Extensions 1→N→G→Q→1 with N=C₃×D₃₆ and Q=C₂

Direct product G=N×Q with N=C₃×D₃₆ and Q=C₂

		d	ρ	Label	ID
C₆×D₃₆		144		C6xD36	432,343

Semidirect products G=N:Q with N=C₃×D₃₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₃₆)⋊₁C₂ = C₃⋊D₇₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	72	4+	(C3xD36):1C2	432,64
(C₃×D₃₆)⋊₂C₂ = C₃×D₇₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	144	2	(C3xD36):2C2	432,108
(C₃×D₃₆)⋊₃C₂ = D₃₆⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	144	4-	(C3xD36):3C2	432,288
(C₃×D₃₆)⋊₄C₂ = S₃×D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	72	4+	(C3xD36):4C2	432,291
(C₃×D₃₆)⋊₅C₂ = D₃₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	144	4	(C3xD36):5C2	432,68
(C₃×D₃₆)⋊₆C₂ = C₃×D₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	72	4	(C3xD36):6C2	432,149
(C₃×D₃₆)⋊₇C₂ = D₁₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	72	4	(C3xD36):7C2	432,281
(C₃×D₃₆)⋊₈C₂ = C₃₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	72	4	(C3xD36):8C2	432,293
(C₃×D₃₆)⋊₉C₂ = C₃×D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	72	4	(C3xD36):9C2	432,356
(C₃×D₃₆)⋊₁₀C₂ = C₃×Q₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	144	4	(C3xD36):10C2	432,365
(C₃×D₃₆)⋊₁₁C₂ = C₃×D₃₆⋊₅C₂	φ: trivial image	72	2	(C3xD36):11C2	432,344

Non-split extensions G=N.Q with N=C₃×D₃₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₃₆).₁C₂ = D₃₆.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	144	4-	(C3xD36).1C2	432,62
(C₃×D₃₆).₂C₂ = C₃×C₇₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	144	2	(C3xD36).2C2	432,107
(C₃×D₃₆).₃C₂ = Dic₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	144	4	(C3xD36).3C2	432,72
(C₃×D₃₆).₄C₂ = C₃×Q₈⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₃₆	144	4	(C3xD36).4C2	432,157

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