Extensions 1→N→G→Q→1 with N=C₂×A₄ and Q=D₄

Direct product G=N×Q with N=C₂×A₄ and Q=D₄

		d	ρ	Label	ID
C₂×D₄×A₄		24		C2xD4xA4	192,1497

Semidirect products G=N:Q with N=C₂×A₄ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊₁D₄ = C₂×C₄⋊S₄	φ: D₄/C₄ → C₂ ⊆ Out C₂×A₄	24		(C2xA4):1D4	192,1470
(C₂×A₄)⋊₂D₄ = C₂×A₄⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₂×A₄	24		(C2xA4):2D4	192,1488

Non-split extensions G=N.Q with N=C₂×A₄ and Q=D₄

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

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