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Extensions 1→N→G→Q→1 with N=Q8⋊2Dic3 and Q=C2

Direct product G=N×Q with N=Q8⋊2Dic3 and Q=C2
dρLabelID
C2×Q8⋊2Dic3192C2xQ8:2Dic3192,783

Semidirect products G=N:Q with N=Q8⋊2Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊2Dic3⋊1C2 = (C2×C8).D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:1C2192,353
Q8⋊2Dic3⋊2C2 = Q8⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:2C2192,359
Q8⋊2Dic3⋊3C2 = S3×Q8⋊C4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:3C2192,360
Q8⋊2Dic3⋊4C2 = (S3×Q8)⋊C4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:4C2192,361
Q8⋊2Dic3⋊5C2 = Q8⋊7(C4×S3)φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:5C2192,362
Q8⋊2Dic3⋊6C2 = C4⋊C4.150D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:6C2192,363
Q8⋊2Dic3⋊7C2 = D6.1SD16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:7C2192,364
Q8⋊2Dic3⋊8C2 = D6.Q16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:8C2192,370
Q8⋊2Dic3⋊9C2 = D6⋊C8.C2φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:9C2192,373
Q8⋊2Dic3⋊10C2 = C8⋊Dic3⋊C2φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:10C2192,374
Q8⋊2Dic3⋊11C2 = C42.56D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:11C2192,585
Q8⋊2Dic3⋊12C2 = (C2×Q8).49D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:12C2192,602
Q8⋊2Dic3⋊13C2 = (C2×C6).Q16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:13C2192,603
Q8⋊2Dic3⋊14C2 = (C2×Q8).51D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:14C2192,604
Q8⋊2Dic3⋊15C2 = C3⋊C8⋊24D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:15C2192,607
Q8⋊2Dic3⋊16C2 = C3⋊C8⋊6D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:16C2192,608
Q8⋊2Dic3⋊17C2 = C3⋊C8.29D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:17C2192,610
Q8⋊2Dic3⋊18C2 = C3⋊C8.6D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:18C2192,611
Q8⋊2Dic3⋊19C2 = C42.61D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:19C2192,613
Q8⋊2Dic3⋊20C2 = C42.62D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:20C2192,614
Q8⋊2Dic3⋊21C2 = C42.213D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:21C2192,615
Q8⋊2Dic3⋊22C2 = D12.23D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:22C2192,616
Q8⋊2Dic3⋊23C2 = C12⋊5SD16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:23C2192,642
Q8⋊2Dic3⋊24C2 = Dic3×SD16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:24C2192,720
Q8⋊2Dic3⋊25C2 = Dic3⋊3SD16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:25C2192,721
Q8⋊2Dic3⋊26C2 = SD16⋊Dic3φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:26C2192,723
Q8⋊2Dic3⋊27C2 = (C3×D4).D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:27C2192,724
Q8⋊2Dic3⋊28C2 = D6⋊8SD16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:28C2192,729
Q8⋊2Dic3⋊29C2 = C24⋊14D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:29C2192,730
Q8⋊2Dic3⋊30C2 = D12⋊7D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:30C2192,731
Q8⋊2Dic3⋊31C2 = C24⋊8D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:31C2192,733
Q8⋊2Dic3⋊32C2 = (C2×Q16)⋊S3φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:32C2192,744
Q8⋊2Dic3⋊33C2 = D6⋊5Q16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:33C2192,745
Q8⋊2Dic3⋊34C2 = D12.17D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:34C2192,746
Q8⋊2Dic3⋊35C2 = D6⋊3Q16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:35C2192,747
Q8⋊2Dic3⋊36C2 = C24.36D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:36C2192,748
Q8⋊2Dic3⋊37C2 = (C6×Q8)⋊6C4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:37C2192,784
Q8⋊2Dic3⋊38C2 = (C3×Q8)⋊13D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:38C2192,786
Q8⋊2Dic3⋊39C2 = (C2×C6)⋊8Q16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:39C2192,787
Q8⋊2Dic3⋊40C2 = C4○D4⋊3Dic3φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:40C2192,791
Q8⋊2Dic3⋊41C2 = (C3×D4)⋊14D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:41C2192,797
Q8⋊2Dic3⋊42C2 = (C3×D4).32D4φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic396Q8:2Dic3:42C2192,798
Q8⋊2Dic3⋊43C2 = C4×Q8⋊2S3φ: trivial image96Q8:2Dic3:43C2192,584
Q8⋊2Dic3⋊44C2 = C4○D4⋊4Dic3φ: trivial image96Q8:2Dic3:44C2192,792

Non-split extensions G=N.Q with N=Q8⋊2Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊2Dic3.1C2 = Q8⋊2Dic6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.1C2192,350
Q8⋊2Dic3.2C2 = Dic3.1Q16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.2C2192,351
Q8⋊2Dic3.3C2 = Q8⋊3Dic6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.3C2192,352
Q8⋊2Dic3.4C2 = Q8.3Dic6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.4C2192,355
Q8⋊2Dic3.5C2 = (C2×Q8).36D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.5C2192,356
Q8⋊2Dic3.6C2 = Q8.4Dic6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.6C2192,358
Q8⋊2Dic3.7C2 = Q8⋊4Dic6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.7C2192,579
Q8⋊2Dic3.8C2 = Q8⋊5Dic6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.8C2192,580
Q8⋊2Dic3.9C2 = Q8.5Dic6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.9C2192,581
Q8⋊2Dic3.10C2 = C42.59D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.10C2192,589
Q8⋊2Dic3.11C2 = C12.9Q16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.11C2192,638
Q8⋊2Dic3.12C2 = C42.77D6φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.12C2192,641
Q8⋊2Dic3.13C2 = C12⋊Q16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.13C2192,649
Q8⋊2Dic3.14C2 = Dic3×Q16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.14C2192,740
Q8⋊2Dic3.15C2 = Dic3⋊3Q16φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.15C2192,741
Q8⋊2Dic3.16C2 = Q16⋊Dic3φ: C2/C1 → C2 ⊆ Out Q8⋊2Dic3192Q8:2Dic3.16C2192,743
Q8⋊2Dic3.17C2 = C4×C3⋊Q16φ: trivial image192Q8:2Dic3.17C2192,588

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