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

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

		d	ρ	Label	ID
C₂×C₇₂		144		C2xC72	144,23

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₂⋊₁C₂ = D₇₂	φ: C₂/C₁ → C₂ ⊆ Aut C₇₂	72	2+	C72:1C2	144,8
C₇₂⋊₂C₂ = C₇₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₇₂	72	2	C72:2C2	144,7
C₇₂⋊₃C₂ = C₈×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₇₂	72	2	C72:3C2	144,5
C₇₂⋊₄C₂ = C₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₇₂	72	2	C72:4C2	144,6
C₇₂⋊₅C₂ = C₉×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇₂	72	2	C72:5C2	144,25
C₇₂⋊₆C₂ = C₉×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₇₂	72	2	C72:6C2	144,26
C₇₂⋊₇C₂ = C₉×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₇₂	72	2	C72:7C2	144,24

Non-split extensions G=N.Q with N=C₇₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₂.₁C₂ = Dic₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₇₂	144	2-	C72.1C2	144,4
C₇₂.₂C₂ = C₉⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₇₂	144	2	C72.2C2	144,1
C₇₂.₃C₂ = C₉×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₇₂	144	2	C72.3C2	144,27

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