Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₃₆

Direct product G=N×Q with N=C₂×C₄ and Q=C₃₆

		d	ρ	Label	ID
C₂×C₄×C₃₆		288		C2xC4xC36	288,164

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₃₆ = C₉×C₂³⋊C₄	φ: C₃₆/C₉ → C₄ ⊆ Aut C₂×C₄	72	4	(C2xC4):C36	288,49
(C₂×C₄)⋊₂C₃₆ = C₉×C₂.C₄²	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₄	288		(C2xC4):2C36	288,45
(C₂×C₄)⋊₃C₃₆ = C₄⋊C₄×C₁₈	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₄	288		(C2xC4):3C36	288,166
(C₂×C₄)⋊₄C₃₆ = C₉×C₄²⋊C₂	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4):4C36	288,167

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₃₆ = C₉×C₄.₁₀D₄	φ: C₃₆/C₉ → C₄ ⊆ Aut C₂×C₄	144	4	(C2xC4).C36	288,51
(C₂×C₄).₂C₃₆ = C₉×C₈⋊C₄	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₄	288		(C2xC4).2C36	288,47
(C₂×C₄).₃C₃₆ = C₉×C₂²⋊C₈	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).3C36	288,48
(C₂×C₄).₄C₃₆ = C₉×C₄⋊C₈	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₄	288		(C2xC4).4C36	288,55
(C₂×C₄).₅C₃₆ = C₉×M₅(2)	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₄	144	2	(C2xC4).5C36	288,60
(C₂×C₄).₆C₃₆ = M₄(2)×C₁₈	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).6C36	288,180

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