Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₂³

Direct product G=NxQ with N=D₁₂ and Q=C₂³

		d	ρ	Label	ID
C₂³xD₁₂		96		C2^3xD12	192,1512

Semidirect products G=N:Q with N=D₁₂ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂:₁C₂³ = C₂xS₃xD₈	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48		D12:1C2^3	192,1313
D₁₂:₂C₂³ = C₂xQ₈:₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48		D12:2C2^3	192,1318
D₁₂:₃C₂³ = S₃xC₈:C₂²	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	24	8+	D12:3C2^3	192,1331
D₁₂:₄C₂³ = C₂²xD₂₄	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96		D12:4C2^3	192,1299
D₁₂:₅C₂³ = C₂xC₈:D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48		D12:5C2^3	192,1305
D₁₂:₆C₂³ = C₂²xD₄:S₃	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96		D12:6C2^3	192,1351
D₁₂:₇C₂³ = C₂xD₁₂:₆C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48		D12:7C2^3	192,1352
D₁₂:₈C₂³ = C₂²xS₃xD₄	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48		D12:8C2^3	192,1514
D₁₂:₉C₂³ = C₂xD₄:₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48		D12:9C2^3	192,1516
D₁₂:₁₀C₂³ = C₂²xQ₈:₃S₃	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96		D12:10C2^3	192,1518
D₁₂:₁₁C₂³ = C₂xS₃xC₄oD₄	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48		D12:11C2^3	192,1520
D₁₂:₁₂C₂³ = C₂xD₄oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48		D12:12C2^3	192,1521
D₁₂:₁₃C₂³ = S₃x2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	24	8+	D12:13C2^3	192,1524
D₁₂:₁₄C₂³ = C₂²xC₄oD₁₂	φ: trivial image	96		D12:14C2^3	192,1513

Non-split extensions G=N.Q with N=D₁₂ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁C₂³ = C₂xD₈:S₃	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48		D12.1C2^3	192,1314
D₁₂.₂C₂³ = D₈:₁₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	4	D12.2C2^3	192,1316
D₁₂.₃C₂³ = C₂xS₃xSD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48		D12.3C2^3	192,1317
D₁₂.₄C₂³ = C₂xQ₈.₇D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	96		D12.4C2^3	192,1320
D₁₂.₅C₂³ = SD₁₆:₁₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	4	D12.5C2^3	192,1321
D₁₂.₆C₂³ = C₂xQ₁₆:S₃	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	96		D12.6C2^3	192,1323
D₁₂.₇C₂³ = C₂xD₂₄:C₂	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	96		D12.7C2^3	192,1324
D₁₂.₈C₂³ = D₁₂.₃₀D₄	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	96	4	D12.8C2^3	192,1325
D₁₂.₉C₂³ = S₃xC₄oD₈	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	4	D12.9C2^3	192,1326
D₁₂.₁₀C₂³ = SD₁₆:D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	4	D12.10C2^3	192,1327
D₁₂.₁₁C₂³ = D₈:₁₅D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	4+	D12.11C2^3	192,1328
D₁₂.₁₂C₂³ = D₈:₁₁D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	4	D12.12C2^3	192,1329
D₁₂.₁₃C₂³ = D₈:₄D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	8-	D12.13C2^3	192,1332
D₁₂.₁₄C₂³ = D₈:₅D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	8+	D12.14C2^3	192,1333
D₁₂.₁₅C₂³ = D₈:₆D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	8-	D12.15C2^3	192,1334
D₁₂.₁₆C₂³ = S₃xC₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	8-	D12.16C2^3	192,1335
D₁₂.₁₇C₂³ = D₂₄:C₂²	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	8+	D12.17C2^3	192,1336
D₁₂.₁₈C₂³ = C₂₄.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	48	8+	D12.18C2^3	192,1337
D₁₂.₁₉C₂³ = SD₁₆.D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₁₂	96	8-	D12.19C2^3	192,1338
D₁₂.₂₀C₂³ = C₂²xC₂₄:C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96		D12.20C2^3	192,1298
D₁₂.₂₁C₂³ = C₂xC₄oD₂₄	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96		D12.21C2^3	192,1300
D₁₂.₂₂C₂³ = C₂xC₈.D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96		D12.22C2^3	192,1306
D₁₂.₂₃C₂³ = C₂₄.₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48	4	D12.23C2^3	192,1307
D₁₂.₂₄C₂³ = D₄.₁₁D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48	4	D12.24C2^3	192,1310
D₁₂.₂₅C₂³ = D₄.₁₂D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48	4+	D12.25C2^3	192,1311
D₁₂.₂₆C₂³ = D₄.₁₃D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96	4-	D12.26C2^3	192,1312
D₁₂.₂₇C₂³ = C₂²xQ₈:₂S₃	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96		D12.27C2^3	192,1366
D₁₂.₂₈C₂³ = C₂xQ₈.₁₁D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96		D12.28C2^3	192,1367
D₁₂.₂₉C₂³ = C₂xD₄:D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48		D12.29C2^3	192,1379
D₁₂.₃₀C₂³ = C₂xQ₈.₁₃D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96		D12.30C2^3	192,1380
D₁₂.₃₁C₂³ = C₁₂.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48	4	D12.31C2^3	192,1381
D₁₂.₃₂C₂³ = D₁₂.₃₂C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48	8+	D12.32C2^3	192,1394
D₁₂.₃₃C₂³ = D₁₂.₃₃C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48	8-	D12.33C2^3	192,1395
D₁₂.₃₄C₂³ = D₁₂.₃₄C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48	8+	D12.34C2^3	192,1396
D₁₂.₃₅C₂³ = D₁₂.₃₅C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96	8-	D12.35C2^3	192,1397
D₁₂.₃₆C₂³ = C₂xQ₈.₁₅D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	96		D12.36C2^3	192,1519
D₁₂.₃₇C₂³ = D₆.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48	8-	D12.37C2^3	192,1525
D₁₂.₃₈C₂³ = S₃x2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48	8-	D12.38C2^3	192,1526
D₁₂.₃₉C₂³ = D₁₂.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₁₂	48	8+	D12.39C2^3	192,1527
D₁₂.₄₀C₂³ = C₂xQ₈oD₁₂	φ: trivial image	96		D12.40C2^3	192,1522
D₁₂.₄₁C₂³ = C₆.C₂⁵	φ: trivial image	48	4	D12.41C2^3	192,1523

Extensions 1→N→G→Q→1 with N=D12 and Q=C23

Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₂³