Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃₆

Direct product G=N×Q with N=C₂³ and Q=C₃₆

		d	ρ	Label	ID
C₂³×C₃₆		288		C2^3xC36	288,367

Semidirect products G=N:Q with N=C₂³ and Q=C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₃₆ = C₉×C₂³⋊C₄	φ: C₃₆/C₉ → C₄ ⊆ Aut C₂³	72	4	C2^3:C36	288,49
C₂³⋊₂C₃₆ = C₂×C₄×C₃.A₄	φ: C₃₆/C₁₂ → C₃ ⊆ Aut C₂³	72		C2^3:2C36	288,343
C₂³⋊₃C₃₆ = C₂²⋊C₄×C₁₈	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3:3C36	288,165

Non-split extensions G=N.Q with N=C₂³ and Q=C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₃₆ = C₉×C₄.D₄	φ: C₃₆/C₉ → C₄ ⊆ Aut C₂³	72	4	C2^3.C36	288,50
C₂³.₂C₃₆ = C₈×C₃.A₄	φ: C₃₆/C₁₂ → C₃ ⊆ Aut C₂³	72	3	C2^3.2C36	288,76
C₂³.₃C₃₆ = C₉×C₂²⋊C₈	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.3C36	288,48
C₂³.₄C₃₆ = M₄(2)×C₁₈	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.4C36	288,180

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