Extensions 1→N→G→Q→1 with N=C₂xQ₈ and Q=C₂₈

Direct product G=NxQ with N=C₂xQ₈ and Q=C₂₈

		d	ρ	Label	ID
Q₈xC₂xC₂₈		448		Q8xC2xC28	448,1299

Semidirect products G=N:Q with N=C₂xQ₈ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xQ₈):₁C₂₈ = C₇xC₂³.₃₁D₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂xQ₈	112		(C2xQ8):1C28	448,132
(C₂xQ₈):₂C₂₈ = C₇xC₄²:₃C₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂xQ₈	112	4	(C2xQ8):2C28	448,158
(C₂xQ₈):₃C₂₈ = C₇xC₂³.₆₇C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	448		(C2xQ8):3C28	448,799
(C₂xQ₈):₄C₂₈ = C₇xC₂³.C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	112	4	(C2xQ8):4C28	448,818
(C₂xQ₈):₅C₂₈ = C₁₄xQ₈:C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	448		(C2xQ8):5C28	448,823
(C₂xQ₈):₆C₂₈ = C₇xC₂³.₃₈D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	224		(C2xQ8):6C28	448,827
(C₂xQ₈):₇C₂₈ = C₁₄xC₄wrC₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	112		(C2xQ8):7C28	448,828
(C₂xQ₈):₈C₂₈ = C₇xC₄²:C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	112	4	(C2xQ8):8C28	448,829
(C₂xQ₈):₉C₂₈ = C₇xC₂³.₃₂C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	224		(C2xQ8):9C28	448,1302

Non-split extensions G=N.Q with N=C₂xQ₈ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xQ₈).₁C₂₈ = C₇xC₄².C₂²	φ: C₂₈/C₇ → C₄ ⊆ Out C₂xQ₈	224		(C2xQ8).1C28	448,133
(C₂xQ₈).₂C₂₈ = C₇xC₄.₆Q₁₆	φ: C₂₈/C₇ → C₄ ⊆ Out C₂xQ₈	448		(C2xQ8).2C28	448,137
(C₂xQ₈).₃C₂₈ = C₇xC₄².₃C₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂xQ₈	112	4	(C2xQ8).3C28	448,160
(C₂xQ₈).₄C₂₈ = C₇xQ₈:C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	448		(C2xQ8).4C28	448,130
(C₂xQ₈).₅C₂₈ = C₇x(C₂²xC₈):C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	224		(C2xQ8).5C28	448,816
(C₂xQ₈).₆C₂₈ = C₁₄xC₄.₁₀D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	224		(C2xQ8).6C28	448,820
(C₂xQ₈).₇C₂₈ = C₇xC₈:₄Q₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	448		(C2xQ8).7C28	448,854
(C₂xQ₈).₈C₂₈ = C₇xQ₈oM₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xQ₈	112	4	(C2xQ8).8C28	448,1351
(C₂xQ₈).₉C₂₈ = Q₈xC₅₆	φ: trivial image	448		(C2xQ8).9C28	448,853
(C₂xQ₈).₁₀C₂₈ = C₁₄xC₈oD₄	φ: trivial image	224		(C2xQ8).10C28	448,1350

׿

x

:

Z

F

o

wr

Q

<