Extensions 1→N→G→Q→1 with N=C₃×C₇₂ and Q=C₂

Direct product G=N×Q with N=C₃×C₇₂ and Q=C₂

		d	ρ	Label	ID
C₆×C₇₂		432		C6xC72	432,209

Semidirect products G=N:Q with N=C₃×C₇₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₇₂)⋊₁C₂ = S₃×C₇₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72):1C2	432,109
(C₃×C₇₂)⋊₂C₂ = C₃×D₇₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72):2C2	432,108
(C₃×C₇₂)⋊₃C₂ = C₇₂⋊₁S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	216		(C3xC72):3C2	432,172
(C₃×C₇₂)⋊₄C₂ = C₃×C₇₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72):4C2	432,107
(C₃×C₇₂)⋊₅C₂ = C₂₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	216		(C3xC72):5C2	432,171
(C₃×C₇₂)⋊₆C₂ = D₉×C₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72):6C2	432,105
(C₃×C₇₂)⋊₇C₂ = C₃×C₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72):7C2	432,106
(C₃×C₇₂)⋊₈C₂ = C₈×C₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	216		(C3xC72):8C2	432,169
(C₃×C₇₂)⋊₉C₂ = C₇₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	216		(C3xC72):9C2	432,170
(C₃×C₇₂)⋊₁₀C₂ = C₉×D₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72):10C2	432,112
(C₃×C₇₂)⋊₁₁C₂ = D₈×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	216		(C3xC72):11C2	432,215
(C₃×C₇₂)⋊₁₂C₂ = C₉×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72):12C2	432,111
(C₃×C₇₂)⋊₁₃C₂ = SD₁₆×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	216		(C3xC72):13C2	432,218
(C₃×C₇₂)⋊₁₄C₂ = C₉×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72):14C2	432,110
(C₃×C₇₂)⋊₁₅C₂ = M₄(2)×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	216		(C3xC72):15C2	432,212

Non-split extensions G=N.Q with N=C₃×C₇₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₇₂).₁C₂ = C₉×C₃⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72).1C2	432,29
(C₃×C₇₂).₂C₂ = C₃×Dic₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72).2C2	432,104
(C₃×C₇₂).₃C₂ = C₂₄.D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	432		(C3xC72).3C2	432,168
(C₃×C₇₂).₄C₂ = C₃×C₉⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72).4C2	432,28
(C₃×C₇₂).₅C₂ = C₇₂.S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	432		(C3xC72).5C2	432,32
(C₃×C₇₂).₆C₂ = C₉×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	144	2	(C3xC72).6C2	432,113
(C₃×C₇₂).₇C₂ = Q₁₆×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₂	432		(C3xC72).7C2	432,221

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