Extensions 1→N→G→Q→1 with N=C₈⋊S₃ and Q=C₄

Direct product G=N×Q with N=C₈⋊S₃ and Q=C₄

		d	ρ	Label	ID
C₄×C₈⋊S₃		96		C4xC8:S3	192,246

Semidirect products G=N:Q with N=C₈⋊S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊S₃⋊₁C₄ = C₈⋊(C₄×S₃)	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊S₃	96		C8:S3:1C4	192,420
C₈⋊S₃⋊₂C₄ = C₈⋊S₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊S₃	96		C8:S3:2C4	192,440
C₈⋊S₃⋊₃C₄ = Dic₃⋊₅M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊S₃	96		C8:S3:3C4	192,266
C₈⋊S₃⋊₄C₄ = D₆.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊S₃	96		C8:S3:4C4	192,267
C₈⋊S₃⋊₅C₄ = D₆.C₄²	φ: trivial image	96		C8:S3:5C4	192,248

Non-split extensions G=N.Q with N=C₈⋊S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊S₃.₁C₄ = M₄(2).₂₅D₆	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊S₃	48	4	C8:S3.1C4	192,452
C₈⋊S₃.₂C₄ = C₁₆.₁₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊S₃	96	4	C8:S3.2C4	192,466
C₈⋊S₃.₃C₄ = D₁₂.₄C₈	φ: trivial image	96	2	C8:S3.3C4	192,460

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