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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₂×C₃₆) = D₄×C₃₆	φ: C₂×C₃₆/C₃₆ → C₂ ⊆ Aut C₄	144		C4:1(C2xC36)	288,168
C₄⋊₂(C₂×C₃₆) = C₄⋊C₄×C₁₈	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₄	288		C4:2(C2xC36)	288,166

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₃₆) = C₉×D₄⋊C₄	φ: C₂×C₃₆/C₃₆ → C₂ ⊆ Aut C₄	144		C4.1(C2xC36)	288,52
C₄.₂(C₂×C₃₆) = C₉×Q₈⋊C₄	φ: C₂×C₃₆/C₃₆ → C₂ ⊆ Aut C₄	288		C4.2(C2xC36)	288,53
C₄.₃(C₂×C₃₆) = C₉×C₄≀C₂	φ: C₂×C₃₆/C₃₆ → C₂ ⊆ Aut C₄	72	2	C4.3(C2xC36)	288,54
C₄.₄(C₂×C₃₆) = Q₈×C₃₆	φ: C₂×C₃₆/C₃₆ → C₂ ⊆ Aut C₄	288		C4.4(C2xC36)	288,169
C₄.₅(C₂×C₃₆) = C₉×C₈○D₄	φ: C₂×C₃₆/C₃₆ → C₂ ⊆ Aut C₄	144	2	C4.5(C2xC36)	288,181
C₄.₆(C₂×C₃₆) = C₉×C₄.Q₈	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₄	288		C4.6(C2xC36)	288,56
C₄.₇(C₂×C₃₆) = C₉×C₂.D₈	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₄	288		C4.7(C2xC36)	288,57
C₄.₈(C₂×C₃₆) = C₉×C₈.C₄	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₄	144	2	C4.8(C2xC36)	288,58
C₄.₉(C₂×C₃₆) = M₄(2)×C₁₈	φ: C₂×C₃₆/C₂×C₁₈ → C₂ ⊆ Aut C₄	144		C4.9(C2xC36)	288,180
C₄.₁₀(C₂×C₃₆) = C₉×C₈⋊C₄	central extension (φ=1)	288		C4.10(C2xC36)	288,47
C₄.₁₁(C₂×C₃₆) = C₉×M₅(2)	central extension (φ=1)	144	2	C4.11(C2xC36)	288,60
C₄.₁₂(C₂×C₃₆) = C₉×C₄²⋊C₂	central extension (φ=1)	144		C4.12(C2xC36)	288,167

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