Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₂³

Direct product G=N×Q with N=Dic₆ and Q=C₂³

		d	ρ	Label	ID
C₂³×Dic₆		192		C2^3xDic6	192,1510

Semidirect products G=N:Q with N=Dic₆ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁C₂³ = C₂×D₈⋊S₃	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48		Dic6:1C2^3	192,1314
Dic₆⋊₂C₂³ = C₂×S₃×SD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48		Dic6:2C2^3	192,1317
Dic₆⋊₃C₂³ = S₃×C₈⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	24	8+	Dic6:3C2^3	192,1331
Dic₆⋊₄C₂³ = C₂²×C₂₄⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6:4C2^3	192,1298
Dic₆⋊₅C₂³ = C₂×C₈⋊D₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48		Dic6:5C2^3	192,1305
Dic₆⋊₆C₂³ = C₂×D₁₂⋊₆C₂²	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48		Dic6:6C2^3	192,1352
Dic₆⋊₇C₂³ = C₂²×D₄.S₃	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6:7C2^3	192,1353
Dic₆⋊₈C₂³ = C₂²×D₄⋊₂S₃	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6:8C2^3	192,1515
Dic₆⋊₉C₂³ = C₂×D₄⋊₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48		Dic6:9C2^3	192,1516
Dic₆⋊₁₀C₂³ = C₂²×S₃×Q₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6:10C2^3	192,1517
Dic₆⋊₁₁C₂³ = C₂×S₃×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48		Dic6:11C2^3	192,1520
Dic₆⋊₁₂C₂³ = S₃×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	24	8+	Dic6:12C2^3	192,1524
Dic₆⋊₁₃C₂³ = C₂²×C₄○D₁₂	φ: trivial image	96		Dic6:13C2^3	192,1513
Dic₆⋊₁₄C₂³ = C₂×D₄○D₁₂	φ: trivial image	48		Dic6:14C2^3	192,1521

Non-split extensions G=N.Q with N=Dic₆ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁C₂³ = C₂×D₈⋊₃S₃	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	96		Dic6.1C2^3	192,1315
Dic₆.₂C₂³ = D₈⋊₁₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	4	Dic6.2C2^3	192,1316
Dic₆.₃C₂³ = C₂×D₄.D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	96		Dic6.3C2^3	192,1319
Dic₆.₄C₂³ = C₂×Q₈.₇D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	96		Dic6.4C2^3	192,1320
Dic₆.₅C₂³ = SD₁₆⋊₁₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	4	Dic6.5C2^3	192,1321
Dic₆.₆C₂³ = C₂×S₃×Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	96		Dic6.6C2^3	192,1322
Dic₆.₇C₂³ = C₂×Q₁₆⋊S₃	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	96		Dic6.7C2^3	192,1323
Dic₆.₈C₂³ = D₁₂.₃₀D₄	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	96	4	Dic6.8C2^3	192,1325
Dic₆.₉C₂³ = S₃×C₄○D₈	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	4	Dic6.9C2^3	192,1326
Dic₆.₁₀C₂³ = SD₁₆⋊D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	4	Dic6.10C2^3	192,1327
Dic₆.₁₁C₂³ = D₈⋊₁₁D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	4	Dic6.11C2^3	192,1329
Dic₆.₁₂C₂³ = D₈.₁₀D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	96	4-	Dic6.12C2^3	192,1330
Dic₆.₁₃C₂³ = D₈⋊₄D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	8-	Dic6.13C2^3	192,1332
Dic₆.₁₄C₂³ = D₈⋊₅D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	8+	Dic6.14C2^3	192,1333
Dic₆.₁₅C₂³ = D₈⋊₆D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	8-	Dic6.15C2^3	192,1334
Dic₆.₁₆C₂³ = S₃×C₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	8-	Dic6.16C2^3	192,1335
Dic₆.₁₇C₂³ = D₂₄⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	8+	Dic6.17C2^3	192,1336
Dic₆.₁₈C₂³ = C₂₄.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	48	8+	Dic6.18C2^3	192,1337
Dic₆.₁₉C₂³ = SD₁₆.D₆	φ: C₂³/C₂ → C₂² ⊆ Out Dic₆	96	8-	Dic6.19C2^3	192,1338
Dic₆.₂₀C₂³ = C₂×C₄○D₂₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6.20C2^3	192,1300
Dic₆.₂₁C₂³ = C₂²×Dic₁₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	192		Dic6.21C2^3	192,1301
Dic₆.₂₂C₂³ = C₂×C₈.D₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6.22C2^3	192,1306
Dic₆.₂₃C₂³ = C₂₄.₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48	4	Dic6.23C2^3	192,1307
Dic₆.₂₄C₂³ = D₄.₁₁D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48	4	Dic6.24C2^3	192,1310
Dic₆.₂₅C₂³ = D₄.₁₂D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48	4+	Dic6.25C2^3	192,1311
Dic₆.₂₆C₂³ = D₄.₁₃D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96	4-	Dic6.26C2^3	192,1312
Dic₆.₂₇C₂³ = C₂×Q₈.₁₁D₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6.27C2^3	192,1367
Dic₆.₂₈C₂³ = C₂²×C₃⋊Q₁₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	192		Dic6.28C2^3	192,1368
Dic₆.₂₉C₂³ = C₂×Q₈.₁₃D₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6.29C2^3	192,1380
Dic₆.₃₀C₂³ = C₁₂.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48	4	Dic6.30C2^3	192,1381
Dic₆.₃₁C₂³ = C₂×Q₈.₁₄D₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6.31C2^3	192,1382
Dic₆.₃₂C₂³ = D₁₂.₃₂C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48	8+	Dic6.32C2^3	192,1394
Dic₆.₃₃C₂³ = D₁₂.₃₃C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48	8-	Dic6.33C2^3	192,1395
Dic₆.₃₄C₂³ = D₁₂.₃₄C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48	8+	Dic6.34C2^3	192,1396
Dic₆.₃₅C₂³ = D₁₂.₃₅C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96	8-	Dic6.35C2^3	192,1397
Dic₆.₃₆C₂³ = C₂×Q₈.₁₅D₆	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6.36C2^3	192,1519
Dic₆.₃₇C₂³ = C₂×Q₈○D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	96		Dic6.37C2^3	192,1522
Dic₆.₃₈C₂³ = D₆.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48	8-	Dic6.38C2^3	192,1525
Dic₆.₃₉C₂³ = S₃×2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48	8-	Dic6.39C2^3	192,1526
Dic₆.₄₀C₂³ = D₁₂.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out Dic₆	48	8+	Dic6.40C2^3	192,1527
Dic₆.₄₁C₂³ = C₆.C₂⁵	φ: trivial image	48	4	Dic6.41C2^3	192,1523

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Extensions 1→N→G→Q→1 with N=Dic6 and Q=C23

Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₂³