Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₃₆

Direct product G=N×Q with N=C₂² and Q=C₂×C₃₆

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

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₃₆) = C₂×C₄×C₃.A₄	φ: C₂×C₃₆/C₂×C₁₂ → C₃ ⊆ Aut C₂²	72		C2^2:(C2xC36)	288,343
C₂²⋊₂(C₂×C₃₆) = D₄×C₃₆	φ: C₂×C₃₆/C₃₆ → C₂ ⊆ Aut C₂²	144		C2^2:2(C2xC36)	288,168
C₂²⋊₃(C₂×C₃₆) = C₂²⋊C₄×C₁₈	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144		C2^2:3(C2xC36)	288,165

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×C₃₆) = C₉×C₈○D₄	φ: C₂×C₃₆/C₃₆ → C₂ ⊆ Aut C₂²	144	2	C2^2.1(C2xC36)	288,181
C₂².₂(C₂×C₃₆) = C₉×C₂³⋊C₄	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.2(C2xC36)	288,49
C₂².₃(C₂×C₃₆) = C₉×C₄.D₄	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.3(C2xC36)	288,50
C₂².₄(C₂×C₃₆) = C₉×C₄.₁₀D₄	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144	4	C2^2.4(C2xC36)	288,51
C₂².₅(C₂×C₃₆) = C₉×C₄²⋊C₂	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144		C2^2.5(C2xC36)	288,167
C₂².₆(C₂×C₃₆) = M₄(2)×C₁₈	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144		C2^2.6(C2xC36)	288,180
C₂².₇(C₂×C₃₆) = C₉×C₂.C₄²	central extension (φ=1)	288		C2^2.7(C2xC36)	288,45
C₂².₈(C₂×C₃₆) = C₉×C₈⋊C₄	central extension (φ=1)	288		C2^2.8(C2xC36)	288,47
C₂².₉(C₂×C₃₆) = C₉×C₂²⋊C₈	central extension (φ=1)	144		C2^2.9(C2xC36)	288,48
C₂².₁₀(C₂×C₃₆) = C₉×C₄⋊C₈	central extension (φ=1)	288		C2^2.10(C2xC36)	288,55
C₂².₁₁(C₂×C₃₆) = C₄⋊C₄×C₁₈	central extension (φ=1)	288		C2^2.11(C2xC36)	288,166

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