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

Direct product G=N×Q with N=Q₈⋊₃S₃ and Q=C₂²

		d	ρ	Label	ID
C₂²×Q₈⋊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 = C₂×Q₈⋊₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	48		Q8:3S3:5C2^2	192,1318
Q₈⋊₃S₃⋊₆C₂² = C₂×Q₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	96		Q8:3S3:6C2^2	192,1320
Q₈⋊₃S₃⋊₇C₂² = C₂×D₂₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	96		Q8:3S3:7C2^2	192,1324
Q₈⋊₃S₃⋊₈C₂² = S₃×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:8C2^2	192,1326
Q₈⋊₃S₃⋊₉C₂² = S₃×C₈⋊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 = C₂×Q₈.₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	96		Q8:3S3:12C2^2	192,1519
Q₈⋊₃S₃⋊₁₃C₂² = C₂×D₄○D₁₂	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 = S₃×2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	24	8+	Q8:3S3:15C2^2	192,1524
Q₈⋊₃S₃⋊₁₆C₂² = S₃×2_-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 = C₂×S₃×C₄○D₄	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 = C₂×Q₁₆⋊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 = S₃×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₃S₃	48	8-	Q8:3S3.6C2^2	192,1335

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