Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×C₁₅

Direct product G=N×Q with N=C₄ and Q=Q₈×C₁₅

		d	ρ	Label	ID
Q₈×C₆₀		480		Q8xC60	480,924

Semidirect products G=N:Q with N=C₄ and Q=Q₈×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(Q₈×C₁₅) = C₁₅×C₄⋊Q₈	φ: Q₈×C₁₅/C₆₀ → C₂ ⊆ Aut C₄	480		C4:(Q8xC15)	480,933

Non-split extensions G=N.Q with N=C₄ and Q=Q₈×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(Q₈×C₁₅) = C₁₅×C₄.Q₈	φ: Q₈×C₁₅/C₆₀ → C₂ ⊆ Aut C₄	480		C4.1(Q8xC15)	480,209
C₄.₂(Q₈×C₁₅) = C₁₅×C₂.D₈	φ: Q₈×C₁₅/C₆₀ → C₂ ⊆ Aut C₄	480		C4.2(Q8xC15)	480,210
C₄.₃(Q₈×C₁₅) = C₁₅×C₄².C₂	φ: Q₈×C₁₅/C₆₀ → C₂ ⊆ Aut C₄	480		C4.3(Q8xC15)	480,930
C₄.₄(Q₈×C₁₅) = C₁₅×C₄⋊C₈	central extension (φ=1)	480		C4.4(Q8xC15)	480,208

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