Extensions 1→N→G→Q→1 with N=C₂×C₁₆ and Q=S₃

Direct product G=N×Q with N=C₂×C₁₆ and Q=S₃

		d	ρ	Label	ID
S₃×C₂×C₁₆		96		S3xC2xC16	192,458

Semidirect products G=N:Q with N=C₂×C₁₆ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆)⋊₁S₃ = D₆⋊C₁₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96		(C2xC16):1S3	192,66
(C₂×C₁₆)⋊₂S₃ = D₁₂.C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16):2S3	192,67
(C₂×C₁₆)⋊₃S₃ = C₂.D₄₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96		(C2xC16):3S3	192,68
(C₂×C₁₆)⋊₄S₃ = D₂₄.₁C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16):4S3	192,69
(C₂×C₁₆)⋊₅S₃ = C₂×D₄₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96		(C2xC16):5S3	192,461
(C₂×C₁₆)⋊₆S₃ = D₄₈⋊₇C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16):6S3	192,463
(C₂×C₁₆)⋊₇S₃ = C₂×C₄₈⋊C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96		(C2xC16):7S3	192,462
(C₂×C₁₆)⋊₈S₃ = C₂×D₆.C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96		(C2xC16):8S3	192,459
(C₂×C₁₆)⋊₉S₃ = D₁₂.₄C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16):9S3	192,460

Non-split extensions G=N.Q with N=C₂×C₁₆ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆).₁S₃ = Dic₃⋊C₁₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).1S3	192,60
(C₂×C₁₆).₂S₃ = C₂.Dic₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).2S3	192,62
(C₂×C₁₆).₃S₃ = C₄₈⋊₅C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).3S3	192,63
(C₂×C₁₆).₄S₃ = C₂×Dic₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).4S3	192,464
(C₂×C₁₆).₅S₃ = C₄₈.C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16).5S3	192,65
(C₂×C₁₆).₆S₃ = C₄₈⋊₆C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).6S3	192,64
(C₂×C₁₆).₇S₃ = C₃⋊M₆(2)	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	96	2	(C2xC16).7S3	192,58
(C₂×C₁₆).₈S₃ = C₄₈⋊₁₀C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₆	192		(C2xC16).8S3	192,61
(C₂×C₁₆).₉S₃ = C₂×C₃⋊C₃₂	central extension (φ=1)	192		(C2xC16).9S3	192,57
(C₂×C₁₆).₁₀S₃ = Dic₃×C₁₆	central extension (φ=1)	192		(C2xC16).10S3	192,59

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