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

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

		d	ρ	Label	ID
C₄×C₅₆		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 = C₇×C₂.D₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₈	224	C8:1C28	224,56
C₈⋊₂C₂₈ = C₇×C₄.Q₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₈	224	C8:2C28	224,55
C₈⋊₃C₂₈ = C₇×C₈⋊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 = C₇×C₈.C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.1C28	224,57
C₈.₂C₂₈ = C₇×M₅(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.2C28	224,59

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