Extensions 1→N→G→Q→1 with N=C₇₂⋊C₂ and Q=C₂

Direct product G=N×Q with N=C₇₂⋊C₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₇₂⋊C₂		144		C2xC72:C2	288,113

Semidirect products G=N:Q with N=C₇₂⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇₂⋊C₂⋊₁C₂ = C₈⋊D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₇₂⋊C₂	72	4+	C72:C2:1C2	288,118
C₇₂⋊C₂⋊₂C₂ = C₈.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₇₂⋊C₂	144	4-	C72:C2:2C2	288,119
C₇₂⋊C₂⋊₃C₂ = D₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₇₂⋊C₂	72	4	C72:C2:3C2	288,121
C₇₂⋊C₂⋊₄C₂ = Q₁₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₇₂⋊C₂	144	4	C72:C2:4C2	288,128
C₇₂⋊C₂⋊₅C₂ = SD₁₆×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₇₂⋊C₂	72	4	C72:C2:5C2	288,123
C₇₂⋊C₂⋊₆C₂ = SD₁₆⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out C₇₂⋊C₂	144	4	C72:C2:6C2	288,126
C₇₂⋊C₂⋊₇C₂ = D₇₂⋊₇C₂	φ: trivial image	144	2	C72:C2:7C2	288,115

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