Extensions 1→N→G→Q→1 with N=C₇x2_-¹⁺⁴ and Q=C₂

Direct product G=NxQ with N=C₇x2_-¹⁺⁴ and Q=C₂

		d	ρ	Label	ID
C₁₄x2_-¹⁺⁴		224		C14xES-(2,2)	448,1390

Semidirect products G=N:Q with N=C₇x2_-¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇x2_-¹⁺⁴):₁C₂ = 2_-¹⁺⁴:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇x2_-¹⁺⁴	112	8+	(C7xES-(2,2)):1C2	448,779
(C₇x2_-¹⁺⁴):₂C₂ = D₂₈.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇x2_-¹⁺⁴	112	8+	(C7xES-(2,2)):2C2	448,1290
(C₇x2_-¹⁺⁴):₃C₂ = D₂₈.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇x2_-¹⁺⁴	224	8-	(C7xES-(2,2)):3C2	448,1291
(C₇x2_-¹⁺⁴):₄C₂ = D₇x2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇x2_-¹⁺⁴	112	8-	(C7xES-(2,2)):4C2	448,1381
(C₇x2_-¹⁺⁴):₅C₂ = D₂₈.₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇x2_-¹⁺⁴	112	8+	(C7xES-(2,2)):5C2	448,1382
(C₇x2_-¹⁺⁴):₆C₂ = C₇xD₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇x2_-¹⁺⁴	112	4	(C7xES-(2,2)):6C2	448,862
(C₇x2_-¹⁺⁴):₇C₂ = C₇xD₄oSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇x2_-¹⁺⁴	112	4	(C7xES-(2,2)):7C2	448,1360
(C₇x2_-¹⁺⁴):₈C₂ = C₇xQ₈oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₇x2_-¹⁺⁴	224	4	(C7xES-(2,2)):8C2	448,1361
(C₇x2_-¹⁺⁴):₉C₂ = C₇xC₂.C₂⁵	φ: trivial image	112	4	(C7xES-(2,2)):9C2	448,1391

Non-split extensions G=N.Q with N=C₇x2_-¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇x2_-¹⁺⁴).₁C₂ = 2_-¹⁺⁴.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇x2_-¹⁺⁴	112	8-	(C7xES-(2,2)).1C2	448,780
(C₇x2_-¹⁺⁴).₂C₂ = C₇xD₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇x2_-¹⁺⁴	112	4	(C7xES-(2,2)).2C2	448,864

׿

x

:

Z

F

o

wr

Q

<