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Extensions 1→N→G→Q→1 with N=C2×C4.Dic3 and Q=C2

Direct product G=N×Q with N=C2×C4.Dic3 and Q=C2
dρLabelID
C22×C4.Dic396C2^2xC4.Dic3192,1340

Semidirect products G=N:Q with N=C2×C4.Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.Dic3)⋊1C2 = D6⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):1C2192,287
(C2×C4.Dic3)⋊2C2 = Dic3⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):2C2192,288
(C2×C4.Dic3)⋊3C2 = C2×C42⋊4S3φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):3C2192,486
(C2×C4.Dic3)⋊4C2 = C42.47D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):4C2192,570
(C2×C4.Dic3)⋊5C2 = C12⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):5C2192,571
(C2×C4.Dic3)⋊6C2 = (C22×C8)⋊7S3φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):6C2192,669
(C2×C4.Dic3)⋊7C2 = C24.6Dic3φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):7C2192,766
(C2×C4.Dic3)⋊8C2 = C4○D12⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):8C2192,525
(C2×C4.Dic3)⋊9C2 = C4⋊C4⋊36D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):9C2192,560
(C2×C4.Dic3)⋊10C2 = C42⋊6D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3):10C2192,564
(C2×C4.Dic3)⋊11C2 = C4⋊D4⋊S3φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):11C2192,598
(C2×C4.Dic3)⋊12C2 = C3⋊C8⋊5D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):12C2192,601
(C2×C4.Dic3)⋊13C2 = C3⋊C8⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):13C2192,608
(C2×C4.Dic3)⋊14C2 = D6⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):14C2192,685
(C2×C4.Dic3)⋊15C2 = C2×C12.46D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):15C2192,689
(C2×C4.Dic3)⋊16C2 = M4(2).31D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3):16C2192,691
(C2×C4.Dic3)⋊17C2 = (C6×D4)⋊6C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):17C2192,774
(C2×C4.Dic3)⋊18C2 = C2×C12.D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):18C2192,775
(C2×C4.Dic3)⋊19C2 = C4○D4⋊3Dic3φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):19C2192,791
(C2×C4.Dic3)⋊20C2 = (C6×D4).11C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):20C2192,793
(C2×C4.Dic3)⋊21C2 = C2×Q8⋊3Dic3φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):21C2192,794
(C2×C4.Dic3)⋊22C2 = (C6×D4)⋊9C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3):22C2192,795
(C2×C4.Dic3)⋊23C2 = (C6×D4).16C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3):23C2192,796
(C2×C4.Dic3)⋊24C2 = C2×S3×M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):24C2192,1302
(C2×C4.Dic3)⋊25C2 = M4(2)⋊26D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3):25C2192,1304
(C2×C4.Dic3)⋊26C2 = C2×D12⋊6C22φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):26C2192,1352
(C2×C4.Dic3)⋊27C2 = C2×Q8.11D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):27C2192,1367
(C2×C4.Dic3)⋊28C2 = C2×D4.Dic3φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):28C2192,1377
(C2×C4.Dic3)⋊29C2 = C12.76C24φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3):29C2192,1378
(C2×C4.Dic3)⋊30C2 = C2×D4⋊D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3):30C2192,1379
(C2×C4.Dic3)⋊31C2 = C12.C24φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3):31C2192,1381
(C2×C4.Dic3)⋊32C2 = C2×Q8.14D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3):32C2192,1382
(C2×C4.Dic3)⋊33C2 = C2×C8○D12φ: trivial image96(C2xC4.Dic3):33C2192,1297

Non-split extensions G=N.Q with N=C2×C4.Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.Dic3).1C2 = C12.8C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3).1C2192,82
(C2×C4.Dic3).2C2 = C12.10C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).2C2192,111
(C2×C4.Dic3).3C2 = C12⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).3C2192,483
(C2×C4.Dic3).4C2 = Dic3⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).4C2192,661
(C2×C4.Dic3).5C2 = C2×C24.C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).5C2192,666
(C2×C4.Dic3).6C2 = C12.(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).6C2192,89
(C2×C4.Dic3).7C2 = C42⋊3Dic3φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3).7C2192,90
(C2×C4.Dic3).8C2 = C12.2C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic348(C2xC4.Dic3).8C2192,91
(C2×C4.Dic3).9C2 = (C2×C12).Q8φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3).9C2192,92
(C2×C4.Dic3).10C2 = M4(2)⋊Dic3φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).10C2192,113
(C2×C4.Dic3).11C2 = (C2×C24)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3).11C2192,115
(C2×C4.Dic3).12C2 = C12.4C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).12C2192,117
(C2×C4.Dic3).13C2 = M4(2)⋊4Dic3φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3).13C2192,118
(C2×C4.Dic3).14C2 = C12.21C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3).14C2192,119
(C2×C4.Dic3).15C2 = C4⋊C4.225D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).15C2192,523
(C2×C4.Dic3).16C2 = C4⋊C4.232D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).16C2192,554
(C2×C4.Dic3).17C2 = C12.5C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).17C2192,556
(C2×C4.Dic3).18C2 = C42.43D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).18C2192,558
(C2×C4.Dic3).19C2 = C4⋊C4.237D6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).19C2192,563
(C2×C4.Dic3).20C2 = C3⋊C8.6D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).20C2192,611
(C2×C4.Dic3).21C2 = Dic3×M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).21C2192,676
(C2×C4.Dic3).22C2 = Dic3⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).22C2192,677
(C2×C4.Dic3).23C2 = C2×C12.53D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).23C2192,682
(C2×C4.Dic3).24C2 = C23.8Dic6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3).24C2192,683
(C2×C4.Dic3).25C2 = C23.9Dic6φ: C2/C1 → C2 ⊆ Out C2×C4.Dic3484(C2xC4.Dic3).25C2192,684
(C2×C4.Dic3).26C2 = C2×C12.47D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).26C2192,695
(C2×C4.Dic3).27C2 = (C6×Q8)⋊6C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).27C2192,784
(C2×C4.Dic3).28C2 = C2×C12.10D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic396(C2xC4.Dic3).28C2192,785
(C2×C4.Dic3).29C2 = C4×C4.Dic3φ: trivial image96(C2xC4.Dic3).29C2192,481
(C2×C4.Dic3).30C2 = C12.12C42φ: trivial image96(C2xC4.Dic3).30C2192,660

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