Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₅⋊₂C₈

Direct product G=N×Q with N=C₁₂ and Q=C₅⋊₂C₈

		d	ρ	Label	ID
C₁₂×C₅⋊₂C₈		480		C12xC5:2C8	480,80

Semidirect products G=N:Q with N=C₁₂ and Q=C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁(C₅⋊₂C₈) = C₆₀⋊₅C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12:1(C5:2C8)	480,164
C₁₂⋊₂(C₅⋊₂C₈) = C₄×C₁₅⋊₃C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12:2(C5:2C8)	480,162
C₁₂⋊₃(C₅⋊₂C₈) = C₃×C₂₀⋊₃C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12:3(C5:2C8)	480,82

Non-split extensions G=N.Q with N=C₁₂ and Q=C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₅⋊₂C₈) = C₆₀.₇C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.1(C5:2C8)	480,172
C₁₂.₂(C₅⋊₂C₈) = C₁₅⋊₃C₃₂	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₁₂	480	2	C12.2(C5:2C8)	480,3
C₁₂.₃(C₅⋊₂C₈) = C₂×C₁₅⋊₃C₁₆	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.3(C5:2C8)	480,171
C₁₂.₄(C₅⋊₂C₈) = C₃×C₂₀.₄C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.4(C5:2C8)	480,90
C₁₂.₅(C₅⋊₂C₈) = C₃×C₅⋊₂C₃₂	central extension (φ=1)	480	2	C12.5(C5:2C8)	480,2
C₁₂.₆(C₅⋊₂C₈) = C₆×C₅⋊₂C₁₆	central extension (φ=1)	480		C12.6(C5:2C8)	480,89

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