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

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

		d	ρ	Label	ID
C₂×D₄×He₃		72		C2xD4xHe3	432,404

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₂×He₃) = D₈×He₃	φ: C₂×He₃/He₃ → C₂ ⊆ Out D₄	72	6	D4:(C2xHe3)	432,216
D₄⋊₂(C₂×He₃) = C₄○D₄×He₃	φ: trivial image	72	6	D4:2(C2xHe3)	432,410

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₂×He₃) = SD₁₆×He₃	φ: C₂×He₃/He₃ → C₂ ⊆ Out D₄	72	6	D4.(C2xHe3)	432,219

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