Extensions 1→N→G→Q→1 with N=C₃xD₄ and Q=C₂³

Direct product G=NxQ with N=C₃xD₄ and Q=C₂³

		d	ρ	Label	ID
D₄xC₂²xC₆		96		D4xC2^2xC6	192,1531

Semidirect products G=N:Q with N=C₃xD₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₄):₁C₂³ = C₂xS₃xD₈	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48		(C3xD4):1C2^3	192,1313
(C₃xD₄):₂C₂³ = C₂xD₈:S₃	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48		(C3xD4):2C2^3	192,1314
(C₃xD₄):₃C₂³ = S₃xC₈:C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	24	8+	(C3xD4):3C2^3	192,1331
(C₃xD₄):₄C₂³ = C₂²xD₄:S₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96		(C3xD4):4C2^3	192,1351
(C₃xD₄):₅C₂³ = C₂xD₄:D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48		(C3xD4):5C2^3	192,1379
(C₃xD₄):₆C₂³ = C₂²xS₃xD₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48		(C3xD4):6C2^3	192,1514
(C₃xD₄):₇C₂³ = C₂²xD₄:₂S₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96		(C3xD4):7C2^3	192,1515
(C₃xD₄):₈C₂³ = C₂xD₄:₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48		(C3xD4):8C2^3	192,1516
(C₃xD₄):₉C₂³ = C₂xS₃xC₄oD₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48		(C3xD4):9C2^3	192,1520
(C₃xD₄):₁₀C₂³ = C₂xD₄oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48		(C3xD4):10C2^3	192,1521
(C₃xD₄):₁₁C₂³ = S₃x2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	24	8+	(C3xD4):11C2^3	192,1524
(C₃xD₄):₁₂C₂³ = C₂xC₆xD₈	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96		(C3xD4):12C2^3	192,1458
(C₃xD₄):₁₃C₂³ = C₆xC₈:C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48		(C3xD4):13C2^3	192,1462
(C₃xD₄):₁₄C₂³ = C₂xC₆xC₄oD₄	φ: trivial image	96		(C3xD4):14C2^3	192,1533
(C₃xD₄):₁₅C₂³ = C₆x2₊¹⁺⁴	φ: trivial image	48		(C3xD4):15C2^3	192,1534

