Extensions 1→N→G→Q→1 with N=C₅₆⋊C₂ and Q=C₂

Direct product G=N×Q with N=C₅₆⋊C₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₅₆⋊C₂		112		C2xC56:C2	224,97

Semidirect products G=N:Q with N=C₅₆⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₆⋊C₂⋊₁C₂ = C₈⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₆⋊C₂	56	4+	C56:C2:1C2	224,103
C₅₆⋊C₂⋊₂C₂ = C₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₆⋊C₂	112	4-	C56:C2:2C2	224,104
C₅₆⋊C₂⋊₃C₂ = D₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₅₆⋊C₂	56	4	C56:C2:3C2	224,106
C₅₆⋊C₂⋊₄C₂ = Q₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₅₆⋊C₂	112	4	C56:C2:4C2	224,113
C₅₆⋊C₂⋊₅C₂ = D₇×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₆⋊C₂	56	4	C56:C2:5C2	224,108
C₅₆⋊C₂⋊₆C₂ = SD₁₆⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out C₅₆⋊C₂	112	4	C56:C2:6C2	224,111
C₅₆⋊C₂⋊₇C₂ = D₅₆⋊₇C₂	φ: trivial image	112	2	C56:C2:7C2	224,99

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