Extensions 1→N→G→Q→1 with N=C₁₄₄ and Q=C₂

Direct product G=N×Q with N=C₁₄₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₄₄		288		C2xC144	288,59

Semidirect products G=N:Q with N=C₁₄₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄₄⋊₁C₂ = D₁₄₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₄₄	144	2+	C144:1C2	288,6
C₁₄₄⋊₂C₂ = C₁₄₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₄₄	144	2	C144:2C2	288,7
C₁₄₄⋊₃C₂ = C₁₆×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₄₄	144	2	C144:3C2	288,4
C₁₄₄⋊₄C₂ = C₁₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₄₄	144	2	C144:4C2	288,5
C₁₄₄⋊₅C₂ = C₉×D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₄₄	144	2	C144:5C2	288,61
C₁₄₄⋊₆C₂ = C₉×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₄₄	144	2	C144:6C2	288,62
C₁₄₄⋊₇C₂ = C₉×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₁₄₄	144	2	C144:7C2	288,60

Non-split extensions G=N.Q with N=C₁₄₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄₄.₁C₂ = Dic₇₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₄₄	288	2-	C144.1C2	288,8
C₁₄₄.₂C₂ = C₉⋊C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₄₄	288	2	C144.2C2	288,1
C₁₄₄.₃C₂ = C₉×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₄₄	288	2	C144.3C2	288,63

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