Extensions 1→N→G→Q→1 with N=C₄○D₂₈ and Q=C₂

Direct product G=N×Q with N=C₄○D₂₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₄○D₂₈		112		C2xC4oD28	224,177

Semidirect products G=N:Q with N=C₄○D₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₂₈⋊₁C₂ = D₅₆⋊₇C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	112	2	C4oD28:1C2	224,99
C₄○D₂₈⋊₂C₂ = C₈⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	56	4+	C4oD28:2C2	224,103
C₄○D₂₈⋊₃C₂ = D₄.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	56	4	C4oD28:3C2	224,127
C₄○D₂₈⋊₄C₂ = D₄.₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	112	4	C4oD28:4C2	224,145
C₄○D₂₈⋊₅C₂ = D₄⋊₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	56	4	C4oD28:5C2	224,180
C₄○D₂₈⋊₆C₂ = Q₈.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	112	4	C4oD28:6C2	224,183
C₄○D₂₈⋊₇C₂ = D₇×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	56	4	C4oD28:7C2	224,184
C₄○D₂₈⋊₈C₂ = D₄⋊₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	56	4+	C4oD28:8C2	224,185
C₄○D₂₈⋊₉C₂ = D₄.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	112	4-	C4oD28:9C2	224,186

Non-split extensions G=N.Q with N=C₄○D₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₂₈.₁C₂ = Dic₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	56	2	C4oD28.1C2	224,11
C₄○D₂₈.₂C₂ = D₂₈⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	56	4	C4oD28.2C2	224,31
C₄○D₂₈.₃C₂ = D₂₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	112	4	C4oD28.3C2	224,102
C₄○D₂₈.₄C₂ = C₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	112	4-	C4oD28.4C2	224,104
C₄○D₂₈.₅C₂ = C₂₈.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₈	112	4	C4oD28.5C2	224,137
C₄○D₂₈.₆C₂ = D₂₈.₂C₄	φ: trivial image	112	2	C4oD28.6C2	224,96

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