Extensions 1→N→G→Q→1 with N=D₇₂ and Q=C₂

Direct product G=NxQ with N=D₇₂ and Q=C₂

		d	ρ	Label	ID
C₂xD₇₂		144		C2xD72	288,114

Semidirect products G=N:Q with N=D₇₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₇₂:₁C₂ = D₁₄₄	φ: C₂/C₁ → C₂ ⊆ Out D₇₂	144	2+	D72:1C2	288,6
D₇₂:₂C₂ = C₈:D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₇₂	72	4+	D72:2C2	288,118
D₇₂:₃C₂ = C₉:D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇₂	144	4+	D72:3C2	288,33
D₇₂:₄C₂ = D₈xD₉	φ: C₂/C₁ → C₂ ⊆ Out D₇₂	72	4+	D72:4C2	288,120
D₇₂:₅C₂ = D₇₂:₅C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇₂	144	4+	D72:5C2	288,129
D₇₂:₆C₂ = D₇₂:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇₂	72	4+	D72:6C2	288,124
D₇₂:₇C₂ = D₇₂:₇C₂	φ: trivial image	144	2	D72:7C2	288,115

Non-split extensions G=N.Q with N=D₇₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₇₂.₁C₂ = C₁₄₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇₂	144	2	D72.1C2	288,7
D₇₂.₂C₂ = C₉:SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₇₂	144	4+	D72.2C2	288,35

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