Extensions 1→N→G→Q→1 with N=C₇xM₅(2) and Q=C₂

Direct product G=NxQ with N=C₇xM₅(2) and Q=C₂

		d	ρ	Label	ID
C₁₄xM₅(2)		224		C14xM5(2)	448,911

Semidirect products G=N:Q with N=C₇xM₅(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xM₅(2)):₁C₂ = C₁₆:D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4+	(C7xM5(2)):1C2	448,442
(C₇xM₅(2)):₂C₂ = C₁₆.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	224	4-	(C7xM5(2)):2C2	448,443
(C₇xM₅(2)):₃C₂ = C₇xC₁₆:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)):3C2	448,917
(C₇xM₅(2)):₄C₂ = C₇xQ₃₂:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	224	4	(C7xM5(2)):4C2	448,918
(C₇xM₅(2)):₅C₂ = D₇xM₅(2)	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)):5C2	448,440
(C₇xM₅(2)):₆C₂ = C₁₆.₁₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	224	4	(C7xM5(2)):6C2	448,441
(C₇xM₅(2)):₇C₂ = M₅(2):D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)):7C2	448,71
(C₇xM₅(2)):₈C₂ = Dic₁₄.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	224	4	(C7xM5(2)):8C2	448,72
(C₇xM₅(2)):₉C₂ = C₂₈.₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4+	(C7xM5(2)):9C2	448,73
(C₇xM₅(2)):₁₀C₂ = D₅₆:₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)):10C2	448,75
(C₇xM₅(2)):₁₁C₂ = C₇xC₂³.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)):11C2	448,153
(C₇xM₅(2)):₁₂C₂ = C₇xD₄.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	224	2	(C7xM5(2)):12C2	448,154
(C₇xM₅(2)):₁₃C₂ = C₇xD₈:₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)):13C2	448,164
(C₇xM₅(2)):₁₄C₂ = C₇xM₅(2):C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)):14C2	448,165
(C₇xM₅(2)):₁₅C₂ = C₇xD₄oC₁₆	φ: trivial image	224	2	(C7xM5(2)):15C2	448,912

Non-split extensions G=N.Q with N=C₇xM₅(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xM₅(2)).₁C₂ = C₁₆:Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)).1C2	448,70
(C₇xM₅(2)).₂C₂ = C₁₁₂:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)).2C2	448,69
(C₇xM₅(2)).₃C₂ = C₇xC₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)).3C2	448,169
(C₇xM₅(2)).₄C₂ = C₅₆.₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)).4C2	448,68
(C₇xM₅(2)).₅C₂ = C₂₈.₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	224	4-	(C7xM5(2)).5C2	448,74
(C₇xM₅(2)).₆C₂ = C₇xC₁₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	4	(C7xM5(2)).6C2	448,151
(C₇xM₅(2)).₇C₂ = C₇xC₈.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	224	4	(C7xM5(2)).7C2	448,166
(C₇xM₅(2)).₈C₂ = C₇xC₈.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xM₅(2)	112	2	(C7xM5(2)).8C2	448,168

׿

x

:

Z

F

o

wr

Q

<