Extensions 1→N→G→Q→1 with N=C₈○D₁₂ and Q=C₂

Direct product G=N×Q with N=C₈○D₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₈○D₁₂		96		C2xC8oD12	192,1297

Semidirect products G=N:Q with N=C₈○D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₁₂⋊₁C₂ = C₂₄.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:1C2	192,719
C₈○D₁₂⋊₂C₂ = D₈⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:2C2	192,1316
C₈○D₁₂⋊₃C₂ = D₁₂.₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	96	4	C8oD12:3C2	192,1325
C₈○D₁₂⋊₄C₂ = C₂₄.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:4C2	192,736
C₈○D₁₂⋊₅C₂ = SD₁₆⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:5C2	192,1321
C₈○D₁₂⋊₆C₂ = C₂₄.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4+	C8oD12:6C2	192,456
C₈○D₁₂⋊₇C₂ = D₈⋊₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4+	C8oD12:7C2	192,1328
C₈○D₁₂⋊₈C₂ = D₈.₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	96	4-	C8oD12:8C2	192,1330
C₈○D₁₂⋊₉C₂ = C₂₄.₄₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:9C2	192,457
C₈○D₁₂⋊₁₀C₂ = D₈⋊₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:10C2	192,1329
C₈○D₁₂⋊₁₁C₂ = D₂₄⋊₁₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	2	C8oD12:11C2	192,259
C₈○D₁₂⋊₁₂C₂ = D₂₄⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:12C2	192,276
C₈○D₁₂⋊₁₃C₂ = C₂₄.₁₀₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:13C2	192,703
C₈○D₁₂⋊₁₄C₂ = C₂₄.₅₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:14C2	192,704
C₈○D₁₂⋊₁₅C₂ = M₄(2)⋊₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:15C2	192,1304
C₈○D₁₂⋊₁₆C₂ = S₃×C₈○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:16C2	192,1308
C₈○D₁₂⋊₁₇C₂ = M₄(2)⋊₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	48	4	C8oD12:17C2	192,1309

Non-split extensions G=N.Q with N=C₈○D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₁₂.₁C₂ = C₂₄.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	96	4	C8oD12.1C2	192,751
C₈○D₁₂.₂C₂ = C₂₄.₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	96	4-	C8oD12.2C2	192,455
C₈○D₁₂.₃C₂ = D₁₂.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	96	2	C8oD12.3C2	192,67
C₈○D₁₂.₄C₂ = Dic₆.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	96	4	C8oD12.4C2	192,74
C₈○D₁₂.₅C₂ = C₁₆.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₁₂	96	4	C8oD12.5C2	192,466
C₈○D₁₂.₆C₂ = D₁₂.₄C₈	φ: trivial image	96	2	C8oD12.6C2	192,460

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