Extensions 1→N→G→Q→1 with N=C₄oD₄ and Q=C₂₈

Direct product G=NxQ with N=C₄oD₄ and Q=C₂₈

		d	ρ	Label	ID
C₄oD₄xC₂₈		224		C4oD4xC28	448,1300

Semidirect products G=N:Q with N=C₄oD₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄:₁C₂₈ = C₇xC₂³.₂₄D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄oD₄	224		C4oD4:1C28	448,824
C₄oD₄:₂C₂₈ = C₇xC₂³.₃₆D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄oD₄	224		C4oD4:2C28	448,825
C₄oD₄:₃C₂₈ = C₁₄xC₄wrC₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄oD₄	112		C4oD4:3C28	448,828
C₄oD₄:₄C₂₈ = C₇xC₄²:C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄oD₄	112	4	C4oD4:4C28	448,829
C₄oD₄:₅C₂₈ = C₇xC₂³.₃₃C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄oD₄	224		C4oD4:5C28	448,1303

Non-split extensions G=N.Q with N=C₄oD₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄.₁C₂₈ = C₇xD₄.C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄oD₄	224	2	C4oD4.1C28	448,154
C₄oD₄.₂C₂₈ = C₇xQ₈oM₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₄oD₄	112	4	C4oD4.2C28	448,1351
C₄oD₄.₃C₂₈ = C₇xD₄oC₁₆	φ: trivial image	224	2	C4oD4.3C28	448,912
C₄oD₄.₄C₂₈ = C₁₄xC₈oD₄	φ: trivial image	224		C4oD4.4C28	448,1350

׿

x

:

Z

F

o

wr

Q

<