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		96		C2xC8.D6	192,1306

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.D₆⋊₁C₂ = D₈⋊₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	48	8-	C8.D6:1C2	192,1332
C₈.D₆⋊₂C₂ = D₈⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	48	8-	C8.D6:2C2	192,1334
C₈.D₆⋊₃C₂ = S₃×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	48	8-	C8.D6:3C2	192,1335
C₈.D₆⋊₄C₂ = SD₁₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	96	8-	C8.D6:4C2	192,1338
C₈.D₆⋊₅C₂ = M₄(2)⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	48	8-	C8.D6:5C2	192,305
C₈.D₆⋊₆C₂ = D₁₂.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	48	8-	C8.D6:6C2	192,307
C₈.D₆⋊₇C₂ = D₁₂.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	48	8-	C8.D6:7C2	192,311
C₈.D₆⋊₈C₂ = C₄²⋊₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	48	4	C8.D6:8C2	192,384
C₈.D₆⋊₉C₂ = Q₈.₁₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	48	4-	C8.D6:9C2	192,385
C₈.D₆⋊₁₀C₂ = C₂₄.₄₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	48	4	C8.D6:10C2	192,457
C₈.D₆⋊₁₁C₂ = D₄.₁₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	48	4	C8.D6:11C2	192,1310
C₈.D₆⋊₁₂C₂ = D₄.₁₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	96	4-	C8.D6:12C2	192,1312
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 = D₁₂.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	96	8-	C8.D6.1C2	192,314
C₈.D₆.₂C₂ = C₂₄.₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.D₆	96	4-	C8.D6.2C2	192,455

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