Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈⋊₂S₃

Direct product G=N×Q with N=C₄ and Q=Q₈⋊₂S₃

		d	ρ	Label	ID
C₄×Q₈⋊₂S₃		96		C4xQ8:2S3	192,584

Semidirect products G=N:Q with N=C₄ and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(Q₈⋊₂S₃) = C₁₂⋊₆SD₁₆	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₄	96		C4:1(Q8:2S3)	192,644
C₄⋊₂(Q₈⋊₂S₃) = C₁₂⋊₅SD₁₆	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₄	96		C4:2(Q8:2S3)	192,642
C₄⋊₃(Q₈⋊₂S₃) = Q₈⋊₂D₁₂	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₄	96		C4:3(Q8:2S3)	192,586

Non-split extensions G=N.Q with N=C₄ and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(Q₈⋊₂S₃) = C₆.D₁₆	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₄	96		C4.1(Q8:2S3)	192,50
C₄.₂(Q₈⋊₂S₃) = C₆.Q₃₂	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₄	192		C4.2(Q8:2S3)	192,51
C₄.₃(Q₈⋊₂S₃) = C₁₂.₉Q₁₆	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₄	192		C4.3(Q8:2S3)	192,638
C₄.₄(Q₈⋊₂S₃) = C₁₂.SD₁₆	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₄	192		C4.4(Q8:2S3)	192,639
C₄.₅(Q₈⋊₂S₃) = C₁₂.D₈	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₄	96		C4.5(Q8:2S3)	192,647
C₄.₆(Q₈⋊₂S₃) = C₈.Dic₆	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₄	48	4	C4.6(Q8:2S3)	192,46
C₄.₇(Q₈⋊₂S₃) = D₂₄⋊₈C₄	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₄	48	4	C4.7(Q8:2S3)	192,47
C₄.₈(Q₈⋊₂S₃) = C₁₂.₅Q₁₆	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₄	192		C4.8(Q8:2S3)	192,105
C₄.₉(Q₈⋊₂S₃) = C₁₂.₁₀D₈	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₄	192		C4.9(Q8:2S3)	192,106
C₄.₁₀(Q₈⋊₂S₃) = D₁₂⋊₅Q₈	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₄	96		C4.10(Q8:2S3)	192,643
C₄.₁₁(Q₈⋊₂S₃) = C₁₂.₄₇D₈	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₄	192		C4.11(Q8:2S3)	192,41
C₄.₁₂(Q₈⋊₂S₃) = C₄.D₂₄	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₄	96		C4.12(Q8:2S3)	192,44
C₄.₁₃(Q₈⋊₂S₃) = Q₈⋊₄Dic₆	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₄	192		C4.13(Q8:2S3)	192,579
C₄.₁₄(Q₈⋊₂S₃) = C₁₂.₃₉SD₁₆	central extension (φ=1)	192		C4.14(Q8:2S3)	192,39
C₄.₁₅(Q₈⋊₂S₃) = D₁₂⋊₂C₈	central extension (φ=1)	96		C4.15(Q8:2S3)	192,42
C₄.₁₆(Q₈⋊₂S₃) = C₁₂.₂₆Q₁₆	central extension (φ=1)	192		C4.16(Q8:2S3)	192,94

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