Extensions 1→N→G→Q→1 with N=C₂²×D₄ and Q=C₆

Direct product G=N×Q with N=C₂²×D₄ and Q=C₆

		d	ρ	Label	ID
D₄×C₂²×C₆		96		D4xC2^2xC6	192,1531

Semidirect products G=N:Q with N=C₂²×D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄)⋊C₆ = A₄×D₈	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₄	24	6+	(C2^2xD4):C6	192,1014
(C₂²×D₄)⋊₂C₆ = C₂×D₄×A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₄	24		(C2^2xD4):2C6	192,1497
(C₂²×D₄)⋊₃C₆ = A₄×C₄○D₄	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₄	24	6	(C2^2xD4):3C6	192,1501
(C₂²×D₄)⋊₄C₆ = C₃×C₂³⋊₂D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4):4C6	192,825
(C₂²×D₄)⋊₅C₆ = C₃×C₂²⋊D₈	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):5C6	192,880
(C₂²×D₄)⋊₆C₆ = C₆×C₂²≀C₂	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):6C6	192,1410
(C₂²×D₄)⋊₇C₆ = C₆×C₄⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4):7C6	192,1411
(C₂²×D₄)⋊₈C₆ = C₆×C₄⋊₁D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4):8C6	192,1419
(C₂²×D₄)⋊₉C₆ = C₃×C₂³⋊₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):9C6	192,1423
(C₂²×D₄)⋊₁₀C₆ = C₃×C₂².₂₉C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):10C6	192,1424
(C₂²×D₄)⋊₁₁C₆ = C₃×D₄²	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):11C6	192,1434
(C₂²×D₄)⋊₁₂C₆ = C₃×D₄⋊₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):12C6	192,1435
(C₂²×D₄)⋊₁₃C₆ = C₂×C₆×D₈	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4):13C6	192,1458
(C₂²×D₄)⋊₁₄C₆ = C₆×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):14C6	192,1462
(C₂²×D₄)⋊₁₅C₆ = C₆×2₊¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4):15C6	192,1534
(C₂²×D₄)⋊₁₆C₆ = C₂×C₆×C₄○D₄	φ: trivial image	96		(C2^2xD4):16C6	192,1533

Non-split extensions G=N.Q with N=C₂²×D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄).C₆ = A₄×SD₁₆	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₄	24	6	(C2^2xD4).C6	192,1015
(C₂²×D₄).₂C₆ = C₃×C₂³.₂₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).2C6	192,819
(C₂²×D₄).₃C₆ = C₃×C₂⁴.₃C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).3C6	192,823
(C₂²×D₄).₄C₆ = C₃×C₂³.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).4C6	192,827
(C₂²×D₄).₅C₆ = C₆×C₂³⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4).5C6	192,842
(C₂²×D₄).₆C₆ = C₆×C₄.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4).6C6	192,844
(C₂²×D₄).₇C₆ = C₆×D₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).7C6	192,847
(C₂²×D₄).₈C₆ = C₃×C₂³.₃₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4).8C6	192,851
(C₂²×D₄).₉C₆ = C₃×C₂²⋊SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4).9C6	192,883
(C₂²×D₄).₁₀C₆ = C₃×C₂².₁₁C₂⁴	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	48		(C2^2xD4).10C6	192,1407
(C₂²×D₄).₁₁C₆ = C₆×C₂².D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).11C6	192,1413
(C₂²×D₄).₁₂C₆ = C₆×C₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).12C6	192,1415
(C₂²×D₄).₁₃C₆ = C₂×C₆×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₄	96		(C2^2xD4).13C6	192,1459
(C₂²×D₄).₁₄C₆ = D₄×C₂×C₁₂	φ: trivial image	96		(C2^2xD4).14C6	192,1404

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