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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×He₃)⋊₁C₂ = He₃⋊₁₀SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×He₃	72	12+	(Q8xHe3):1C2	432,161
(Q₈×He₃)⋊₂C₂ = He₃⋊₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×He₃	72	6	(Q8xHe3):2C2	432,196
(Q₈×He₃)⋊₃C₂ = Q₈×C₃²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×He₃	72	12-	(Q8xHe3):3C2	432,368
(Q₈×He₃)⋊₄C₂ = (Q₈×He₃)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×He₃	72	12+	(Q8xHe3):4C2	432,369
(Q₈×He₃)⋊₅C₂ = Q₈×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×He₃	72	6	(Q8xHe3):5C2	432,394
(Q₈×He₃)⋊₆C₂ = He₃⋊₅D₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×He₃	72	6	(Q8xHe3):6C2	432,395
(Q₈×He₃)⋊₇C₂ = SD₁₆×He₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×He₃	72	6	(Q8xHe3):7C2	432,219
(Q₈×He₃)⋊₈C₂ = C₄○D₄×He₃	φ: trivial image	72	6	(Q8xHe3):8C2	432,410

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

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×He₃).₁C₂ = He₃⋊₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×He₃	144	12-	(Q8xHe3).1C2	432,160
(Q₈×He₃).₂C₂ = He₃⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×He₃	144	6	(Q8xHe3).2C2	432,197
(Q₈×He₃).₃C₂ = Q₁₆×He₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×He₃	144	6	(Q8xHe3).3C2	432,222

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