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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(He₃⋊C₂) = He₃⋊₇D₈	φ: He₃⋊C₂/He₃ → C₂ ⊆ Out D₄	72	6	D4:(He3:C2)	432,192
D₄⋊₂(He₃⋊C₂) = C₆².₁₆D₆	φ: trivial image	72	6	D4:2(He3:C2)	432,391

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(He₃⋊C₂) = He₃⋊₉SD₁₆	φ: He₃⋊C₂/He₃ → C₂ ⊆ Out D₄	72	6	D4.(He3:C2)	432,193

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