Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂₈

Direct product G=NxQ with N=C₈ and Q=C₂₈

		d	ρ	Label	ID
C₄xC₅₆		224		C4xC56	224,45

Semidirect products G=N:Q with N=C₈ and Q=C₂₈

extension	φ:Q→Aut N	d	Label	ID
C₈:₁C₂₈ = C₇xC₂.D₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₈	224	C8:1C28	224,56
C₈:₂C₂₈ = C₇xC₄.Q₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₈	224	C8:2C28	224,55
C₈:₃C₂₈ = C₇xC₈:C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₈	224	C8:3C28	224,46

Non-split extensions G=N.Q with N=C₈ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁C₂₈ = C₇xC₈.C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.1C28	224,57
C₈.₂C₂₈ = C₇xM₅(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.2C28	224,59

Extensions 1→N→G→Q→1 with N=C8 and Q=C28