Extensions 1→N→G→Q→1 with N=C₄×A₄ and Q=C₂²

Direct product G=N×Q with N=C₄×A₄ and Q=C₂²

		d	ρ	Label	ID
A₄×C₂²×C₄		48		A4xC2^2xC4	192,1496

Semidirect products G=N:Q with N=C₄×A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄)⋊C₂² = D₄×S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×A₄	12	6+	(C4xA4):C2^2	192,1472
(C₄×A₄)⋊₂C₂² = C₂×C₄⋊S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24		(C4xA4):2C2^2	192,1470
(C₄×A₄)⋊₃C₂² = C₂×C₄×S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24		(C4xA4):3C2^2	192,1469
(C₄×A₄)⋊₄C₂² = C₂×D₄×A₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24		(C4xA4):4C2^2	192,1497

Non-split extensions G=N.Q with N=C₄×A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄).₁C₂² = A₄⋊SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×A₄	24	6	(C4xA4).1C2^2	192,973
(C₄×A₄).₂C₂² = D₄⋊S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×A₄	24	6+	(C4xA4).2C2^2	192,974
(C₄×A₄).₃C₂² = A₄⋊₂Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×A₄	48	6-	(C4xA4).3C2^2	192,975
(C₄×A₄).₄C₂² = Q₈⋊₃S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×A₄	24	6	(C4xA4).4C2^2	192,976
(C₄×A₄).₅C₂² = D₄⋊₂S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×A₄	24	6	(C4xA4).5C2^2	192,1473
(C₄×A₄).₆C₂² = Q₈×S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×A₄	24	6-	(C4xA4).6C2^2	192,1477
(C₄×A₄).₇C₂² = Q₈⋊₄S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×A₄	24	6	(C4xA4).7C2^2	192,1478
(C₄×A₄).₈C₂² = A₄⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	48	6-	(C4xA4).8C2^2	192,957
(C₄×A₄).₉C₂² = C₈⋊₂S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24	6	(C4xA4).9C2^2	192,960
(C₄×A₄).₁₀C₂² = A₄⋊D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24	6+	(C4xA4).10C2^2	192,961
(C₄×A₄).₁₁C₂² = C₂×A₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	48		(C4xA4).11C2^2	192,1468
(C₄×A₄).₁₂C₂² = C₈×S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24	3	(C4xA4).12C2^2	192,958
(C₄×A₄).₁₃C₂² = C₈⋊S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24	6	(C4xA4).13C2^2	192,959
(C₄×A₄).₁₄C₂² = C₂×A₄⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	48		(C4xA4).14C2^2	192,967
(C₄×A₄).₁₅C₂² = A₄⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24	6	(C4xA4).15C2^2	192,968
(C₄×A₄).₁₆C₂² = C₂⁴.₁₀D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24	6	(C4xA4).16C2^2	192,1471
(C₄×A₄).₁₇C₂² = A₄×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24	6+	(C4xA4).17C2^2	192,1014
(C₄×A₄).₁₈C₂² = A₄×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24	6	(C4xA4).18C2^2	192,1015
(C₄×A₄).₁₉C₂² = A₄×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	48	6-	(C4xA4).19C2^2	192,1016
(C₄×A₄).₂₀C₂² = C₂×Q₈×A₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	48		(C4xA4).20C2^2	192,1499
(C₄×A₄).₂₁C₂² = A₄×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×A₄	24	6	(C4xA4).21C2^2	192,1501
(C₄×A₄).₂₂C₂² = A₄×C₂×C₈	φ: trivial image	48		(C4xA4).22C2^2	192,1010
(C₄×A₄).₂₃C₂² = A₄×M₄(2)	φ: trivial image	24	6	(C4xA4).23C2^2	192,1011

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Extensions 1→N→G→Q→1 with N=C4×A4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄×A₄ and Q=C₂²