Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×He₃

Direct product G=N×Q with N=Q₈ and Q=C₂×He₃

		d	ρ	Label	ID
C₂×Q₈×He₃		144		C2xQ8xHe3	432,407

Semidirect products G=N:Q with N=Q₈ and Q=C₂×He₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₂×He₃) = C₂×Q₈⋊He₃	φ: C₂×He₃/C₃×C₆ → C₃ ⊆ Out Q₈	144		Q8:(C2xHe3)	432,336
Q₈⋊₂(C₂×He₃) = SD₁₆×He₃	φ: C₂×He₃/He₃ → C₂ ⊆ Out Q₈	72	6	Q8:2(C2xHe3)	432,219
Q₈⋊₃(C₂×He₃) = C₄○D₄×He₃	φ: trivial image	72	6	Q8:3(C2xHe3)	432,410

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×He₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₂×He₃) = C₄○D₄⋊He₃	φ: C₂×He₃/C₃×C₆ → C₃ ⊆ Out Q₈	72	6	Q8.(C2xHe3)	432,339
Q₈.₂(C₂×He₃) = Q₁₆×He₃	φ: C₂×He₃/He₃ → C₂ ⊆ Out Q₈	144	6	Q8.2(C2xHe3)	432,222

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×He3