Extensions 1→N→G→Q→1 with N=C₄○D₁₂ and Q=C₂

Direct product G=N×Q with N=C₄○D₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₄○D₁₂		48		C2xC4oD12	96,208

Semidirect products G=N:Q with N=C₄○D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂⋊₁C₂ = C₄○D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	48	2	C4oD12:1C2	96,111
C₄○D₁₂⋊₂C₂ = C₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	24	4+	C4oD12:2C2	96,115
C₄○D₁₂⋊₃C₂ = D₁₂⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	24	4	C4oD12:3C2	96,139
C₄○D₁₂⋊₄C₂ = Q₈.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:4C2	96,157
C₄○D₁₂⋊₅C₂ = D₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	24	4	C4oD12:5C2	96,211
C₄○D₁₂⋊₆C₂ = Q₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:6C2	96,214
C₄○D₁₂⋊₇C₂ = S₃×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	24	4	C4oD12:7C2	96,215
C₄○D₁₂⋊₈C₂ = D₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	24	4+	C4oD12:8C2	96,216
C₄○D₁₂⋊₉C₂ = Q₈○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	48	4-	C4oD12:9C2	96,217

Non-split extensions G=N.Q with N=C₄○D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂.₁C₂ = C₄²⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	24	2	C4oD12.1C2	96,12
C₄○D₁₂.₂C₂ = D₁₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	24	4	C4oD12.2C2	96,32
C₄○D₁₂.₃C₂ = D₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.3C2	96,114
C₄○D₁₂.₄C₂ = C₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	48	4-	C4oD12.4C2	96,116
C₄○D₁₂.₅C₂ = Q₈.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.5C2	96,149
C₄○D₁₂.₆C₂ = C₈○D₁₂	φ: trivial image	48	2	C4oD12.6C2	96,108

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