Extensions 1→N→G→Q→1 with N=C₃₆ and Q=Q₈

Direct product G=N×Q with N=C₃₆ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₃₆		288		Q8xC36	288,169

Semidirect products G=N:Q with N=C₃₆ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆⋊Q₈ = C₃₆⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃₆	288		C36:Q8	288,98
C₃₆⋊₂Q₈ = C₃₆⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36:2Q8	288,79
C₃₆⋊₃Q₈ = C₄×Dic₁₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36:3Q8	288,78
C₃₆⋊₄Q₈ = C₉×C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36:4Q8	288,178

Non-split extensions G=N.Q with N=C₃₆ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁Q₈ = C₃₆.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃₆	288		C36.1Q8	288,14
C₃₆.₂Q₈ = C₄.Dic₁₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃₆	288		C36.2Q8	288,15
C₃₆.₃Q₈ = C₃₆.₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃₆	288		C36.3Q8	288,100
C₃₆.₄Q₈ = C₈⋊Dic₉	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36.4Q8	288,25
C₃₆.₅Q₈ = C₇₂⋊₁C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36.5Q8	288,26
C₃₆.₆Q₈ = C₃₆.₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36.6Q8	288,80
C₃₆.₇Q₈ = C₃₆⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36.7Q8	288,11
C₃₆.₈Q₈ = Dic₉⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36.8Q8	288,22
C₃₆.₉Q₈ = C₉×C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36.9Q8	288,56
C₃₆.₁₀Q₈ = C₉×C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36.10Q8	288,57
C₃₆.₁₁Q₈ = C₉×C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₆	288		C36.11Q8	288,175
C₃₆.₁₂Q₈ = C₉×C₄⋊C₈	central extension (φ=1)	288		C36.12Q8	288,55

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