Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×C₅⋊C₈

Direct product G=N×Q with N=C₄ and Q=C₃×C₅⋊C₈

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

Semidirect products G=N:Q with N=C₄ and Q=C₃×C₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×C₅⋊C₈) = C₃×C₂₀⋊C₈	φ: C₃×C₅⋊C₈/C₃×Dic₅ → C₂ ⊆ Aut C₄	480		C4:(C3xC5:C8)	480,281

Non-split extensions G=N.Q with N=C₄ and Q=C₃×C₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×C₅⋊C₈) = C₃×C₂₀.C₈	φ: C₃×C₅⋊C₈/C₃×Dic₅ → C₂ ⊆ Aut C₄	240	4	C4.(C3xC5:C8)	480,278
C₄.₂(C₃×C₅⋊C₈) = C₃×C₅⋊C₃₂	central extension (φ=1)	480	4	C4.2(C3xC5:C8)	480,5
C₄.₃(C₃×C₅⋊C₈) = C₆×C₅⋊C₁₆	central extension (φ=1)	480		C4.3(C3xC5:C8)	480,277

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=C3×C5⋊C8