Extensions 1→N→G→Q→1 with N=C42:C2 and Q=C10

Direct product G=NxQ with N=C42:C2 and Q=C10
dρLabelID
C10xC42:C2160C10xC4^2:C2320,1516

Semidirect products G=N:Q with N=C42:C2 and Q=C10
extensionφ:Q→Out NdρLabelID
C42:C2:1C10 = C5xC23.C23φ: C10/C5C2 ⊆ Out C42:C2804C4^2:C2:1C10320,911
C42:C2:2C10 = C5xC23.24D4φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:2C10320,917
C42:C2:3C10 = C5xC23.37D4φ: C10/C5C2 ⊆ Out C42:C280C4^2:C2:3C10320,919
C42:C2:4C10 = C5xC42:C22φ: C10/C5C2 ⊆ Out C42:C2804C4^2:C2:4C10320,922
C42:C2:5C10 = C5xC23.19D4φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:5C10320,983
C42:C2:6C10 = C5xC22.11C24φ: C10/C5C2 ⊆ Out C42:C280C4^2:C2:6C10320,1520
C42:C2:7C10 = C5xC23.33C23φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:7C10320,1522
C42:C2:8C10 = C5xC22.19C24φ: C10/C5C2 ⊆ Out C42:C280C4^2:C2:8C10320,1527
C42:C2:9C10 = C5xC23.36C23φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:9C10320,1531
C42:C2:10C10 = C5xC22.29C24φ: C10/C5C2 ⊆ Out C42:C280C4^2:C2:10C10320,1537
C42:C2:11C10 = C5xC23.38C23φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:11C10320,1538
C42:C2:12C10 = C5xC22.34C24φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:12C10320,1542
C42:C2:13C10 = C5xC22.36C24φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:13C10320,1544
C42:C2:14C10 = C5xC22.45C24φ: C10/C5C2 ⊆ Out C42:C280C4^2:C2:14C10320,1553
C42:C2:15C10 = C5xC22.46C24φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:15C10320,1554
C42:C2:16C10 = C5xC22.47C24φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:16C10320,1555
C42:C2:17C10 = C5xC22.49C24φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:17C10320,1557
C42:C2:18C10 = C5xC22.50C24φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2:18C10320,1558
C42:C2:19C10 = C4oD4xC20φ: trivial image160C4^2:C2:19C10320,1519

Non-split extensions G=N.Q with N=C42:C2 and Q=C10
extensionφ:Q→Out NdρLabelID
C42:C2.1C10 = C5xC4.9C42φ: C10/C5C2 ⊆ Out C42:C2804C4^2:C2.1C10320,142
C42:C2.2C10 = C5xC42:6C4φ: C10/C5C2 ⊆ Out C42:C280C4^2:C2.2C10320,144
C42:C2.3C10 = C5xM4(2):4C4φ: C10/C5C2 ⊆ Out C42:C2804C4^2:C2.3C10320,149
C42:C2.4C10 = C5xC23.38D4φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2.4C10320,920
C42:C2.5C10 = C5xC42.6C22φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2.5C10320,925
C42:C2.6C10 = C5xC23.25D4φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2.6C10320,928
C42:C2.7C10 = C5xM4(2):C4φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2.7C10320,929
C42:C2.8C10 = C5xC42.7C22φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2.8C10320,934
C42:C2.9C10 = C5xC23.20D4φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2.9C10320,986
C42:C2.10C10 = C5xC23.32C23φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2.10C10320,1521
C42:C2.11C10 = C5xC23.37C23φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2.11C10320,1535
C42:C2.12C10 = C5xC22.35C24φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2.12C10320,1543
C42:C2.13C10 = C5xC23.41C23φ: C10/C5C2 ⊆ Out C42:C2160C4^2:C2.13C10320,1546
C42:C2.14C10 = C5xC8o2M4(2)φ: trivial image160C4^2:C2.14C10320,906

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