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

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

		d	ρ	Label	ID
C₂²×D₄⋊S₃		96		C2^2xD4:S3	192,1351

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊S₃⋊₁C₂² = D₈⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊S₃	48	4	D4:S3:1C2^2	192,1316
D₄⋊S₃⋊₂C₂² = SD₁₆⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊S₃	48	4	D4:S3:2C2^2	192,1321
D₄⋊S₃⋊₃C₂² = D₈⋊₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊S₃	48	4+	D4:S3:3C2^2	192,1328
D₄⋊S₃⋊₄C₂² = D₈⋊₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊S₃	48	4	D4:S3:4C2^2	192,1329
D₄⋊S₃⋊₅C₂² = S₃×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊S₃	24	8+	D4:S3:5C2^2	192,1331
D₄⋊S₃⋊₆C₂² = D₈⋊₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊S₃	48	8-	D4:S3:6C2^2	192,1332
D₄⋊S₃⋊₇C₂² = D₂₄⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊S₃	48	8+	D4:S3:7C2^2	192,1336
D₄⋊S₃⋊₈C₂² = C₂×S₃×D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48		D4:S3:8C2^2	192,1313
D₄⋊S₃⋊₉C₂² = C₂×D₈⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48		D4:S3:9C2^2	192,1314
D₄⋊S₃⋊₁₀C₂² = C₂×Q₈⋊₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48		D4:S3:10C2^2	192,1318
D₄⋊S₃⋊₁₁C₂² = C₂×Q₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	96		D4:S3:11C2^2	192,1320
D₄⋊S₃⋊₁₂C₂² = S₃×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48	4	D4:S3:12C2^2	192,1326
D₄⋊S₃⋊₁₃C₂² = SD₁₆⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48	4	D4:S3:13C2^2	192,1327
D₄⋊S₃⋊₁₄C₂² = D₈⋊₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48	8+	D4:S3:14C2^2	192,1333
D₄⋊S₃⋊₁₅C₂² = D₈⋊₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48	8-	D4:S3:15C2^2	192,1334
D₄⋊S₃⋊₁₆C₂² = C₂₄.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48	8+	D4:S3:16C2^2	192,1337
D₄⋊S₃⋊₁₇C₂² = C₂×D₁₂⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48		D4:S3:17C2^2	192,1352
D₄⋊S₃⋊₁₈C₂² = C₂×D₄⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48		D4:S3:18C2^2	192,1379
D₄⋊S₃⋊₁₉C₂² = C₁₂.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48	4	D4:S3:19C2^2	192,1381
D₄⋊S₃⋊₂₀C₂² = D₁₂.₃₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48	8+	D4:S3:20C2^2	192,1394
D₄⋊S₃⋊₂₁C₂² = D₁₂.₃₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48	8-	D4:S3:21C2^2	192,1395
D₄⋊S₃⋊₂₂C₂² = D₁₂.₃₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	48	8+	D4:S3:22C2^2	192,1396
D₄⋊S₃⋊₂₃C₂² = C₂×Q₈.₁₃D₆	φ: trivial image	96		D4:S3:23C2^2	192,1380

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊S₃.C₂² = SD₁₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊S₃	96	8-	D4:S3.C2^2	192,1338
D₄⋊S₃.₂C₂² = D₁₂.₃₅C₂³	φ: trivial image	96	8-	D4:S3.2C2^2	192,1397

⋊

ℤ

𝔽

○

≀

ℚ

◁

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

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