Extensions 1→N→G→Q→1 with N=C₈⋊D₆ and Q=C₂

Direct product G=N×Q with N=C₈⋊D₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₈⋊D₆		48		C2xC8:D6	192,1305

Semidirect products G=N:Q with N=C₈⋊D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₆⋊₁C₂ = S₃×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	24	8+	C8:D6:1C2	192,1331
C₈⋊D₆⋊₂C₂ = D₈⋊₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	8+	C8:D6:2C2	192,1333
C₈⋊D₆⋊₃C₂ = D₂₄⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	8+	C8:D6:3C2	192,1336
C₈⋊D₆⋊₄C₂ = C₂₄.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	8+	C8:D6:4C2	192,1337
C₈⋊D₆⋊₅C₂ = D₁₂⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	24	8+	C8:D6:5C2	192,306
C₈⋊D₆⋊₆C₂ = D₁₂.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	8+	C8:D6:6C2	192,308
C₈⋊D₆⋊₇C₂ = D₁₂.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	8+	C8:D6:7C2	192,312
C₈⋊D₆⋊₈C₂ = Q₈⋊₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	24	4+	C8:D6:8C2	192,381
C₈⋊D₆⋊₉C₂ = D₄.₁₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	4	C8:D6:9C2	192,386
C₈⋊D₆⋊₁₀C₂ = C₂₄.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	4+	C8:D6:10C2	192,456
C₈⋊D₆⋊₁₁C₂ = D₄.₁₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	4	C8:D6:11C2	192,1310
C₈⋊D₆⋊₁₂C₂ = D₄.₁₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	4+	C8:D6:12C2	192,1311
C₈⋊D₆⋊₁₃C₂ = C₂₄.₉C₂³	φ: trivial image	48	4	C8:D6:13C2	192,1307

Non-split extensions G=N.Q with N=C₈⋊D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₆.₁C₂ = D₁₂.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	8+	C8:D6.1C2	192,313
C₈⋊D₆.₂C₂ = C₂₄.₄₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₆	48	4	C8:D6.2C2	192,457

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