Extensions 1→N→G→Q→1 with N=C₂xC₇:C₈ and Q=C₄

Direct product G=NxQ with N=C₂xC₇:C₈ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xC₇:C₈		448		C2xC4xC7:C8	448,454

Semidirect products G=N:Q with N=C₂xC₇:C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₇:C₈):₁C₄ = C₄²:Dic₇	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8):1C4	448,88
(C₂xC₇:C₈):₂C₄ = (C₂xC₂₈).Q₈	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8):2C4	448,90
(C₂xC₇:C₈):₃C₄ = M₄(2):₄Dic₇	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8):3C4	448,116
(C₂xC₇:C₈):₄C₄ = C₂₈.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8):4C4	448,86
(C₂xC₇:C₈):₅C₄ = C₂xC₂₈.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8):5C4	448,496
(C₂xC₇:C₈):₆C₄ = C₂xC₄.Dic₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8):6C4	448,497
(C₂xC₇:C₈):₇C₄ = C₂₈.₅C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8):7C4	448,531
(C₂xC₇:C₈):₈C₄ = C₂₈.₄₅(C₄:C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8):8C4	448,532
(C₂xC₇:C₈):₉C₄ = C₂₈.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8):9C4	448,656
(C₂xC₇:C₈):₁₀C₄ = (C₂xC₂₈):₃C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8):10C4	448,81
(C₂xC₇:C₈):₁₁C₄ = (C₂xC₅₆):₅C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8):11C4	448,107
(C₂xC₇:C₈):₁₂C₄ = C₂xC₄².D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8):12C4	448,455
(C₂xC₇:C₈):₁₃C₄ = C₂xC₅₆:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8):13C4	448,634
(C₂xC₇:C₈):₁₄C₄ = C₂xC₈xDic₇	φ: trivial image	448		(C2xC7:C8):14C4	448,632

Non-split extensions G=N.Q with N=C₂xC₇:C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₇:C₈).₁C₄ = C₁₁₂:C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8).1C4	448,69
(C₂xC₇:C₈).₂C₄ = M₅(2):D₇	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8).2C4	448,71
(C₂xC₇:C₈).₃C₄ = C₂₈.₂₁C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8).3C4	448,117
(C₂xC₇:C₈).₄C₄ = C₂₈.₅₃D₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8).4C4	448,36
(C₂xC₇:C₈).₅C₄ = C₂₈.₃₉SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8).5C4	448,37
(C₂xC₇:C₈).₆C₄ = C₅₆.₉Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8).6C4	448,68
(C₂xC₇:C₈).₇C₄ = C₂₈.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).7C4	448,115
(C₂xC₇:C₈).₈C₄ = D₇xM₅(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8).8C4	448,440
(C₂xC₇:C₈).₉C₄ = C₂xC₂₈.₅₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).9C4	448,657
(C₂xC₇:C₈).₁₀C₄ = C₄².₂₇₉D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8).10C4	448,11
(C₂xC₇:C₈).₁₁C₄ = C₅₆:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8).11C4	448,12
(C₂xC₇:C₈).₁₂C₄ = Dic₇:C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8).12C4	448,58
(C₂xC₇:C₈).₁₃C₄ = C₁₁₂:₉C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	448		(C2xC7:C8).13C4	448,59
(C₂xC₇:C₈).₁₄C₄ = D₁₄:C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).14C4	448,64
(C₂xC₇:C₈).₁₅C₄ = C₂xC₁₆:D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).15C4	448,434
(C₂xC₇:C₈).₁₆C₄ = C₈xC₇:C₈	φ: trivial image	448		(C2xC7:C8).16C4	448,10
(C₂xC₇:C₈).₁₇C₄ = C₁₆xDic₇	φ: trivial image	448		(C2xC7:C8).17C4	448,57
(C₂xC₇:C₈).₁₈C₄ = D₇xC₂xC₁₆	φ: trivial image	224		(C2xC7:C8).18C4	448,433

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