Extensions 1→N→G→Q→1 with N=D₄:₂S₃ and Q=C₂²

Direct product G=NxQ with N=D₄:₂S₃ and Q=C₂²

		d	ρ	Label	ID
C₂²xD₄:₂S₃		96		C2^2xD4:2S3	192,1515

Semidirect products G=N:Q with N=D₄:₂S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₂S₃:₁C₂² = D₈:₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄:₂S₃	48	4	D4:2S3:1C2^2	192,1316
D₄:₂S₃:₂C₂² = D₈:₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄:₂S₃	48	4	D4:2S3:2C2^2	192,1329
D₄:₂S₃:₃C₂² = D₈:₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄:₂S₃	48	8+	D4:2S3:3C2^2	192,1333
D₄:₂S₃:₄C₂² = D₈:₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄:₂S₃	48	8-	D4:2S3:4C2^2	192,1334
D₄:₂S₃:₅C₂² = C₂xD₈:S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	48		D4:2S3:5C2^2	192,1314
D₄:₂S₃:₆C₂² = C₂xD₈:₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	96		D4:2S3:6C2^2	192,1315
D₄:₂S₃:₇C₂² = C₂xQ₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	96		D4:2S3:7C2^2	192,1320
D₄:₂S₃:₈C₂² = S₃xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	48	4	D4:2S3:8C2^2	192,1326
D₄:₂S₃:₉C₂² = S₃xC₈:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	24	8+	D4:2S3:9C2^2	192,1331
D₄:₂S₃:₁₀C₂² = D₈:₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	48	8-	D4:2S3:10C2^2	192,1332
D₄:₂S₃:₁₁C₂² = D₂₄:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	48	8+	D4:2S3:11C2^2	192,1336
D₄:₂S₃:₁₂C₂² = C₂xD₄:₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	48		D4:2S3:12C2^2	192,1516
D₄:₂S₃:₁₃C₂² = C₂xQ₈oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	96		D4:2S3:13C2^2	192,1522
D₄:₂S₃:₁₄C₂² = C₆.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	48	4	D4:2S3:14C2^2	192,1523
D₄:₂S₃:₁₅C₂² = S₃x2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	24	8+	D4:2S3:15C2^2	192,1524
D₄:₂S₃:₁₆C₂² = D₆.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	48	8-	D4:2S3:16C2^2	192,1525
D₄:₂S₃:₁₇C₂² = S₃x2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	48	8-	D4:2S3:17C2^2	192,1526
D₄:₂S₃:₁₈C₂² = C₂xS₃xC₄oD₄	φ: trivial image	48		D4:2S3:18C2^2	192,1520
D₄:₂S₃:₁₉C₂² = D₁₂.₃₉C₂³	φ: trivial image	48	8+	D4:2S3:19C2^2	192,1527

Non-split extensions G=N.Q with N=D₄:₂S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₂S₃.₁C₂² = SD₁₆:₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄:₂S₃	48	4	D4:2S3.1C2^2	192,1321
D₄:₂S₃.₂C₂² = D₈.₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄:₂S₃	96	4-	D4:2S3.2C2^2	192,1330
D₄:₂S₃.₃C₂² = SD₁₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄:₂S₃	96	8-	D4:2S3.3C2^2	192,1338
D₄:₂S₃.₄C₂² = C₂xD₄.D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	96		D4:2S3.4C2^2	192,1319
D₄:₂S₃.₅C₂² = SD₁₆:D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	48	4	D4:2S3.5C2^2	192,1327
D₄:₂S₃.₆C₂² = S₃xC₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄:₂S₃	48	8-	D4:2S3.6C2^2	192,1335

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