Extensions 1→N→G→Q→1 with N=He₃⋊C₂ and Q=D₄

Direct product G=N×Q with N=He₃⋊C₂ and Q=D₄

		d	ρ	Label	ID
D₄×He₃⋊C₂		36	6	D4xHe3:C2	432,390

Semidirect products G=N:Q with N=He₃⋊C₂ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂⋊D₄ = C₂×He₃⋊D₄	φ: D₄/C₂ → C₂² ⊆ Out He₃⋊C₂	36	6+	He3:C2:D4	432,530
He₃⋊C₂⋊₂D₄ = C₁₂.₈₆S₃²	φ: D₄/C₄ → C₂ ⊆ Out He₃⋊C₂	36	6+	He3:C2:2D4	432,302
He₃⋊C₂⋊₃D₄ = C₆²⋊₂D₆	φ: D₄/C₂² → C₂ ⊆ Out He₃⋊C₂	36	6	He3:C2:3D4	432,324

Non-split extensions G=N.Q with N=He₃⋊C₂ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂.D₄ = He₃⋊SD₁₆	φ: D₄/C₁ → D₄ ⊆ Out He₃⋊C₂	27	6+	He3:C2.D4	432,520
He₃⋊C₂.₂D₄ = C₂.SU₃(𝔽₂)	φ: D₄/C₂ → C₂² ⊆ Out He₃⋊C₂	72	3	He3:C2.2D4	432,239
He₃⋊C₂.₃D₄ = C₃²⋊D₆⋊C₄	φ: D₄/C₂ → C₂² ⊆ Out He₃⋊C₂	36	6	He3:C2.3D4	432,238
He₃⋊C₂.₄D₄ = C₄⋊(He₃⋊C₄)	φ: D₄/C₄ → C₂ ⊆ Out He₃⋊C₂	72	6	He3:C2.4D4	432,276
He₃⋊C₂.₅D₄ = C₂²⋊(He₃⋊C₄)	φ: D₄/C₂² → C₂ ⊆ Out He₃⋊C₂	36	6	He3:C2.5D4	432,279

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