Extensions 1→N→G→Q→1 with N=C42:C2 and Q=C6

Direct product G=NxQ with N=C42:C2 and Q=C6
dρLabelID
C6xC42:C296C6xC4^2:C2192,1403

Semidirect products G=N:Q with N=C42:C2 and Q=C6
extensionφ:Q→Out NdρLabelID
C42:C2:1C6 = C3xC23.C23φ: C6/C3C2 ⊆ Out C42:C2484C4^2:C2:1C6192,843
C42:C2:2C6 = C3xC23.24D4φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:2C6192,849
C42:C2:3C6 = C3xC23.37D4φ: C6/C3C2 ⊆ Out C42:C248C4^2:C2:3C6192,851
C42:C2:4C6 = C3xC42:C22φ: C6/C3C2 ⊆ Out C42:C2484C4^2:C2:4C6192,854
C42:C2:5C6 = C3xC23.19D4φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:5C6192,915
C42:C2:6C6 = C3xC22.11C24φ: C6/C3C2 ⊆ Out C42:C248C4^2:C2:6C6192,1407
C42:C2:7C6 = C3xC23.33C23φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:7C6192,1409
C42:C2:8C6 = C3xC22.19C24φ: C6/C3C2 ⊆ Out C42:C248C4^2:C2:8C6192,1414
C42:C2:9C6 = C3xC23.36C23φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:9C6192,1418
C42:C2:10C6 = C3xC22.29C24φ: C6/C3C2 ⊆ Out C42:C248C4^2:C2:10C6192,1424
C42:C2:11C6 = C3xC23.38C23φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:11C6192,1425
C42:C2:12C6 = C3xC22.34C24φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:12C6192,1429
C42:C2:13C6 = C3xC22.36C24φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:13C6192,1431
C42:C2:14C6 = C3xC22.45C24φ: C6/C3C2 ⊆ Out C42:C248C4^2:C2:14C6192,1440
C42:C2:15C6 = C3xC22.46C24φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:15C6192,1441
C42:C2:16C6 = C3xC22.47C24φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:16C6192,1442
C42:C2:17C6 = C3xC22.49C24φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:17C6192,1444
C42:C2:18C6 = C3xC22.50C24φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2:18C6192,1445
C42:C2:19C6 = C12xC4oD4φ: trivial image96C4^2:C2:19C6192,1406

Non-split extensions G=N.Q with N=C42:C2 and Q=C6
extensionφ:Q→Out NdρLabelID
C42:C2.1C6 = C3xC4.9C42φ: C6/C3C2 ⊆ Out C42:C2484C4^2:C2.1C6192,143
C42:C2.2C6 = C3xC42:6C4φ: C6/C3C2 ⊆ Out C42:C248C4^2:C2.2C6192,145
C42:C2.3C6 = C3xM4(2):4C4φ: C6/C3C2 ⊆ Out C42:C2484C4^2:C2.3C6192,150
C42:C2.4C6 = C3xC23.38D4φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2.4C6192,852
C42:C2.5C6 = C3xC42.6C22φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2.5C6192,857
C42:C2.6C6 = C3xC23.25D4φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2.6C6192,860
C42:C2.7C6 = C3xM4(2):C4φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2.7C6192,861
C42:C2.8C6 = C3xC42.7C22φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2.8C6192,866
C42:C2.9C6 = C3xC23.20D4φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2.9C6192,918
C42:C2.10C6 = C3xC23.32C23φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2.10C6192,1408
C42:C2.11C6 = C3xC23.37C23φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2.11C6192,1422
C42:C2.12C6 = C3xC22.35C24φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2.12C6192,1430
C42:C2.13C6 = C3xC23.41C23φ: C6/C3C2 ⊆ Out C42:C296C4^2:C2.13C6192,1433
C42:C2.14C6 = C3xC8o2M4(2)φ: trivial image96C4^2:C2.14C6192,838

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