Extensions 1→N→G→Q→1 with N=C₅×Q₁₆ and Q=C₆

Direct product G=N×Q with N=C₅×Q₁₆ and Q=C₆

		d	ρ	Label	ID
Q₁₆×C₃₀		480		Q16xC30	480,939

Semidirect products G=N:Q with N=C₅×Q₁₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₁₆)⋊₁C₆ = C₃×C₅⋊SD₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4	(C5xQ16):1C6	480,106
(C₅×Q₁₆)⋊₂C₆ = C₃×D₅×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4	(C5xQ16):2C6	480,710
(C₅×Q₁₆)⋊₃C₆ = C₃×Q₈.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4	(C5xQ16):3C6	480,712
(C₅×Q₁₆)⋊₄C₆ = C₃×Q₁₆⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4	(C5xQ16):4C6	480,711
(C₅×Q₁₆)⋊₅C₆ = C₁₅×SD₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	2	(C5xQ16):5C6	480,215
(C₅×Q₁₆)⋊₆C₆ = C₁₅×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4	(C5xQ16):6C6	480,942
(C₅×Q₁₆)⋊₇C₆ = C₁₅×C₄○D₈	φ: trivial image	240	2	(C5xQ16):7C6	480,940

Non-split extensions G=N.Q with N=C₅×Q₁₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₁₆).₁C₆ = C₃×C₅⋊Q₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₁₆	480	4	(C5xQ16).1C6	480,107
(C₅×Q₁₆).₂C₆ = C₁₅×Q₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₁₆	480	2	(C5xQ16).2C6	480,216

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