Extensions 1→N→G→Q→1 with N=C₂xC₄wrC₂ and Q=C₂

Direct product G=NxQ with N=C₂xC₄wrC₂ and Q=C₂

		d	ρ	Label	ID
C₂²xC₄wrC₂		32		C2^2xC4wrC2	128,1631

Semidirect products G=N:Q with N=C₂xC₄wrC₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₄wrC₂):₁C₂ = M₄(2):D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):1C2	128,738
(C₂xC₄wrC₂):₂C₂ = M₄(2):₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):2C2	128,739
(C₂xC₄wrC₂):₃C₂ = M₄(2):₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):3C2	128,769
(C₂xC₄wrC₂):₄C₂ = C₂xD₄:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16		(C2xC4wrC2):4C2	128,1746
(C₂xC₄wrC₂):₅C₂ = C₂xD₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):5C2	128,1747
(C₂xC₄wrC₂):₆C₂ = C₂xD₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):6C2	128,1748
(C₂xC₄wrC₂):₇C₂ = C₂xD₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):7C2	128,1749
(C₂xC₄wrC₂):₈C₂ = C₄².₃₁₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16	4	(C2xC4wrC2):8C2	128,1750
(C₂xC₄wrC₂):₉C₂ = C₂⁴.₆₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):9C2	128,521
(C₂xC₄wrC₂):₁₀C₂ = 2₊¹⁺⁴:₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):10C2	128,524
(C₂xC₄wrC₂):₁₁C₂ = 2_-¹⁺⁴:₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):11C2	128,525
(C₂xC₄wrC₂):₁₂C₂ = C₂⁴.₇₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):12C2	128,603
(C₂xC₄wrC₂):₁₃C₂ = M₄(2).₄₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):13C2	128,608
(C₂xC₄wrC₂):₁₄C₂ = C₈:C₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):14C2	128,615
(C₂xC₄wrC₂):₁₅C₂ = (C₂xC₄)wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16		(C2xC4wrC2):15C2	128,628
(C₂xC₄wrC₂):₁₆C₂ = C₄²:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):16C2	128,629
(C₂xC₄wrC₂):₁₇C₂ = C₄².₄₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16	4	(C2xC4wrC2):17C2	128,638
(C₂xC₄wrC₂):₁₈C₂ = C₄³:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):18C2	128,694
(C₂xC₄wrC₂):₁₉C₂ = C₄²:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):19C2	128,695
(C₂xC₄wrC₂):₂₀C₂ = C₄².₃₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):20C2	128,706
(C₂xC₄wrC₂):₂₁C₂ = C₄².₁₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):21C2	128,707
(C₂xC₄wrC₂):₂₂C₂ = M₄(2):₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):22C2	128,712
(C₂xC₄wrC₂):₂₃C₂ = C₄²:₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16		(C2xC4wrC2):23C2	128,734
(C₂xC₄wrC₂):₂₄C₂ = C₄².₁₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):24C2	128,735
(C₂xC₄wrC₂):₂₅C₂ = C₄²:₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):25C2	128,736
(C₂xC₄wrC₂):₂₆C₂ = C₄²:₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):26C2	128,771
(C₂xC₄wrC₂):₂₇C₂ = C₄²:₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):27C2	128,772
(C₂xC₄wrC₂):₂₈C₂ = C₄².₁₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16	4	(C2xC4wrC2):28C2	128,782
(C₂xC₄wrC₂):₂₉C₂ = C₂xC₄²:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):29C2	128,1632
(C₂xC₄wrC₂):₃₀C₂ = 2_-¹⁺⁴:₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16	4	(C2xC4wrC2):30C2	128,1633
(C₂xC₄wrC₂):₃₁C₂ = C₂xC₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2):31C2	128,1686
(C₂xC₄wrC₂):₃₂C₂ = M₄(2).₅₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16	4	(C2xC4wrC2):32C2	128,1688
(C₂xC₄wrC₂):₃₃C₂ = C₂xC₈oD₈	φ: trivial image	32		(C2xC4wrC2):33C2	128,1685

Non-split extensions G=N.Q with N=C₂xC₄wrC₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₄wrC₂).₁C₂ = C₄wrC₂:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).1C2	128,591
(C₂xC₄wrC₂).₂C₂ = C₄²:₉(C₂xC₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).2C2	128,592
(C₂xC₄wrC₂).₃C₂ = M₄(2).₄₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16	4	(C2xC4wrC2).3C2	128,593
(C₂xC₄wrC₂).₄C₂ = M₄(2).₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).4C2	128,770
(C₂xC₄wrC₂).₅C₂ = D₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).5C2	128,491
(C₂xC₄wrC₂).₆C₂ = D₄.₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).6C2	128,497
(C₂xC₄wrC₂).₇C₂ = C₄².₁₀₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).7C2	128,538
(C₂xC₄wrC₂).₈C₂ = M₄(2).₄₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).8C2	128,598
(C₂xC₄wrC₂).₉C₂ = C₈.C₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).9C2	128,614
(C₂xC₄wrC₂).₁₀C₂ = M₄(2).₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).10C2	128,661
(C₂xC₄wrC₂).₁₁C₂ = C₄².₄₂₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16	4	(C2xC4wrC2).11C2	128,664
(C₂xC₄wrC₂).₁₂C₂ = C₄².₄₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).12C2	128,669
(C₂xC₄wrC₂).₁₃C₂ = C₄².₁₀₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).13C2	128,670
(C₂xC₄wrC₂).₁₄C₂ = C₄².₁₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	32		(C2xC4wrC2).14C2	128,737
(C₂xC₄wrC₂).₁₅C₂ = C₄².₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄wrC₂	16	4	(C2xC4wrC2).15C2	128,763
(C₂xC₄wrC₂).₁₆C₂ = C₄xC₄wrC₂	φ: trivial image	32		(C2xC4wrC2).16C2	128,490
(C₂xC₄wrC₂).₁₇C₂ = Q₈.C₄²	φ: trivial image	32		(C2xC4wrC2).17C2	128,496

Extensions 1→N→G→Q→1 with N=C2xC4wrC2 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂xC₄wrC₂ and Q=C₂