Extensions 1→N→G→Q→1 with N=C₂xA₄ and Q=D₄

Direct product G=NxQ with N=C₂xA₄ and Q=D₄

		d	ρ	Label	ID
C₂xD₄xA₄		24		C2xD4xA4	192,1497

Semidirect products G=N:Q with N=C₂xA₄ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xA₄):₁D₄ = C₂xC₄:S₄	φ: D₄/C₄ → C₂ ⊆ Out C₂xA₄	24		(C2xA4):1D4	192,1470
(C₂xA₄):₂D₄ = C₂xA₄:D₄	φ: D₄/C₂² → C₂ ⊆ Out C₂xA₄	24		(C2xA4):2D4	192,1488

Non-split extensions G=N.Q with N=C₂xA₄ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xA₄).₁D₄ = A₄:Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₂xA₄	48	6-	(C2xA4).1D4	192,957
(C₂xA₄).₂D₄ = C₈:₂S₄	φ: D₄/C₄ → C₂ ⊆ Out C₂xA₄	24	6	(C2xA4).2D4	192,960
(C₂xA₄).₃D₄ = A₄:D₈	φ: D₄/C₄ → C₂ ⊆ Out C₂xA₄	24	6+	(C2xA4).3D4	192,961
(C₂xA₄).₄D₄ = C₂⁴.₄D₆	φ: D₄/C₄ → C₂ ⊆ Out C₂xA₄	48		(C2xA4).4D4	192,971
(C₂xA₄).₅D₄ = C₂⁴.₃D₆	φ: D₄/C₂² → C₂ ⊆ Out C₂xA₄	48		(C2xA4).5D4	192,970
(C₂xA₄).₆D₄ = C₂⁴.₅D₆	φ: D₄/C₂² → C₂ ⊆ Out C₂xA₄	24		(C2xA4).6D4	192,972
(C₂xA₄).₇D₄ = A₄:SD₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₂xA₄	24	6	(C2xA4).7D4	192,973
(C₂xA₄).₈D₄ = D₄:S₄	φ: D₄/C₂² → C₂ ⊆ Out C₂xA₄	24	6+	(C2xA4).8D4	192,974
(C₂xA₄).₉D₄ = A₄:₂Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₂xA₄	48	6-	(C2xA4).9D4	192,975
(C₂xA₄).₁₀D₄ = Q₈:₃S₄	φ: D₄/C₂² → C₂ ⊆ Out C₂xA₄	24	6	(C2xA4).10D4	192,976
(C₂xA₄).₁₁D₄ = C₂⁵.S₃	φ: D₄/C₂² → C₂ ⊆ Out C₂xA₄	24		(C2xA4).11D4	192,991
(C₂xA₄).₁₂D₄ = A₄xC₂²:C₄	φ: trivial image	24		(C2xA4).12D4	192,994
(C₂xA₄).₁₃D₄ = A₄xC₄:C₄	φ: trivial image	48		(C2xA4).13D4	192,995
(C₂xA₄).₁₄D₄ = A₄xD₈	φ: trivial image	24	6+	(C2xA4).14D4	192,1014
(C₂xA₄).₁₅D₄ = A₄xSD₁₆	φ: trivial image	24	6	(C2xA4).15D4	192,1015
(C₂xA₄).₁₆D₄ = A₄xQ₁₆	φ: trivial image	48	6-	(C2xA4).16D4	192,1016

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