Extensions 1→N→G→Q→1 with N=C₂xS₃xQ₈ and Q=C₂

Direct product G=NxQ with N=C₂xS₃xQ₈ and Q=C₂

		d	ρ	Label	ID
C₂²xS₃xQ₈		96		C2^2xS3xQ8	192,1517

Semidirect products G=N:Q with N=C₂xS₃xQ₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₃xQ₈):₁C₂ = Q₈:₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):1C2	192,365
(C₂xS₃xQ₈):₂C₂ = D₆:₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):2C2	192,729
(C₂xS₃xQ₈):₃C₂ = Q₈xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):3C2	192,1134
(C₂xS₃xQ₈):₄C₂ = Q₈:₆D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):4C2	192,1135
(C₂xS₃xQ₈):₅C₂ = S₃xC₂²:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	48		(C2xS3xQ8):5C2	192,1185
(C₂xS₃xQ₈):₆C₂ = C₆.₁₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):6C2	192,1187
(C₂xS₃xQ₈):₇C₂ = Dic₆:₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):7C2	192,1191
(C₂xS₃xQ₈):₈C₂ = Dic₆:₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):8C2	192,1192
(C₂xS₃xQ₈):₉C₂ = S₃xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	48		(C2xS3xQ8):9C2	192,1232
(C₂xS₃xQ₈):₁₀C₂ = C₄².₁₄₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):10C2	192,1234
(C₂xS₃xQ₈):₁₁C₂ = Dic₆:₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):11C2	192,1236
(C₂xS₃xQ₈):₁₂C₂ = C₄².₁₇₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):12C2	192,1283
(C₂xS₃xQ₈):₁₃C₂ = D₁₂:₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):13C2	192,1286
(C₂xS₃xQ₈):₁₄C₂ = C₂xS₃xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	48		(C2xS3xQ8):14C2	192,1317
(C₂xS₃xQ₈):₁₅C₂ = C₂xD₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):15C2	192,1319
(C₂xS₃xQ₈):₁₆C₂ = C₂xQ₁₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):16C2	192,1323
(C₂xS₃xQ₈):₁₇C₂ = S₃xC₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	48	8-	(C2xS3xQ8):17C2	192,1335
(C₂xS₃xQ₈):₁₈C₂ = Q₈xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):18C2	192,1374
(C₂xS₃xQ₈):₁₉C₂ = C₆.₁₀₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):19C2	192,1390
(C₂xS₃xQ₈):₂₀C₂ = C₂xQ₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):20C2	192,1519
(C₂xS₃xQ₈):₂₁C₂ = C₂xQ₈oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8):21C2	192,1522
(C₂xS₃xQ₈):₂₂C₂ = S₃x2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	48	8-	(C2xS3xQ8):22C2	192,1526
(C₂xS₃xQ₈):₂₃C₂ = C₂xS₃xC₄oD₄	φ: trivial image	48		(C2xS3xQ8):23C2	192,1520

Non-split extensions G=N.Q with N=C₂xS₃xQ₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₃xQ₈).₁C₂ = S₃xC₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	48	8-	(C2xS3xQ8).1C2	192,309
(C₂xS₃xQ₈).₂C₂ = S₃xQ₈:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8).2C2	192,360
(C₂xS₃xQ₈).₃C₂ = (S₃xQ₈):C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8).3C2	192,361
(C₂xS₃xQ₈).₄C₂ = D₆:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8).4C2	192,368
(C₂xS₃xQ₈).₅C₂ = D₆:₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8).5C2	192,745
(C₂xS₃xQ₈).₆C₂ = C₄².₁₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8).6C2	192,1131
(C₂xS₃xQ₈).₇C₂ = S₃xC₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8).7C2	192,1282
(C₂xS₃xQ₈).₈C₂ = C₂xS₃xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xQ₈	96		(C2xS3xQ8).8C2	192,1322
(C₂xS₃xQ₈).₉C₂ = C₄xS₃xQ₈	φ: trivial image	96		(C2xS3xQ8).9C2	192,1130

Extensions 1→N→G→Q→1 with N=C2xS3xQ8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂xS₃xQ₈ and Q=C₂