Extensions 1→N→G→Q→1 with N=C₄.₆S₄ and Q=C₂

Direct product G=N×Q with N=C₄.₆S₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄.₆S₄		32		C2xC4.6S4	192,1480

Semidirect products G=N:Q with N=C₄.₆S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₆S₄⋊₁C₂ = Q₈.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₆S₄	32	4	C4.6S4:1C2	192,1483
C₄.₆S₄⋊₂C₂ = Q₈.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₆S₄	32	4+	C4.6S4:2C2	192,1484
C₄.₆S₄⋊₃C₂ = D₄.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₆S₄	16	4	C4.6S4:3C2	192,1485
C₄.₆S₄⋊₄C₂ = D₄.₅S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₆S₄	32	4-	C4.6S4:4C2	192,1486
C₄.₆S₄⋊₅C₂ = GL₂(𝔽₃)⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄.₆S₄	32	4	C4.6S4:5C2	192,1482

Non-split extensions G=N.Q with N=C₄.₆S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₆S₄.C₂ = C₈.₅S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₆S₄	32	4	C4.6S4.C2	192,964
C₄.₆S₄.₂C₂ = CU₂(𝔽₃)	φ: trivial image	32	2	C4.6S4.2C2	192,963

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