Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=Q₈

Direct product G=N×Q with N=C₂²×S₃ and Q=Q₈

		d	ρ	Label	ID
C₂²×S₃×Q₈		96		C2^2xS3xQ8	192,1517

Semidirect products G=N:Q with N=C₂²×S₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊₁Q₈ = (C₂²×S₃)⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×S₃	96		(C2^2xS3):1Q8	192,232
(C₂²×S₃)⋊₂Q₈ = (C₂²×Q₈)⋊₉S₃	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×S₃	96		(C2^2xS3):2Q8	192,790
(C₂²×S₃)⋊₃Q₈ = C₆.₅₁2₊¹⁺⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×S₃	48		(C2^2xS3):3Q8	192,1193
(C₂²×S₃)⋊₄Q₈ = C₂×D₆⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3):4Q8	192,1067
(C₂²×S₃)⋊₅Q₈ = C₂×C₄.D₁₂	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3):5Q8	192,1068
(C₂²×S₃)⋊₆Q₈ = S₃×C₂²⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3):6Q8	192,1185
(C₂²×S₃)⋊₇Q₈ = C₂×D₆⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3):7Q8	192,1372

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).₁Q₈ = (C₂²×C₄).₃₇D₆	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×S₃	96		(C2^2xS3).1Q8	192,235
(C₂²×S₃).₂Q₈ = (C₂×C₁₂).₃₃D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×S₃	96		(C2^2xS3).2Q8	192,236
(C₂²×S₃).₃Q₈ = M₄(2).₂₅D₆	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×S₃	48	4	(C2^2xS3).3Q8	192,452
(C₂²×S₃).₄Q₈ = (C₂×C₁₂).₂₉₀D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×S₃	96		(C2^2xS3).4Q8	192,552
(C₂²×S₃).₅Q₈ = (C₂×C₁₂).₅₆D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×S₃	96		(C2^2xS3).5Q8	192,553
(C₂²×S₃).₆Q₈ = D₆⋊(C₄⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3).6Q8	192,226
(C₂²×S₃).₇Q₈ = D₆⋊C₄⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3).7Q8	192,227
(C₂²×S₃).₈Q₈ = S₃×C₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×S₃	48	4	(C2^2xS3).8Q8	192,451
(C₂²×S₃).₉Q₈ = C₄⋊(D₆⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3).9Q8	192,546
(C₂²×S₃).₁₀Q₈ = D₆⋊C₄⋊₆C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3).10Q8	192,548
(C₂²×S₃).₁₁Q₈ = S₃×C₂.C₄²	φ: trivial image	96		(C2^2xS3).11Q8	192,222
(C₂²×S₃).₁₂Q₈ = C₂×S₃×C₄⋊C₄	φ: trivial image	96		(C2^2xS3).12Q8	192,1060

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