Extensions 1→N→G→Q→1 with N=C₂₈ and Q=Q₈

Direct product G=N×Q with N=C₂₈ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₂₈		224		Q8xC28	224,154

Semidirect products G=N:Q with N=C₂₈ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈⋊Q₈ = C₂₈⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂₈	224		C28:Q8	224,83
C₂₈⋊₂Q₈ = C₂₈⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28:2Q8	224,64
C₂₈⋊₃Q₈ = C₄×Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28:3Q8	224,63
C₂₈⋊₄Q₈ = C₇×C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28:4Q8	224,163

Non-split extensions G=N.Q with N=C₂₈ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁Q₈ = C₂₈.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂₈	224		C28.1Q8	224,13
C₂₈.₂Q₈ = C₄.Dic₁₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂₈	224		C28.2Q8	224,14
C₂₈.₃Q₈ = C₂₈.₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂₈	224		C28.3Q8	224,85
C₂₈.₄Q₈ = C₈⋊Dic₇	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28.4Q8	224,23
C₂₈.₅Q₈ = C₅₆⋊₁C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28.5Q8	224,24
C₂₈.₆Q₈ = C₂₈.₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28.6Q8	224,65
C₂₈.₇Q₈ = C₂₈⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28.7Q8	224,10
C₂₈.₈Q₈ = Dic₇⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28.8Q8	224,20
C₂₈.₉Q₈ = C₇×C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28.9Q8	224,55
C₂₈.₁₀Q₈ = C₇×C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28.10Q8	224,56
C₂₈.₁₁Q₈ = C₇×C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28.11Q8	224,160
C₂₈.₁₂Q₈ = C₇×C₄⋊C₈	central extension (φ=1)	224		C28.12Q8	224,54

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