-	(C3xC3:C8).1C2^2	288,448
(C₃xC₃:C₈).₂C₂² = Dic₁₂:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).2C2^2	288,449
(C₃xC₃:C₈).₃C₂² = D₁₂.₂₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4-	(C3xC3:C8).3C2^2	288,479
(C₃xC₃:C₈).₄C₂² = Dic₆.₂₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).4C2^2	288,481
(C₃xC₃:C₈).₅C₂² = D₁₂.₂₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8-	(C3xC3:C8).5C2^2	288,581
(C₃xC₃:C₈).₆C₂² = S₃xC₃:Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	96	8-	(C3xC3:C8).6C2^2	288,590
(C₃xC₃:C₈).₇C₂² = Dic₆.₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8-	(C3xC3:C8).7C2^2	288,592
(C₃xC₃:C₈).₈C₂² = D₁₂.₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8).8C2^2	288,597
(C₃xC₃:C₈).₉C₂² = D₁₂.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8).9C2^2	288,598
(C₃xC₃:C₈).₁₀C₂² = Dic₆.₁₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8-	(C3xC3:C8).10C2^2	288,577
(C₃xC₃:C₈).₁₁C₂² = Dic₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8-	(C3xC3:C8).11C2^2	288,579
(C₃xC₃:C₈).₁₂C₂² = D₁₂.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	96	8-	(C3xC3:C8).12C2^2	288,594
(C₃xC₃:C₈).₁₃C₂² = D₁₂.₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8-	(C3xC3:C8).13C2^2	288,599
(C₃xC₃:C₈).₁₄C₂² = D₁₂.₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	96	8-	(C3xC3:C8).14C2^2	288,591
(C₃xC₃:C₈).₁₅C₂² = Dic₆.₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8).15C2^2	288,593
(C₃xC₃:C₈).₁₆C₂² = Dic₆.₂₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8).16C2^2	288,596
(C₃xC₃:C₈).₁₇C₂² = Dic₆.₂₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8+	(C3xC3:C8).17C2^2	288,583
(C₃xC₃:C₈).₁₈C₂² = D₁₂.₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	8-	(C3xC3:C8).18C2^2	288,584
(C₃xC₃:C₈).₁₉C₂² = D₁₂.₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	96	8-	(C3xC3:C8).19C2^2	288,595
(C₃xC₃:C₈).₂₀C₂² = C₃xD₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).20C2^2	288,686
(C₃xC₃:C₈).₂₁C₂² = C₃xQ₁₆:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	96	4	(C3xC3:C8).21C2^2	288,689
(C₃xC₃:C₈).₂₂C₂² = C₃xQ₈.₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).22C2^2	288,713
(C₃xC₃:C₈).₂₃C₂² = C₃xQ₈.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).23C2^2	288,722
(C₃xC₃:C₈).₂₄C₂² = C₂₄.₆₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).24C2^2	288,452
(C₃xC₃:C₈).₂₅C₂² = C₂₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).25C2^2	288,453
(C₃xC₃:C₈).₂₆C₂² = D₁₂.Dic₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).26C2^2	288,463
(C₃xC₃:C₈).₂₇C₂² = C₃:C₈.₂₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).27C2^2	288,465
(C₃xC₃:C₈).₂₈C₂² = S₃xDic₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96	4-	(C3xC3:C8).28C2^2	288,447
(C₃xC₃:C₈).₂₉C₂² = D₆.₁D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).29C2^2	288,454
(C₃xC₃:C₈).₃₀C₂² = D₁₂.₂₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).30C2^2	288,477
(C₃xC₃:C₈).₃₁C₂² = C₂xC₃²:₃Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96		(C3xC3:C8).31C2^2	288,483
(C₃xC₃:C₈).₃₂C₂² = D₂₄:₇S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96	4-	(C3xC3:C8).32C2^2	288,455
(C₃xC₃:C₈).₃₃C₂² = D₆.₃D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4+	(C3xC3:C8).33C2^2	288,456
(C₃xC₃:C₈).₃₄C₂² = C₃xQ₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).34C2^2	288,687
(C₃xC₃:C₈).₃₅C₂² = C₃xS₃xQ₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96	4	(C3xC3:C8).35C2^2	288,688
(C₃xC₃:C₈).₃₆C₂² = C₆xC₃:Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96		(C3xC3:C8).36C2^2	288,714
(C₃xC₃:C₈).₃₇C₂² = C₂₄.₆₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).37C2^2	288,451
(C₃xC₃:C₈).₃₈C₂² = D₁₂.₂Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).38C2^2	288,462
(C₃xC₃:C₈).₃₉C₂² = C₃xD₈:₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).39C2^2	288,683
(C₃xC₃:C₈).₄₀C₂² = C₃xD₂₄:C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	96	4	(C3xC3:C8).40C2^2	288,690
(C₃xC₃:C₈).₄₁C₂² = C₃xQ₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).41C2^2	288,721
(C₃xC₃:C₈).₄₂C₂² = C₃xC₈oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	2	(C3xC3:C8).42C2^2	288,672
(C₃xC₃:C₈).₄₃C₂² = C₃xD₁₂.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).43C2^2	288,678
(C₃xC₃:C₈).₄₄C₂² = C₃xD₄.Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).44C2^2	288,719

Extensions 1→N→G→Q→1 with N=C3xC3:C8 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃xC₃:C₈ and Q=C₂²