Extensions 1→N→G→Q→1 with N=D₃₆ and Q=C₄

Direct product G=N×Q with N=D₃₆ and Q=C₄

		d	ρ	Label	ID
C₄×D₃₆		144		C4xD36	288,83

Semidirect products G=N:Q with N=D₃₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆⋊₁C₄ = C₄²⋊₄D₉	φ: C₄/C₂ → C₂ ⊆ Out D₃₆	72	2	D36:1C4	288,12
D₃₆⋊₂C₄ = C₂.D₇₂	φ: C₄/C₂ → C₂ ⊆ Out D₃₆	144		D36:2C4	288,28
D₃₆⋊₃C₄ = C₁₈.D₈	φ: C₄/C₂ → C₂ ⊆ Out D₃₆	144		D36:3C4	288,17
D₃₆⋊₄C₄ = Dic₁₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₆	72	4	D36:4C4	288,32
D₃₆⋊₅C₄ = D₃₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₆	144		D36:5C4	288,103

Non-split extensions G=N.Q with N=D₃₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆.C₄ = D₃₆.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₆	144	4	D36.C4	288,117
D₃₆.₂C₄ = D₃₆.₂C₄	φ: trivial image	144	2	D36.2C4	288,112

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