Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₂

Direct product G=N×Q with N=C₂₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₈		56		C2xC28	56,8

Semidirect products G=N:Q with N=C₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈⋊₁C₂ = D₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₈	28	2+	C28:1C2	56,5
C₂₈⋊₂C₂ = C₄×D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂₈	28	2	C28:2C2	56,4
C₂₈⋊₃C₂ = C₇×D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₈	28	2	C28:3C2	56,9

Non-split extensions G=N.Q with N=C₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁C₂ = Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₈	56	2-	C28.1C2	56,3
C₂₈.₂C₂ = C₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₈	56	2	C28.2C2	56,1
C₂₈.₃C₂ = C₇×Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₈	56	2	C28.3C2	56,10

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Extensions 1→N→G→Q→1 with N=C28 and Q=C2