Extensions 1→N→G→Q→1 with N=C₂×C₄² and Q=C₆

Direct product G=N×Q with N=C₂×C₄² and Q=C₆

		d	ρ	Label	ID
C₂²×C₄×C₁₂		192		C2^2xC4xC12	192,1400

Semidirect products G=N:Q with N=C₂×C₄² and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄²)⋊₁C₆ = C₂×C₄²⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₄²	24	6	(C2xC4^2):1C6	192,1001
(C₂×C₄²)⋊₂C₆ = C₂×C₂³.A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₄²	12	6+	(C2xC4^2):2C6	192,1002
(C₂×C₄²)⋊₃C₆ = C₂²×C₄²⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₄²	24		(C2xC4^2):3C6	192,992
(C₂×C₄²)⋊₄C₆ = C₁₂×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):4C6	192,810
(C₂×C₄²)⋊₅C₆ = C₃×C₂⁴.C₂²	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):5C6	192,821
(C₂×C₄²)⋊₆C₆ = C₆×C₄²⋊C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):6C6	192,1403
(C₂×C₄²)⋊₇C₆ = C₆×C₄²⋊₂C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):7C6	192,1417
(C₂×C₄²)⋊₈C₆ = C₃×C₂⁴.₃C₂²	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):8C6	192,823
(C₂×C₄²)⋊₉C₆ = C₆×C₄≀C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	48		(C2xC4^2):9C6	192,853
(C₂×C₄²)⋊₁₀C₆ = D₄×C₂×C₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):10C6	192,1404
(C₂×C₄²)⋊₁₁C₆ = C₁₂×C₄○D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):11C6	192,1406
(C₂×C₄²)⋊₁₂C₆ = C₆×C₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):12C6	192,1415
(C₂×C₄²)⋊₁₃C₆ = C₃×C₂³.₃₆C₂³	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):13C6	192,1418
(C₂×C₄²)⋊₁₄C₆ = C₆×C₄⋊₁D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):14C6	192,1419
(C₂×C₄²)⋊₁₅C₆ = C₃×C₂².₂₆C₂⁴	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2):15C6	192,1421

Non-split extensions G=N.Q with N=C₂×C₄² and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄²).₁C₆ = C₄²⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₄²	24	6	(C2xC4^2).1C6	192,192
(C₂×C₄²).₂C₆ = C₄²⋊₂C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₄²	24	6-	(C2xC4^2).2C6	192,193
(C₂×C₄²).₃C₆ = C₄×C₄²⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₄²	12	3	(C2xC4^2).3C6	192,188
(C₂×C₄²).₄C₆ = C₃×C₂².₇C₄²	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).4C6	192,142
(C₂×C₄²).₅C₆ = C₃×C₄²⋊₄C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).5C6	192,809
(C₂×C₄²).₆C₆ = C₁₂×C₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).6C6	192,811
(C₂×C₄²).₇C₆ = C₃×C₄²⋊₅C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).7C6	192,816
(C₂×C₄²).₈C₆ = C₃×C₂³.₆₃C₂³	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).8C6	192,820
(C₂×C₄²).₉C₆ = C₆×C₈⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).9C6	192,836
(C₂×C₄²).₁₀C₆ = C₃×C₄²⋊₆C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	48		(C2xC4^2).10C6	192,145
(C₂×C₄²).₁₁C₆ = C₃×C₄²⋊₈C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).11C6	192,815
(C₂×C₄²).₁₂C₆ = C₃×C₄²⋊₉C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).12C6	192,817
(C₂×C₄²).₁₃C₆ = C₃×C₂³.₆₅C₂³	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).13C6	192,822
(C₂×C₄²).₁₄C₆ = C₃×C₂³.₆₇C₂³	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).14C6	192,824
(C₂×C₄²).₁₅C₆ = C₁₂×M₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2).15C6	192,837
(C₂×C₄²).₁₆C₆ = C₆×C₄⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).16C6	192,855
(C₂×C₄²).₁₇C₆ = C₃×C₄⋊M₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2).17C6	192,856
(C₂×C₄²).₁₈C₆ = C₃×C₄².₁₂C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2).18C6	192,864
(C₂×C₄²).₁₉C₆ = C₃×C₄².₆C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2).19C6	192,865
(C₂×C₄²).₂₀C₆ = Q₈×C₂×C₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).20C6	192,1405
(C₂×C₄²).₂₁C₆ = C₆×C₄².C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).21C6	192,1416
(C₂×C₄²).₂₂C₆ = C₆×C₄⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	192		(C2xC4^2).22C6	192,1420
(C₂×C₄²).₂₃C₆ = C₃×C₂³.₃₇C₂³	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄²	96		(C2xC4^2).23C6	192,1422

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Extensions 1→N→G→Q→1 with N=C2×C42 and Q=C6

Extensions 1→N→G→Q→1 with N=C₂×C₄² and Q=C₆