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

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

		d	ρ	Label	ID
C₂²×C₇₂		288		C2^2xC72	288,179

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₇₂)⋊₁C₂ = D₁₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):1C2	288,27
(C₂×C₇₂)⋊₂C₂ = C₂.D₇₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):2C2	288,28
(C₂×C₇₂)⋊₃C₂ = C₉×C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):3C2	288,48
(C₂×C₇₂)⋊₄C₂ = C₉×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):4C2	288,52
(C₂×C₇₂)⋊₅C₂ = C₂×D₇₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):5C2	288,114
(C₂×C₇₂)⋊₆C₂ = D₇₂⋊₇C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144	2	(C2xC72):6C2	288,115
(C₂×C₇₂)⋊₇C₂ = C₂×C₇₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):7C2	288,113
(C₂×C₇₂)⋊₈C₂ = C₂×C₈×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):8C2	288,110
(C₂×C₇₂)⋊₉C₂ = C₂×C₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):9C2	288,111
(C₂×C₇₂)⋊₁₀C₂ = D₃₆.₂C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144	2	(C2xC72):10C2	288,112
(C₂×C₇₂)⋊₁₁C₂ = D₈×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):11C2	288,182
(C₂×C₇₂)⋊₁₂C₂ = C₉×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144	2	(C2xC72):12C2	288,185
(C₂×C₇₂)⋊₁₃C₂ = SD₁₆×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):13C2	288,183
(C₂×C₇₂)⋊₁₄C₂ = M₄(2)×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144		(C2xC72):14C2	288,180
(C₂×C₇₂)⋊₁₅C₂ = C₉×C₈○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144	2	(C2xC72):15C2	288,181

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₇₂).₁C₂ = Dic₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).1C2	288,22
(C₂×C₇₂).₂C₂ = C₃₆.₄₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).2C2	288,24
(C₂×C₇₂).₃C₂ = C₉×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).3C2	288,53
(C₂×C₇₂).₄C₂ = C₉×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).4C2	288,55
(C₂×C₇₂).₅C₂ = C₇₂⋊₁C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).5C2	288,26
(C₂×C₇₂).₆C₂ = C₂×Dic₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).6C2	288,109
(C₂×C₇₂).₇C₂ = C₇₂.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144	2	(C2xC72).7C2	288,20
(C₂×C₇₂).₈C₂ = C₈⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).8C2	288,25
(C₂×C₇₂).₉C₂ = C₂×C₉⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).9C2	288,18
(C₂×C₇₂).₁₀C₂ = C₃₆.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144	2	(C2xC72).10C2	288,19
(C₂×C₇₂).₁₁C₂ = C₈×Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).11C2	288,21
(C₂×C₇₂).₁₂C₂ = C₇₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).12C2	288,23
(C₂×C₇₂).₁₃C₂ = C₉×C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).13C2	288,57
(C₂×C₇₂).₁₄C₂ = Q₁₆×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).14C2	288,184
(C₂×C₇₂).₁₅C₂ = C₉×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144	2	(C2xC72).15C2	288,58
(C₂×C₇₂).₁₆C₂ = C₉×C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).16C2	288,56
(C₂×C₇₂).₁₇C₂ = C₉×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	288		(C2xC72).17C2	288,47
(C₂×C₇₂).₁₈C₂ = C₉×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₂	144	2	(C2xC72).18C2	288,60

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