Extensions 1→N→G→Q→1 with N=D₂₈ and Q=C₂

Direct product G=N×Q with N=D₂₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₂₈		56		C2xD28	112,29

Semidirect products G=N:Q with N=D₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₈⋊₁C₂ = D₅₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₈	56	2+	D28:1C2	112,6
D₂₈⋊₂C₂ = D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₂₈	56	4+	D28:2C2	112,14
D₂₈⋊₃C₂ = D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₂₈	28	4+	D28:3C2	112,31
D₂₈⋊₄C₂ = Q₈⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out D₂₈	56	4+	D28:4C2	112,34
D₂₈⋊₅C₂ = C₄○D₂₈	φ: trivial image	56	2	D28:5C2	112,30

Non-split extensions G=N.Q with N=D₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₈.₁C₂ = C₅₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₂₈	56	2	D28.1C2	112,5
D₂₈.₂C₂ = Q₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₂₈	56	4+	D28.2C2	112,16

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