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Extensions 1→N→G→Q→1 with N=C3×C42⋊2C2 and Q=C2

Direct product G=N×Q with N=C3×C42⋊2C2 and Q=C2
dρLabelID
C6×C42⋊2C296C6xC4^2:2C2192,1417

Semidirect products G=N:Q with N=C3×C42⋊2C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C42⋊2C2)⋊1C2 = C42.160D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):1C2192,1261
(C3×C42⋊2C2)⋊2C2 = S3×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C248(C3xC4^2:2C2):2C2192,1262
(C3×C42⋊2C2)⋊3C2 = C42⋊25D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C248(C3xC4^2:2C2):3C2192,1263
(C3×C42⋊2C2)⋊4C2 = C42⋊26D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C248(C3xC4^2:2C2):4C2192,1264
(C3×C42⋊2C2)⋊5C2 = C42.189D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):5C2192,1265
(C3×C42⋊2C2)⋊6C2 = C42.161D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):6C2192,1266
(C3×C42⋊2C2)⋊7C2 = C42.162D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):7C2192,1267
(C3×C42⋊2C2)⋊8C2 = C42.163D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):8C2192,1268
(C3×C42⋊2C2)⋊9C2 = C42.164D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):9C2192,1269
(C3×C42⋊2C2)⋊10C2 = C42⋊27D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C248(C3xC4^2:2C2):10C2192,1270
(C3×C42⋊2C2)⋊11C2 = C42.165D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):11C2192,1271
(C3×C42⋊2C2)⋊12C2 = C3×C22.32C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C248(C3xC4^2:2C2):12C2192,1427
(C3×C42⋊2C2)⋊13C2 = C3×C22.33C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):13C2192,1428
(C3×C42⋊2C2)⋊14C2 = C3×C22.36C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):14C2192,1431
(C3×C42⋊2C2)⋊15C2 = C3×C22.45C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C248(C3xC4^2:2C2):15C2192,1440
(C3×C42⋊2C2)⋊16C2 = C3×C22.46C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):16C2192,1441
(C3×C42⋊2C2)⋊17C2 = C3×C22.47C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):17C2192,1442
(C3×C42⋊2C2)⋊18C2 = C3×C22.50C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):18C2192,1445
(C3×C42⋊2C2)⋊19C2 = C3×C22.54C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C248(C3xC4^2:2C2):19C2192,1449
(C3×C42⋊2C2)⋊20C2 = C3×C22.57C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2):20C2192,1452
(C3×C42⋊2C2)⋊21C2 = C3×C23.36C23φ: trivial image96(C3xC4^2:2C2):21C2192,1418

Non-split extensions G=N.Q with N=C3×C42⋊2C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C42⋊2C2).1C2 = C42.159D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2).1C2192,1260
(C3×C42⋊2C2).2C2 = C3×C22.35C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊2C296(C3xC4^2:2C2).2C2192,1430

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