Extensions 1→N→G→Q→1 with N=C₄○D₁₂ and Q=C₂²

Direct product G=N×Q with N=C₄○D₁₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₄○D₁₂		96		C2^2xC4oD12	192,1513

Semidirect products G=N:Q with N=C₄○D₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂⋊₁C₂² = D₄.₁₁D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12:1C2^2	192,1310
C₄○D₁₂⋊₂C₂² = D₄.₁₂D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4+	C4oD12:2C2^2	192,1311
C₄○D₁₂⋊₃C₂² = D₈⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12:3C2^2	192,1316
C₄○D₁₂⋊₄C₂² = SD₁₆⋊₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12:4C2^2	192,1321
C₄○D₁₂⋊₅C₂² = S₃×C₄○D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12:5C2^2	192,1326
C₄○D₁₂⋊₆C₂² = SD₁₆⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12:6C2^2	192,1327
C₄○D₁₂⋊₇C₂² = S₃×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	24	8+	C4oD12:7C2^2	192,1331
C₄○D₁₂⋊₈C₂² = D₈⋊₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8+	C4oD12:8C2^2	192,1333
C₄○D₁₂⋊₉C₂² = C₂₄.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8+	C4oD12:9C2^2	192,1337
C₄○D₁₂⋊₁₀C₂² = D₁₂.₃₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8+	C4oD12:10C2^2	192,1394
C₄○D₁₂⋊₁₁C₂² = D₁₂.₃₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12:11C2^2	192,1395
C₄○D₁₂⋊₁₂C₂² = S₃×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	24	8+	C4oD12:12C2^2	192,1524
C₄○D₁₂⋊₁₃C₂² = D₆.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12:13C2^2	192,1525
C₄○D₁₂⋊₁₄C₂² = S₃×2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12:14C2^2	192,1526
C₄○D₁₂⋊₁₅C₂² = D₁₂.₃₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8+	C4oD12:15C2^2	192,1527
C₄○D₁₂⋊₁₆C₂² = C₂×C₄○D₂₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:16C2^2	192,1300
C₄○D₁₂⋊₁₇C₂² = C₂₄.₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:17C2^2	192,1307
C₄○D₁₂⋊₁₈C₂² = C₂×C₈⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48		C4oD12:18C2^2	192,1305
C₄○D₁₂⋊₁₉C₂² = C₂×D₁₂⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48		C4oD12:19C2^2	192,1352
C₄○D₁₂⋊₂₀C₂² = C₂×Q₈.₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:20C2^2	192,1380
C₄○D₁₂⋊₂₁C₂² = C₁₂.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:21C2^2	192,1381
C₄○D₁₂⋊₂₂C₂² = C₂×D₄⋊₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48		C4oD12:22C2^2	192,1516
C₄○D₁₂⋊₂₃C₂² = C₂×Q₈.₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:23C2^2	192,1519
C₄○D₁₂⋊₂₄C₂² = C₂×S₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48		C4oD12:24C2^2	192,1520
C₄○D₁₂⋊₂₅C₂² = C₂×D₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48		C4oD12:25C2^2	192,1521
C₄○D₁₂⋊₂₆C₂² = C₂×Q₈○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12:26C2^2	192,1522
C₄○D₁₂⋊₂₇C₂² = C₆.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12:27C2^2	192,1523