Non-split extensions G=N.Q with N=C₃xD₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₄).₁C₂³ = C₂xD₈:₃S₃	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	96		(C3xD4).1C2^3	192,1315
(C₃xD₄).₂C₂³ = D₈:₁₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	4	(C3xD4).2C2^3	192,1316
(C₃xD₄).₃C₂³ = C₂xS₃xSD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48		(C3xD4).3C2^3	192,1317
(C₃xD₄).₄C₂³ = C₂xQ₈:₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48		(C3xD4).4C2^3	192,1318
(C₃xD₄).₅C₂³ = C₂xD₄.D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	96		(C3xD4).5C2^3	192,1319
(C₃xD₄).₆C₂³ = C₂xQ₈.₇D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	96		(C3xD4).6C2^3	192,1320
(C₃xD₄).₇C₂³ = SD₁₆:₁₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	4	(C3xD4).7C2^3	192,1321
(C₃xD₄).₈C₂³ = S₃xC₄oD₈	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	4	(C3xD4).8C2^3	192,1326
(C₃xD₄).₉C₂³ = SD₁₆:D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	4	(C3xD4).9C2^3	192,1327
(C₃xD₄).₁₀C₂³ = D₈:₁₅D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	4+	(C3xD4).10C2^3	192,1328
(C₃xD₄).₁₁C₂³ = D₈:₁₁D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	4	(C3xD4).11C2^3	192,1329
(C₃xD₄).₁₂C₂³ = D₈.₁₀D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	96	4-	(C3xD4).12C2^3	192,1330
(C₃xD₄).₁₃C₂³ = D₈:₄D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	8-	(C3xD4).13C2^3	192,1332
(C₃xD₄).₁₄C₂³ = D₈:₅D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	8+	(C3xD4).14C2^3	192,1333
(C₃xD₄).₁₅C₂³ = D₈:₆D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	8-	(C3xD4).15C2^3	192,1334
(C₃xD₄).₁₆C₂³ = S₃xC₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	8-	(C3xD4).16C2^3	192,1335
(C₃xD₄).₁₇C₂³ = D₂₄:C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	8+	(C3xD4).17C2^3	192,1336
(C₃xD₄).₁₈C₂³ = C₂₄.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	48	8+	(C3xD4).18C2^3	192,1337
(C₃xD₄).₁₉C₂³ = SD₁₆.D₆	φ: C₂³/C₂ → C₂² ⊆ Out C₃xD₄	96	8-	(C3xD4).19C2^3	192,1338
(C₃xD₄).₂₀C₂³ = C₂xD₁₂:₆C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48		(C3xD4).20C2^3	192,1352
(C₃xD₄).₂₁C₂³ = C₂²xD₄.S₃	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96		(C3xD4).21C2^3	192,1353
(C₃xD₄).₂₂C₂³ = C₂xQ₈.₁₃D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96		(C3xD4).22C2^3	192,1380
(C₃xD₄).₂₃C₂³ = C₁₂.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	4	(C3xD4).23C2^3	192,1381
(C₃xD₄).₂₄C₂³ = C₂xQ₈.₁₄D₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96		(C3xD4).24C2^3	192,1382
(C₃xD₄).₂₅C₂³ = D₁₂.₃₂C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	8+	(C3xD4).25C2^3	192,1394
(C₃xD₄).₂₆C₂³ = D₁₂.₃₃C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	8-	(C3xD4).26C2^3	192,1395
(C₃xD₄).₂₇C₂³ = D₁₂.₃₄C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	8+	(C3xD4).27C2^3	192,1396
(C₃xD₄).₂₈C₂³ = D₁₂.₃₅C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96	8-	(C3xD4).28C2^3	192,1397
(C₃xD₄).₂₉C₂³ = C₂xQ₈oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96		(C3xD4).29C2^3	192,1522
(C₃xD₄).₃₀C₂³ = C₆.C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	4	(C3xD4).30C2^3	192,1523
(C₃xD₄).₃₁C₂³ = D₆.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	8-	(C3xD4).31C2^3	192,1525
(C₃xD₄).₃₂C₂³ = S₃x2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	8-	(C3xD4).32C2^3	192,1526
(C₃xD₄).₃₃C₂³ = D₁₂.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	8+	(C3xD4).33C2^3	192,1527
(C₃xD₄).₃₄C₂³ = C₂xC₆xSD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96		(C3xD4).34C2^3	192,1459
(C₃xD₄).₃₅C₂³ = C₆xC₄oD₈	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96		(C3xD4).35C2^3	192,1461
(C₃xD₄).₃₆C₂³ = C₆xC₈.C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96		(C3xD4).36C2^3	192,1463
(C₃xD₄).₃₇C₂³ = C₃xD₈:C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	4	(C3xD4).37C2^3	192,1464
(C₃xD₄).₃₈C₂³ = C₃xD₄oD₈	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	4	(C3xD4).38C2^3	192,1465
(C₃xD₄).₃₉C₂³ = C₃xD₄oSD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	48	4	(C3xD4).39C2^3	192,1466
(C₃xD₄).₄₀C₂³ = C₃xQ₈oD₈	φ: C₂³/C₂² → C₂ ⊆ Out C₃xD₄	96	4	(C3xD4).40C2^3	192,1467
(C₃xD₄).₄₁C₂³ = C₆x2_-¹⁺⁴	φ: trivial image	96		(C3xD4).41C2^3	192,1535
(C₃xD₄).₄₂C₂³ = C₃xC₂.C₂⁵	φ: trivial image	48	4	(C3xD4).42C2^3	192,1536

Extensions 1→N→G→Q→1 with N=C3xD4 and Q=C23

Extensions 1→N→G→Q→1 with N=C₃xD₄ and Q=C₂³