Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈×C₁₅

Direct product G=N×Q with N=C₂² and Q=Q₈×C₁₅

		d	ρ	Label	ID
Q₈×C₂×C₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=C₂² and Q=Q₈×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(Q₈×C₁₅) = C₅×Q₈×A₄	φ: Q₈×C₁₅/C₅×Q₈ → C₃ ⊆ Aut C₂²	120	6	C2^2:(Q8xC15)	480,1129
C₂²⋊₂(Q₈×C₁₅) = C₁₅×C₂²⋊Q₈	φ: Q₈×C₁₅/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:2(Q8xC15)	480,927

Non-split extensions G=N.Q with N=C₂² and Q=Q₈×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(Q₈×C₁₅) = C₁₅×C₈.C₄	φ: Q₈×C₁₅/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.(Q8xC15)	480,211
C₂².₂(Q₈×C₁₅) = C₁₅×C₂.C₄²	central extension (φ=1)	480		C2^2.2(Q8xC15)	480,198
C₂².₃(Q₈×C₁₅) = C₄⋊C₄×C₃₀	central extension (φ=1)	480		C2^2.3(Q8xC15)	480,921

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Extensions 1→N→G→Q→1 with N=C22 and Q=Q8×C15