Extensions 1→N→G→Q→1 with N=C₄xA₄ and Q=C₂²

Direct product G=NxQ with N=C₄xA₄ and Q=C₂²

		d	ρ	Label	ID
A₄xC₂²xC₄		48		A4xC2^2xC4	192,1496

Semidirect products G=N:Q with N=C₄xA₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xA₄):C₂² = D₄xS₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄xA₄	12	6+	(C4xA4):C2^2	192,1472
(C₄xA₄):₂C₂² = C₂xC₄:S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24		(C4xA4):2C2^2	192,1470
(C₄xA₄):₃C₂² = C₂xC₄xS₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24		(C4xA4):3C2^2	192,1469
(C₄xA₄):₄C₂² = C₂xD₄xA₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24		(C4xA4):4C2^2	192,1497

Non-split extensions G=N.Q with N=C₄xA₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xA₄).₁C₂² = A₄:SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄xA₄	24	6	(C4xA4).1C2^2	192,973
(C₄xA₄).₂C₂² = D₄:S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄xA₄	24	6+	(C4xA4).2C2^2	192,974
(C₄xA₄).₃C₂² = A₄:₂Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄xA₄	48	6-	(C4xA4).3C2^2	192,975
(C₄xA₄).₄C₂² = Q₈:₃S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄xA₄	24	6	(C4xA4).4C2^2	192,976
(C₄xA₄).₅C₂² = D₄:₂S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄xA₄	24	6	(C4xA4).5C2^2	192,1473
(C₄xA₄).₆C₂² = Q₈xS₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄xA₄	24	6-	(C4xA4).6C2^2	192,1477
(C₄xA₄).₇C₂² = Q₈:₄S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄xA₄	24	6	(C4xA4).7C2^2	192,1478
(C₄xA₄).₈C₂² = A₄:Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	48	6-	(C4xA4).8C2^2	192,957
(C₄xA₄).₉C₂² = C₈:₂S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24	6	(C4xA4).9C2^2	192,960
(C₄xA₄).₁₀C₂² = A₄:D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24	6+	(C4xA4).10C2^2	192,961
(C₄xA₄).₁₁C₂² = C₂xA₄:Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	48		(C4xA4).11C2^2	192,1468
(C₄xA₄).₁₂C₂² = C₈xS₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24	3	(C4xA4).12C2^2	192,958
(C₄xA₄).₁₃C₂² = C₈:S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24	6	(C4xA4).13C2^2	192,959
(C₄xA₄).₁₄C₂² = C₂xA₄:C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	48		(C4xA4).14C2^2	192,967
(C₄xA₄).₁₅C₂² = A₄:M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24	6	(C4xA4).15C2^2	192,968
(C₄xA₄).₁₆C₂² = C₂⁴.₁₀D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24	6	(C4xA4).16C2^2	192,1471
(C₄xA₄).₁₇C₂² = A₄xD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24	6+	(C4xA4).17C2^2	192,1014
(C₄xA₄).₁₈C₂² = A₄xSD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24	6	(C4xA4).18C2^2	192,1015
(C₄xA₄).₁₉C₂² = A₄xQ₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	48	6-	(C4xA4).19C2^2	192,1016
(C₄xA₄).₂₀C₂² = C₂xQ₈xA₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	48		(C4xA4).20C2^2	192,1499
(C₄xA₄).₂₁C₂² = A₄xC₄oD₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xA₄	24	6	(C4xA4).21C2^2	192,1501
(C₄xA₄).₂₂C₂² = A₄xC₂xC₈	φ: trivial image	48		(C4xA4).22C2^2	192,1010
(C₄xA₄).₂₃C₂² = A₄xM₄(2)	φ: trivial image	24	6	(C4xA4).23C2^2	192,1011

Extensions 1→N→G→Q→1 with N=C4xA4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄xA₄ and Q=C₂²