Extensions 1→N→G→Q→1 with N=C₄xD₇ and Q=C₈

Direct product G=NxQ with N=C₄xD₇ and Q=C₈

		d	ρ	Label	ID
D₇xC₄xC₈		224		D7xC4xC8	448,218

Semidirect products G=N:Q with N=C₄xD₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₇):₁C₈ = D₇xC₄:C₈	φ: C₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7):1C8	448,366
(C₄xD₇):₂C₈ = C₄².₂₀₀D₁₄	φ: C₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7):2C8	448,367
(C₄xD₇):₃C₈ = C₄².₂₈₂D₁₄	φ: C₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7):3C8	448,219

Non-split extensions G=N.Q with N=C₄xD₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₇).₁C₈ = D₇xM₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₄xD₇	112	4	(C4xD7).1C8	448,440
(C₄xD₇).₂C₈ = C₃₂:D₇	φ: C₈/C₄ → C₂ ⊆ Out C₄xD₇	224	2	(C4xD7).2C8	448,4
(C₄xD₇).₃C₈ = C₂xC₁₆:D₇	φ: C₈/C₄ → C₂ ⊆ Out C₄xD₇	224		(C4xD7).3C8	448,434
(C₄xD₇).₄C₈ = D₇xC₃₂	φ: trivial image	224	2	(C4xD7).4C8	448,3
(C₄xD₇).₅C₈ = D₇xC₂xC₁₆	φ: trivial image	224		(C4xD7).5C8	448,433

׿

x

:

Z

F

o

wr

Q

<