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

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

		d	ρ	Label	ID
S₃×C₂²×C₈		96		S3xC2^2xC8	192,1295

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×C₈) = C₈×D₁₂	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₆	96		D6:1(C2xC8)	192,245
D₆⋊₂(C₂×C₈) = C₃⋊D₄⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₆	96		D6:2(C2xC8)	192,284
D₆⋊₃(C₂×C₈) = D₁₂⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₆	96		D6:3(C2xC8)	192,393
D₆⋊₄(C₂×C₈) = C₈×C₃⋊D₄	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₆	96		D6:4(C2xC8)	192,668
D₆⋊₅(C₂×C₈) = S₃×C₂²⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₆	48		D6:5(C2xC8)	192,283
D₆⋊₆(C₂×C₈) = C₂×D₆⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6:6(C2xC8)	192,667

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×C₈) = D₁₂.₄C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₆	96	2	D6.1(C2xC8)	192,460
D₆.₂(C₂×C₈) = C₁₆.₁₂D₆	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₆	96	4	D6.2(C2xC8)	192,466
D₆.₃(C₂×C₈) = C₄².₂₈₂D₆	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6.3(C2xC8)	192,244
D₆.₄(C₂×C₈) = C₄².₂₀₀D₆	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6.4(C2xC8)	192,392
D₆.₅(C₂×C₈) = C₂×D₆.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₆	96		D6.5(C2xC8)	192,459
D₆.₆(C₂×C₈) = S₃×M₅(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₆	48	4	D6.6(C2xC8)	192,465
D₆.₇(C₂×C₈) = S₃×C₄×C₈	φ: trivial image	96		D6.7(C2xC8)	192,243
D₆.₈(C₂×C₈) = S₃×C₄⋊C₈	φ: trivial image	96		D6.8(C2xC8)	192,391
D₆.₉(C₂×C₈) = S₃×C₂×C₁₆	φ: trivial image	96		D6.9(C2xC8)	192,458

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