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.C2320C10xC4^2.C2320,1529

Semidirect products G=N:Q with N=C42.C2 and Q=C10
extensionφ:Q→Out NdρLabelID
C42.C2:1C10 = C5xD4.Q8φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:1C10320,979
C42.C2:2C10 = C5xC42.78C22φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:2C10320,989
C42.C2:3C10 = C5xC42.29C22φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:3C10320,991
C42.C2:4C10 = C5xC22.33C24φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:4C10320,1541
C42.C2:5C10 = C5xC22.34C24φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:5C10320,1542
C42.C2:6C10 = C5xC22.35C24φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:6C10320,1543
C42.C2:7C10 = C5xC23.41C23φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:7C10320,1546
C42.C2:8C10 = C5xC22.46C24φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:8C10320,1554
C42.C2:9C10 = C5xC22.47C24φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:9C10320,1555
C42.C2:10C10 = C5xD4:3Q8φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:10C10320,1556
C42.C2:11C10 = C5xC22.56C24φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:11C10320,1564
C42.C2:12C10 = C5xC22.57C24φ: C10/C5C2 ⊆ Out C42.C2160C4^2.C2:12C10320,1565
C42.C2:13C10 = C5xC23.36C23φ: trivial image160C4^2.C2:13C10320,1531
C42.C2:14C10 = C5xC23.37C23φ: trivial image160C4^2.C2:14C10320,1535

Non-split extensions G=N.Q with N=C42.C2 and Q=C10
extensionφ:Q→Out NdρLabelID
C42.C2.1C10 = C5xC42.2C22φ: C10/C5C2 ⊆ Out C42.C2320C4^2.C2.1C10320,135
C42.C2.2C10 = C5xQ8.Q8φ: C10/C5C2 ⊆ Out C42.C2320C4^2.C2.2C10320,980
C42.C2.3C10 = C5xC42.30C22φ: C10/C5C2 ⊆ Out C42.C2320C4^2.C2.3C10320,992
C42.C2.4C10 = C5xC8.5Q8φ: C10/C5C2 ⊆ Out C42.C2320C4^2.C2.4C10320,1000
C42.C2.5C10 = C5xC8:Q8φ: C10/C5C2 ⊆ Out C42.C2320C4^2.C2.5C10320,1002
C42.C2.6C10 = C5xQ8:3Q8φ: C10/C5C2 ⊆ Out C42.C2320C4^2.C2.6C10320,1559
C42.C2.7C10 = C5xC22.58C24φ: C10/C5C2 ⊆ Out C42.C2320C4^2.C2.7C10320,1566

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