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

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

		d	ρ	Label	ID
C₁₂×C₅⋊C₈		480		C12xC5:C8	480,280

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁(C₅⋊C₈) = C₆₀⋊C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12:1(C5:C8)	480,306
C₁₂⋊₂(C₅⋊C₈) = C₄×C₁₅⋊C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12:2(C5:C8)	480,305
C₁₂⋊₃(C₅⋊C₈) = C₃×C₂₀⋊C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12:3(C5:C8)	480,281

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₅⋊C₈) = C₆₀.C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₁₂	240	4	C12.1(C5:C8)	480,303
C₁₂.₂(C₅⋊C₈) = C₁₅⋊C₃₂	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₁₂	480	4	C12.2(C5:C8)	480,6
C₁₂.₃(C₅⋊C₈) = C₂×C₁₅⋊C₁₆	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12.3(C5:C8)	480,302
C₁₂.₄(C₅⋊C₈) = C₃×C₂₀.C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₁₂	240	4	C12.4(C5:C8)	480,278
C₁₂.₅(C₅⋊C₈) = C₃×C₅⋊C₃₂	central extension (φ=1)	480	4	C12.5(C5:C8)	480,5
C₁₂.₆(C₅⋊C₈) = C₆×C₅⋊C₁₆	central extension (φ=1)	480		C12.6(C5:C8)	480,277

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