Extensions 1→N→G→Q→1 with N=C22wrC2 and Q=C10

Direct product G=NxQ with N=C22wrC2 and Q=C10
dρLabelID
C10xC22wrC280C10xC2^2wrC2320,1523

Semidirect products G=N:Q with N=C22wrC2 and Q=C10
extensionφ:Q→Out NdρLabelID
C22wrC2:1C10 = C5xC2wrC22φ: C10/C5C2 ⊆ Out C22wrC2404C2^2wrC2:1C10320,958
C22wrC2:2C10 = C5xC23:3D4φ: C10/C5C2 ⊆ Out C22wrC280C2^2wrC2:2C10320,1536
C22wrC2:3C10 = C5xC22.29C24φ: C10/C5C2 ⊆ Out C22wrC280C2^2wrC2:3C10320,1537
C22wrC2:4C10 = C5xC22.32C24φ: C10/C5C2 ⊆ Out C22wrC280C2^2wrC2:4C10320,1540
C22wrC2:5C10 = C5xD42φ: C10/C5C2 ⊆ Out C22wrC280C2^2wrC2:5C10320,1547
C22wrC2:6C10 = C5xD4:5D4φ: C10/C5C2 ⊆ Out C22wrC280C2^2wrC2:6C10320,1548
C22wrC2:7C10 = C5xC22.54C24φ: C10/C5C2 ⊆ Out C22wrC280C2^2wrC2:7C10320,1562
C22wrC2:8C10 = C5xC24:C22φ: C10/C5C2 ⊆ Out C22wrC280C2^2wrC2:8C10320,1563
C22wrC2:9C10 = C5xC22.19C24φ: trivial image80C2^2wrC2:9C10320,1527

Non-split extensions G=N.Q with N=C22wrC2 and Q=C10
extensionφ:Q→Out NdρLabelID
C22wrC2.1C10 = C5xC2wrC4φ: C10/C5C2 ⊆ Out C22wrC2404C2^2wrC2.1C10320,156
C22wrC2.2C10 = C5xC22.45C24φ: C10/C5C2 ⊆ Out C22wrC280C2^2wrC2.2C10320,1553

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