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

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

		d	ρ	Label	ID
C₂₀×C₃⋊C₈		480		C20xC3:C8	480,121

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅×C₃⋊C₈) = C₅×C₁₂⋊C₈	φ: C₅×C₃⋊C₈/C₆₀ → C₂ ⊆ Aut C₄	480		C4:(C5xC3:C8)	480,123

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅×C₃⋊C₈) = C₅×C₁₂.C₈	φ: C₅×C₃⋊C₈/C₆₀ → C₂ ⊆ Aut C₄	240	2	C4.(C5xC3:C8)	480,131
C₄.₂(C₅×C₃⋊C₈) = C₅×C₃⋊C₃₂	central extension (φ=1)	480	2	C4.2(C5xC3:C8)	480,1
C₄.₃(C₅×C₃⋊C₈) = C₁₀×C₃⋊C₁₆	central extension (φ=1)	480		C4.3(C5xC3:C8)	480,130

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