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Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₃₀

Direct product G=N×Q with N=C₂⁴ and Q=C₃₀

		d	ρ	Label	ID
C₂⁴×C₃₀		480		C2^4xC30	480,1213

Semidirect products G=N:Q with N=C₂⁴ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊C₃₀ = C₂×F₁₆	φ: C₃₀/C₂ → C₁₅ ⊆ Aut C₂⁴	30	15+	C2^4:C30	480,1190
C₂⁴⋊₂C₃₀ = C₅×C₂⁴⋊C₆	φ: C₃₀/C₅ → C₆ ⊆ Aut C₂⁴	40	6	C2^4:2C30	480,656
C₂⁴⋊₃C₃₀ = C₅×D₄×A₄	φ: C₃₀/C₅ → C₆ ⊆ Aut C₂⁴	60	6	C2^4:3C30	480,1127
C₂⁴⋊₄C₃₀ = C₆×C₂⁴⋊C₅	φ: C₃₀/C₆ → C₅ ⊆ Aut C₂⁴	30	5	C2^4:4C30	480,1204
C₂⁴⋊₅C₃₀ = A₄×C₂²×C₁₀	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₂⁴	120		C2^4:5C30	480,1208
C₂⁴⋊₆C₃₀ = C₁₀×C₂²⋊A₄	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₂⁴	60		C2^4:6C30	480,1209
C₂⁴⋊₇C₃₀ = C₁₅×C₂²≀C₂	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂⁴	120		C2^4:7C30	480,925
C₂⁴⋊₈C₃₀ = D₄×C₂×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂⁴	240		C2^4:8C30	480,1181

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.C₃₀ = A₄×C₂×C₂₀	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₂⁴	120		C2^4.C30	480,1126
C₂⁴.₂C₃₀ = C₂²⋊C₄×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂⁴	240		C2^4.2C30	480,920

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