Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈⋊₂S₃

Direct product G=N×Q with N=C₂² and Q=Q₈⋊₂S₃

		d	ρ	Label	ID
C₂²×Q₈⋊₂S₃		96		C2^2xQ8:2S3	192,1366

Semidirect products G=N:Q with N=C₂² and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(Q₈⋊₂S₃) = Q₈⋊₃S₄	φ: Q₈⋊₂S₃/Q₈ → S₃ ⊆ Aut C₂²	24	6	C2^2:(Q8:2S3)	192,976
C₂²⋊₂(Q₈⋊₂S₃) = C₃⋊C₈⋊₂₄D₄	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₂²	96		C2^2:2(Q8:2S3)	192,607
C₂²⋊₃(Q₈⋊₂S₃) = D₁₂.₃₆D₄	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:3(Q8:2S3)	192,605
C₂²⋊₄(Q₈⋊₂S₃) = (C₃×Q₈)⋊₁₃D₄	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₂²	96		C2^2:4(Q8:2S3)	192,786

Non-split extensions G=N.Q with N=C₂² and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(Q₈⋊₂S₃) = Dic₁₂.C₄	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₂²	96	4	C2^2.1(Q8:2S3)	192,56
C₂².₂(Q₈⋊₂S₃) = C₂₄.₆Q₈	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₂²	48	4	C2^2.2(Q8:2S3)	192,53
C₂².₃(Q₈⋊₂S₃) = D₂₄.C₄	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₂²	48	4+	C2^2.3(Q8:2S3)	192,54
C₂².₄(Q₈⋊₂S₃) = C₂₄.₈D₄	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₂²	96	4-	C2^2.4(Q8:2S3)	192,55
C₂².₅(Q₈⋊₂S₃) = (C₆×Q₈)⋊C₄	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₂²	48		C2^2.5(Q8:2S3)	192,97
C₂².₆(Q₈⋊₂S₃) = (C₂×Q₈).₄₉D₆	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.6(Q8:2S3)	192,602
C₂².₇(Q₈⋊₂S₃) = C₆.C₄≀C₂	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₂²	48		C2^2.7(Q8:2S3)	192,10
C₂².₈(Q₈⋊₂S₃) = C₄⋊C₄.₂₂₈D₆	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₂²	96		C2^2.8(Q8:2S3)	192,527
C₂².₉(Q₈⋊₂S₃) = C₁₂.C₄²	central extension (φ=1)	192		C2^2.9(Q8:2S3)	192,88
C₂².₁₀(Q₈⋊₂S₃) = C₂×C₁₂.Q₈	central extension (φ=1)	192		C2^2.10(Q8:2S3)	192,522
C₂².₁₁(Q₈⋊₂S₃) = C₂×C₆.D₈	central extension (φ=1)	96		C2^2.11(Q8:2S3)	192,524
C₂².₁₂(Q₈⋊₂S₃) = C₂×Q₈⋊₂Dic₃	central extension (φ=1)	192		C2^2.12(Q8:2S3)	192,783

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