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

Direct product G=N×Q with N=Q₈⋊₂S₃ and Q=C₂²

		d	ρ	Label	ID
C₂²×Q₈⋊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 = S₃×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂S₃	24	8+	Q8:2S3:4C2^2	192,1331
Q₈⋊₂S₃⋊₅C₂² = S₃×C₈.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 = C₂×S₃×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂S₃	48		Q8:2S3:7C2^2	192,1317
Q₈⋊₂S₃⋊₈C₂² = C₂×Q₈⋊₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂S₃	48		Q8:2S3:8C2^2	192,1318
Q₈⋊₂S₃⋊₉C₂² = C₂×Q₁₆⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂S₃	96		Q8:2S3:9C2^2	192,1323
Q₈⋊₂S₃⋊₁₀C₂² = C₂×D₂₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂S₃	96		Q8:2S3:10C2^2	192,1324
Q₈⋊₂S₃⋊₁₁C₂² = S₃×C₄○D₈	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 = C₂×Q₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂S₃	96		Q8:2S3:16C2^2	192,1367
Q₈⋊₂S₃⋊₁₇C₂² = C₂×D₄⋊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 = C₂×Q₈.₁₃D₆	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

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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