Extensions 1→N→G→Q→1 with N=C₂×Q₁₆ and Q=C₄

Direct product G=N×Q with N=C₂×Q₁₆ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×Q₁₆		128		C2xC4xQ16	128,1670

Semidirect products G=N:Q with N=C₂×Q₁₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₁₆)⋊₁C₄ = C₂³.₃₂D₈	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₁₆	32		(C2xQ16):1C4	128,80
(C₂×Q₁₆)⋊₂C₄ = C₂³.₂D₈	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₁₆	32	8-	(C2xQ16):2C4	128,72
(C₂×Q₁₆)⋊₃C₄ = M₄(2).₄₆D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₁₆	32	8-	(C2xQ16):3C4	128,634
(C₂×Q₁₆)⋊₄C₄ = C₄².₆D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₁₆	32	8-	(C2xQ16):4C4	128,637
(C₂×Q₁₆)⋊₅C₄ = M₄(2).₄₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	32		(C2xQ16):5C4	128,608
(C₂×Q₁₆)⋊₆C₄ = (C₂×C₄)⋊₉Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16):6C4	128,610
(C₂×Q₁₆)⋊₇C₄ = (C₂×C₄)⋊₆Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16):7C4	128,701
(C₂×Q₁₆)⋊₈C₄ = C₄².₃₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	32		(C2xQ16):8C4	128,706
(C₂×Q₁₆)⋊₉C₄ = C₂×C₂.Q₃₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16):9C4	128,869
(C₂×Q₁₆)⋊₁₀C₄ = (C₂×Q₁₆)⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16):10C4	128,703
(C₂×Q₁₆)⋊₁₁C₄ = C₄².₁₁₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	32		(C2xQ16):11C4	128,707
(C₂×Q₁₆)⋊₁₂C₄ = M₄(2).₃₀D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	32	4	(C2xQ16):12C4	128,708
(C₂×Q₁₆)⋊₁₃C₄ = M₄(2).₃₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	64		(C2xQ16):13C4	128,711
(C₂×Q₁₆)⋊₁₄C₄ = C₂³.₄₁D₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	64		(C2xQ16):14C4	128,873
(C₂×Q₁₆)⋊₁₅C₄ = C₂×D₈⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	32		(C2xQ16):15C4	128,876
(C₂×Q₁₆)⋊₁₆C₄ = C₂³.₁₃D₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	32	4	(C2xQ16):16C4	128,877
(C₂×Q₁₆)⋊₁₇C₄ = C₂×Q₁₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16):17C4	128,1673
(C₂×Q₁₆)⋊₁₈C₄ = C₄².₂₇₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	64		(C2xQ16):18C4	128,1682
(C₂×Q₁₆)⋊₁₉C₄ = C₂×C₈.₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	32		(C2xQ16):19C4	128,1686
(C₂×Q₁₆)⋊₂₀C₄ = M₄(2)○D₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	32	4	(C2xQ16):20C4	128,1689
(C₂×Q₁₆)⋊₂₁C₄ = C₂×C₈○D₈	φ: trivial image	32		(C2xQ16):21C4	128,1685

Non-split extensions G=N.Q with N=C₂×Q₁₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₁₆).₁C₄ = C₂³.₁₃SD₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₁₆	64		(C2xQ16).1C4	128,82
(C₂×Q₁₆).₂C₄ = C₈.₃₀D₈	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₁₆	64		(C2xQ16).2C4	128,92
(C₂×Q₁₆).₃C₄ = C₈.₂₇D₈	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₁₆	128		(C2xQ16).3C4	128,94
(C₂×Q₁₆).₄C₄ = C₂³.₂SD₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₂×Q₁₆	32	8-	(C2xQ16).4C4	128,74
(C₂×Q₁₆).₅C₄ = Q₁₆⋊₁C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16).5C4	128,64
(C₂×Q₁₆).₆C₄ = C₈⋊₉Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16).6C4	128,316
(C₂×Q₁₆).₇C₄ = Q₈.M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16).7C4	128,319
(C₂×Q₁₆).₈C₄ = C₈⋊₆Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16).8C4	128,323
(C₂×Q₁₆).₉C₄ = C₂×D₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	64		(C2xQ16).9C4	128,874
(C₂×Q₁₆).₁₀C₄ = Q₁₆⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16).10C4	128,66
(C₂×Q₁₆).₁₁C₄ = Q₁₆⋊₅C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16).11C4	128,311
(C₂×Q₁₆).₁₂C₄ = C₈.M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	128		(C2xQ16).12C4	128,325
(C₂×Q₁₆).₁₃C₄ = C₂³.₂₀SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	32	4	(C2xQ16).13C4	128,875
(C₂×Q₁₆).₁₄C₄ = C₂×C₈.₁₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Q₁₆	64		(C2xQ16).14C4	128,879
(C₂×Q₁₆).₁₅C₄ = C₈×Q₁₆	φ: trivial image	128		(C2xQ16).15C4	128,309

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Extensions 1→N→G→Q→1 with N=C2×Q16 and Q=C4

Extensions 1→N→G→Q→1 with N=C₂×Q₁₆ and Q=C₄