Extensions 1→N→G→Q→1 with N=C₂xA₄ and Q=C₂³

Direct product G=NxQ with N=C₂xA₄ and Q=C₂³

		d	ρ	Label	ID
A₄xC₂⁴		48		A4xC2^4	192,1539

Semidirect products G=N:Q with N=C₂xA₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xA₄):C₂³ = C₂³xS₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	24		(C2xA4):C2^3	192,1537

Non-split extensions G=N.Q with N=C₂xA₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xA₄).₁C₂³ = C₂xA₄:Q₈	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	48		(C2xA4).1C2^3	192,1468
(C₂xA₄).₂C₂³ = C₂xC₄xS₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	24		(C2xA4).2C2^3	192,1469
(C₂xA₄).₃C₂³ = C₂xC₄:S₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	24		(C2xA4).3C2^3	192,1470
(C₂xA₄).₄C₂³ = C₂⁴.₁₀D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	24	6	(C2xA4).4C2^3	192,1471
(C₂xA₄).₅C₂³ = D₄xS₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	12	6+	(C2xA4).5C2^3	192,1472
(C₂xA₄).₆C₂³ = D₄:₂S₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	24	6	(C2xA4).6C2^3	192,1473
(C₂xA₄).₇C₂³ = Q₈xS₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	24	6-	(C2xA4).7C2^3	192,1477
(C₂xA₄).₈C₂³ = Q₈:₄S₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	24	6	(C2xA4).8C2^3	192,1478
(C₂xA₄).₉C₂³ = C₂²xA₄:C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	48		(C2xA4).9C2^3	192,1487
(C₂xA₄).₁₀C₂³ = C₂xA₄:D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₂xA₄	24		(C2xA4).10C2^3	192,1488
(C₂xA₄).₁₁C₂³ = A₄xC₂²xC₄	φ: trivial image	48		(C2xA4).11C2^3	192,1496
(C₂xA₄).₁₂C₂³ = C₂xD₄xA₄	φ: trivial image	24		(C2xA4).12C2^3	192,1497
(C₂xA₄).₁₃C₂³ = C₂xQ₈xA₄	φ: trivial image	48		(C2xA4).13C2^3	192,1499
(C₂xA₄).₁₄C₂³ = A₄xC₄oD₄	φ: trivial image	24	6	(C2xA4).14C2^3	192,1501

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