Extensions 1→N→G→Q→1 with N=C₃×Q₁₆ and Q=C₄

Direct product G=N×Q with N=C₃×Q₁₆ and Q=C₄

		d	ρ	Label	ID
C₁₂×Q₁₆		192		C12xQ16	192,872

Semidirect products G=N:Q with N=C₃×Q₁₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₁₆)⋊₁C₄ = C₆.₅Q₃₂	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	192		(C3xQ16):1C4	192,123
(C₃×Q₁₆)⋊₂C₄ = Dic₃×Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	192		(C3xQ16):2C4	192,740
(C₃×Q₁₆)⋊₃C₄ = D₈⋊₅Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	48	4	(C3xQ16):3C4	192,755
(C₃×Q₁₆)⋊₄C₄ = D₈⋊₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	48	4	(C3xQ16):4C4	192,125
(C₃×Q₁₆)⋊₅C₄ = Q₁₆⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	192		(C3xQ16):5C4	192,743
(C₃×Q₁₆)⋊₆C₄ = D₈⋊₄Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	48	4	(C3xQ16):6C4	192,756
(C₃×Q₁₆)⋊₇C₄ = C₃×C₂.Q₃₂	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	192		(C3xQ16):7C4	192,164
(C₃×Q₁₆)⋊₈C₄ = C₃×D₈⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	48	4	(C3xQ16):8C4	192,166
(C₃×Q₁₆)⋊₉C₄ = C₃×Q₁₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	192		(C3xQ16):9C4	192,874
(C₃×Q₁₆)⋊₁₀C₄ = C₃×C₈.₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	48	4	(C3xQ16):10C4	192,877
(C₃×Q₁₆)⋊₁₁C₄ = C₃×C₈○D₈	φ: trivial image	48	2	(C3xQ16):11C4	192,876

Non-split extensions G=N.Q with N=C₃×Q₁₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₁₆).₁C₄ = C₂₄.₄₁D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	96	4	(C3xQ16).1C4	192,126
(C₃×Q₁₆).₂C₄ = Q₁₆.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	96	4	(C3xQ16).2C4	192,124
(C₃×Q₁₆).₃C₄ = C₃×D₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	96	2	(C3xQ16).3C4	192,165
(C₃×Q₁₆).₄C₄ = C₃×C₈.₁₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Q₁₆	96	4	(C3xQ16).4C4	192,168

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