Extensions 1→N→G→Q→1 with N=Q₈:₃S₃ and Q=C₂²

Direct product G=NxQ with N=Q₈:₃S₃ and Q=C₂²

		d	ρ	Label	ID
C₂²xQ₈:₃S₃		96		C2^2xQ8:3S3	192,1518

Semidirect products G=N:Q with N=Q₈:₃S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₃S₃:₁C₂² = SD₁₆:₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₃S₃	48	4	Q8:3S3:1C2^2	192,1321
Q₈:₃S₃:₂C₂² = D₈:₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₃S₃	48	4+	Q8:3S3:2C2^2	192,1328
Q₈:₃S₃:₃C₂² = D₈:₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₃S₃	48	8+	Q8:3S3:3C2^2	192,1333
Q₈:₃S₃:₄C₂² = C₂₄.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₃S₃	48	8+	Q8:3S3:4C2^2	192,1337
Q₈:₃S₃:₅C₂² = C₂xQ₈:₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	48		Q8:3S3:5C2^2	192,1318
Q₈:₃S₃:₆C₂² = C₂xQ₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	96		Q8:3S3:6C2^2	192,1320
Q₈:₃S₃:₇C₂² = C₂xD₂₄:C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	96		Q8:3S3:7C2^2	192,1324
Q₈:₃S₃:₈C₂² = S₃xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	48	4	Q8:3S3:8C2^2	192,1326
Q₈:₃S₃:₉C₂² = S₃xC₈:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	24	8+	Q8:3S3:9C2^2	192,1331
Q₈:₃S₃:₁₀C₂² = D₈:₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	48	8-	Q8:3S3:10C2^2	192,1332
Q₈:₃S₃:₁₁C₂² = D₂₄:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	48	8+	Q8:3S3:11C2^2	192,1336
Q₈:₃S₃:₁₂C₂² = C₂xQ₈.₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	96		Q8:3S3:12C2^2	192,1519
Q₈:₃S₃:₁₃C₂² = C₂xD₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	48		Q8:3S3:13C2^2	192,1521
Q₈:₃S₃:₁₄C₂² = C₆.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	48	4	Q8:3S3:14C2^2	192,1523
Q₈:₃S₃:₁₅C₂² = S₃x2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	24	8+	Q8:3S3:15C2^2	192,1524
Q₈:₃S₃:₁₆C₂² = S₃x2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	48	8-	Q8:3S3:16C2^2	192,1526
Q₈:₃S₃:₁₇C₂² = D₁₂.₃₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	48	8+	Q8:3S3:17C2^2	192,1527
Q₈:₃S₃:₁₈C₂² = C₂xS₃xC₄oD₄	φ: trivial image	48		Q8:3S3:18C2^2	192,1520
Q₈:₃S₃:₁₉C₂² = D₆.C₂⁴	φ: trivial image	48	8-	Q8:3S3:19C2^2	192,1525

Non-split extensions G=N.Q with N=Q₈:₃S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₃S₃.₁C₂² = D₁₂.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₃S₃	96	4	Q8:3S3.1C2^2	192,1325
Q₈:₃S₃.₂C₂² = D₈:₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₃S₃	48	4	Q8:3S3.2C2^2	192,1329
Q₈:₃S₃.₃C₂² = SD₁₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈:₃S₃	96	8-	Q8:3S3.3C2^2	192,1338
Q₈:₃S₃.₄C₂² = C₂xQ₁₆:S₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	96		Q8:3S3.4C2^2	192,1323
Q₈:₃S₃.₅C₂² = SD₁₆:D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	48	4	Q8:3S3.5C2^2	192,1327
Q₈:₃S₃.₆C₂² = S₃xC₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈:₃S₃	48	8-	Q8:3S3.6C2^2	192,1335

׿

x

:

Z

F

o

wr

Q

<