Extensions 1→N→G→Q→1 with N=Q₈:₂S₃ and Q=C₂²

Direct product G=NxQ with N=Q₈:₂S₃ and Q=C₂²

		d	ρ	Label	ID
C₂²xQ₈:₂S₃		96		C2^2xQ8:2S3	192,1366

Semidirect products G=N:Q with N=Q₈:₂S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₂S₃:₁C₂² = SD₁₆:₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₂S₃	48	4	Q8:2S3:1C2^2	192,1321
Q₈:₂S₃:₂C₂² = D₈:₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₂S₃	48	4+	Q8:2S3:2C2^2	192,1328
Q₈:₂S₃:₃C₂² = D₈:₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₂S₃	48	4	Q8:2S3:3C2^2	192,1329
Q₈:₂S₃:₄C₂² = S₃xC₈:C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₂S₃	24	8+	Q8:2S3:4C2^2	192,1331
Q₈:₂S₃:₅C₂² = S₃xC₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₂S₃	48	8-	Q8:2S3:5C2^2	192,1335
Q₈:₂S₃:₆C₂² = D₂₄:C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₂S₃	48	8+	Q8:2S3:6C2^2	192,1336
Q₈:₂S₃:₇C₂² = C₂xS₃xSD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48		Q8:2S3:7C2^2	192,1317
Q₈:₂S₃:₈C₂² = C₂xQ₈:₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48		Q8:2S3:8C2^2	192,1318
Q₈:₂S₃:₉C₂² = C₂xQ₁₆:S₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	96		Q8:2S3:9C2^2	192,1323
Q₈:₂S₃:₁₀C₂² = C₂xD₂₄:C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	96		Q8:2S3:10C2^2	192,1324
Q₈:₂S₃:₁₁C₂² = S₃xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48	4	Q8:2S3:11C2^2	192,1326
Q₈:₂S₃:₁₂C₂² = SD₁₆:D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48	4	Q8:2S3:12C2^2	192,1327
Q₈:₂S₃:₁₃C₂² = D₈:₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48	8+	Q8:2S3:13C2^2	192,1333
Q₈:₂S₃:₁₄C₂² = D₈:₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48	8-	Q8:2S3:14C2^2	192,1334
Q₈:₂S₃:₁₅C₂² = C₂₄.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48	8+	Q8:2S3:15C2^2	192,1337
Q₈:₂S₃:₁₆C₂² = C₂xQ₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	96		Q8:2S3:16C2^2	192,1367
Q₈:₂S₃:₁₇C₂² = C₂xD₄:D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48		Q8:2S3:17C2^2	192,1379
Q₈:₂S₃:₁₈C₂² = C₁₂.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48	4	Q8:2S3:18C2^2	192,1381
Q₈:₂S₃:₁₉C₂² = D₁₂.₃₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48	8+	Q8:2S3:19C2^2	192,1394
Q₈:₂S₃:₂₀C₂² = D₁₂.₃₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	48	8+	Q8:2S3:20C2^2	192,1396
Q₈:₂S₃:₂₁C₂² = C₂xQ₈.₁₃D₆	φ: trivial image	96		Q8:2S3:21C2^2	192,1380
Q₈:₂S₃:₂₂C₂² = D₁₂.₃₃C₂³	φ: trivial image	48	8-	Q8:2S3:22C2^2	192,1395

Non-split extensions G=N.Q with N=Q₈:₂S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₂S₃.C₂² = D₁₂.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₂S₃	96	4	Q8:2S3.C2^2	192,1325
Q₈:₂S₃.₂C₂² = SD₁₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	96	8-	Q8:2S3.2C2^2	192,1338
Q₈:₂S₃.₃C₂² = D₁₂.₃₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₂S₃	96	8-	Q8:2S3.3C2^2	192,1397

Extensions 1→N→G→Q→1 with N=Q8:2S3 and Q=C22

Extensions 1→N→G→Q→1 with N=Q₈:₂S₃ and Q=C₂²