Non-split extensions G=N.Q with N=C₄○D₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂.₁C₂² = M₄(2)⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12.1C2^2	192,305
C₄○D₁₂.₂C₂² = D₁₂⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	24	8+	C4oD12.2C2^2	192,306
C₄○D₁₂.₃C₂² = D₁₂.₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12.3C2^2	192,307
C₄○D₁₂.₄C₂² = D₁₂.₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8+	C4oD12.4C2^2	192,308
C₄○D₁₂.₅C₂² = D₁₂.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12.5C2^2	192,311
C₄○D₁₂.₆C₂² = D₁₂.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8+	C4oD12.6C2^2	192,312
C₄○D₁₂.₇C₂² = D₁₂.₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8+	C4oD12.7C2^2	192,313
C₄○D₁₂.₈C₂² = D₁₂.₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	96	8-	C4oD12.8C2^2	192,314
C₄○D₁₂.₉C₂² = S₃×C₄≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	24	4	C4oD12.9C2^2	192,379
C₄○D₁₂.₁₀C₂² = C₄²⋊₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12.10C2^2	192,380
C₄○D₁₂.₁₁C₂² = Q₈⋊₅D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	24	4+	C4oD12.11C2^2	192,381
C₄○D₁₂.₁₂C₂² = M₄(2).₂₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12.12C2^2	192,382
C₄○D₁₂.₁₃C₂² = C₄².₁₉₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12.13C2^2	192,383
C₄○D₁₂.₁₄C₂² = C₄²⋊₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12.14C2^2	192,384
C₄○D₁₂.₁₅C₂² = Q₈.₁₄D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4-	C4oD12.15C2^2	192,385
C₄○D₁₂.₁₆C₂² = D₄.₁₀D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12.16C2^2	192,386
C₄○D₁₂.₁₇C₂² = D₂₄⋊₁₀C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12.17C2^2	192,453
C₄○D₁₂.₁₈C₂² = D₂₄⋊₇C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12.18C2^2	192,454
C₄○D₁₂.₁₉C₂² = C₄²⋊₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12.19C2^2	192,620
C₄○D₁₂.₂₀C₂² = D₁₂.₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12.20C2^2	192,621
C₄○D₁₂.₂₁C₂² = C₄²⋊₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	24	4	C4oD12.21C2^2	192,636
C₄○D₁₂.₂₂C₂² = D₁₂.₁₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	4	C4oD12.22C2^2	192,654
C₄○D₁₂.₂₃C₂² = D₁₂⋊₁₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	24	8+	C4oD12.23C2^2	192,757
C₄○D₁₂.₂₄C₂² = D₁₂.₃₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12.24C2^2	192,760
C₄○D₁₂.₂₅C₂² = D₁₂.₃₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8+	C4oD12.25C2^2	192,761
C₄○D₁₂.₂₆C₂² = D₁₂.₄₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12.26C2^2	192,764
C₄○D₁₂.₂₇C₂² = D₄.₁₃D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	96	4-	C4oD12.27C2^2	192,1312
C₄○D₁₂.₂₈C₂² = D₈⋊₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12.28C2^2	192,1332
C₄○D₁₂.₂₉C₂² = D₈⋊₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12.29C2^2	192,1334
C₄○D₁₂.₃₀C₂² = S₃×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8-	C4oD12.30C2^2	192,1335
C₄○D₁₂.₃₁C₂² = D₂₄⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8+	C4oD12.31C2^2	192,1336
C₄○D₁₂.₃₂C₂² = SD₁₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	96	8-	C4oD12.32C2^2	192,1338
C₄○D₁₂.₃₃C₂² = D₁₂.₃₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	48	8+	C4oD12.33C2^2	192,1396
C₄○D₁₂.₃₄C₂² = D₁₂.₃₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄○D₁₂	96	8-	C4oD12.34C2^2	192,1397
C₄○D₁₂.₃₅C₂² = D₂₄⋊₁₁C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	2	C4oD12.35C2^2	192,259
C₄○D₁₂.₃₆C₂² = D₂₄⋊₄C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.36C2^2	192,276
C₄○D₁₂.₃₇C₂² = C₂×C₄²⋊₄S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48		C4oD12.37C2^2	192,486
C₄○D₁₂.₃₈C₂² = C₄²⋊₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.38C2^2	192,564
C₄○D₁₂.₃₉C₂² = C₂₄.₁₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96	4-	C4oD12.39C2^2	192,455
C₄○D₁₂.₄₀C₂² = C₂₄.₁₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4+	C4oD12.40C2^2	192,456
C₄○D₁₂.₄₁C₂² = C₂₄.₄₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.41C2^2	192,457
C₄○D₁₂.₄₂C₂² = C₂×D₁₂⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48		C4oD12.42C2^2	192,697
C₄○D₁₂.₄₃C₂² = M₄(2)⋊₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.43C2^2	192,698
C₄○D₁₂.₄₄C₂² = C₂₄.₁₀₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.44C2^2	192,703
C₄○D₁₂.₄₅C₂² = C₂₄.₅₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.45C2^2	192,704
C₄○D₁₂.₄₆C₂² = C₂₄.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.46C2^2	192,719
C₄○D₁₂.₄₇C₂² = C₂₄.₄₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.47C2^2	192,736
C₄○D₁₂.₄₈C₂² = C₂₄.₂₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96	4	C4oD12.48C2^2	192,751
C₄○D₁₂.₄₉C₂² = C₂×D₁₂.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12.49C2^2	192,1303
C₄○D₁₂.₅₀C₂² = C₂×C₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12.50C2^2	192,1306
C₄○D₁₂.₅₁C₂² = S₃×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.51C2^2	192,1308
C₄○D₁₂.₅₂C₂² = M₄(2)⋊₂₈D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.52C2^2	192,1309
C₄○D₁₂.₅₃C₂² = D₁₂.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96	4	C4oD12.53C2^2	192,1325
C₄○D₁₂.₅₄C₂² = D₈⋊₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4+	C4oD12.54C2^2	192,1328
C₄○D₁₂.₅₅C₂² = D₈⋊₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	48	4	C4oD12.55C2^2	192,1329
C₄○D₁₂.₅₆C₂² = D₈.₁₀D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96	4-	C4oD12.56C2^2	192,1330
C₄○D₁₂.₅₇C₂² = C₂×Q₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄○D₁₂	96		C4oD12.57C2^2	192,1367
C₄○D₁₂.₅₈C₂² = C₂×C₈○D₁₂	φ: trivial image	96		C4oD12.58C2^2	192,1297
C₄○D₁₂.₅₉C₂² = M₄(2)⋊₂₆D₆	φ: trivial image	48	4	C4oD12.59C2^2	192,1304

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Extensions 1→N→G→Q→1 with N=C4○D12 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄○D₁₂ and Q=C₂²