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

Direct product G=N×Q with N=D₄⋊₂S₃ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₄⋊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 = C₂×D₈⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂S₃	48		D4:2S3:5C2^2	192,1314
D₄⋊₂S₃⋊₆C₂² = C₂×D₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂S₃	96		D4:2S3:6C2^2	192,1315
D₄⋊₂S₃⋊₇C₂² = C₂×Q₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂S₃	96		D4:2S3:7C2^2	192,1320
D₄⋊₂S₃⋊₈C₂² = S₃×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂S₃	48	4	D4:2S3:8C2^2	192,1326
D₄⋊₂S₃⋊₉C₂² = S₃×C₈⋊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 = C₂×D₄⋊₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂S₃	48		D4:2S3:12C2^2	192,1516
D₄⋊₂S₃⋊₁₃C₂² = C₂×Q₈○D₁₂	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 = S₃×2₊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 = S₃×2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂S₃	48	8-	D4:2S3:17C2^2	192,1526
D₄⋊₂S₃⋊₁₈C₂² = C₂×S₃×C₄○D₄	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 = C₂×D₄.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 = S₃×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂S₃	48	8-	D4:2S3.6C2^2	192,1335

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