Extensions 1→N→G→Q→1 with N=Q₈xHe₃ and Q=C₂

Direct product G=NxQ with N=Q₈xHe₃ and Q=C₂

		d	ρ	Label	ID
C₂xQ₈xHe₃		144		C2xQ8xHe3	432,407

Semidirect products G=N:Q with N=Q₈xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xHe₃):₁C₂ = He₃:₁₀SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xHe₃	72	12+	(Q8xHe3):1C2	432,161
(Q₈xHe₃):₂C₂ = He₃:₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xHe₃	72	6	(Q8xHe3):2C2	432,196
(Q₈xHe₃):₃C₂ = Q₈xC₃²:C₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xHe₃	72	12-	(Q8xHe3):3C2	432,368
(Q₈xHe₃):₄C₂ = (Q₈xHe₃):C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈xHe₃	72	12+	(Q8xHe3):4C2	432,369
(Q₈xHe₃):₅C₂ = Q₈xHe₃:C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈xHe₃	72	6	(Q8xHe3):5C2	432,394
(Q₈xHe₃):₆C₂ = He₃:₅D₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈xHe₃	72	6	(Q8xHe3):6C2	432,395
(Q₈xHe₃):₇C₂ = SD₁₆xHe₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xHe₃	72	6	(Q8xHe3):7C2	432,219
(Q₈xHe₃):₈C₂ = C₄oD₄xHe₃	φ: trivial image	72	6	(Q8xHe3):8C2	432,410

Non-split extensions G=N.Q with N=Q₈xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xHe₃).₁C₂ = He₃:₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xHe₃	144	12-	(Q8xHe3).1C2	432,160
(Q₈xHe₃).₂C₂ = He₃:₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xHe₃	144	6	(Q8xHe3).2C2	432,197
(Q₈xHe₃).₃C₂ = Q₁₆xHe₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xHe₃	144	6	(Q8xHe3).3C2	432,222

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