Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₁₈

Direct product G=N×Q with N=C₂⁴ and Q=C₁₈

		d	ρ	Label	ID
C₂⁴×C₁₈		288		C2^4xC18	288,840

Semidirect products G=N:Q with N=C₂⁴ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊₁C₁₈ = C₂⁴⋊C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₂⁴	36	6	C2^4:1C18	288,73
C₂⁴⋊₂C₁₈ = D₄×C₃.A₄	φ: C₁₈/C₃ → C₆ ⊆ Aut C₂⁴	36	6	C2^4:2C18	288,344
C₂⁴⋊₃C₁₈ = C₂³×C₃.A₄	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂⁴	72		C2^4:3C18	288,837
C₂⁴⋊₄C₁₈ = C₂×C₂⁴⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂⁴	36		C2^4:4C18	288,838
C₂⁴⋊₅C₁₈ = C₉×C₂²≀C₂	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂⁴	72		C2^4:5C18	288,170
C₂⁴⋊₆C₁₈ = D₄×C₂×C₁₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂⁴	144		C2^4:6C18	288,368

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.C₁₈ = C₂×C₄×C₃.A₄	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂⁴	72		C2^4.C18	288,343
C₂⁴.₂C₁₈ = C₂²⋊C₄×C₁₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂⁴	144		C2^4.2C18	288,165

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