Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₁₈

Direct product G=N×Q with N=C₂³ and Q=C₁₈

		d	ρ	Label	ID
C₂³×C₁₈		144		C2^3xC18	144,113

Semidirect products G=N:Q with N=C₂³ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₁₈ = C₂²×C₃.A₄	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂³	36		C2^3:C18	144,110
C₂³⋊₂C₁₈ = D₄×C₁₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂³	72		C2^3:2C18	144,48

Non-split extensions G=N.Q with N=C₂³ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₁₈ = C₄×C₃.A₄	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂³	36	3	C2^3.C18	144,34
C₂³.₂C₁₈ = C₉×C₂²⋊C₄	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂³	72		C2^3.2C18	144,21

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Extensions 1→N→G→Q→1 with N=C23 and Q=C18