Extensions 1→N→G→Q→1 with N=D22 and Q=C10

Direct product G=NxQ with N=D22 and Q=C10
dρLabelID
C2xC10xD11220C2xC10xD11440,48

Semidirect products G=N:Q with N=D22 and Q=C10
extensionφ:Q→Out NdρLabelID
D22:1C10 = D44:C5φ: C10/C1C10 ⊆ Out D224410+D22:1C10440,9
D22:2C10 = C22:F11φ: C10/C1C10 ⊆ Out D224410D22:2C10440,11
D22:3C10 = C22xF11φ: C10/C2C5 ⊆ Out D2244D22:3C10440,42
D22:4C10 = C5xD44φ: C10/C5C2 ⊆ Out D222202D22:4C10440,26
D22:5C10 = C5xC11:D4φ: C10/C5C2 ⊆ Out D222202D22:5C10440,28

Non-split extensions G=N.Q with N=D22 and Q=C10
extensionφ:Q→Out NdρLabelID
D22.C10 = C4xF11φ: C10/C2C5 ⊆ Out D224410D22.C10440,8
D22.2C10 = C20xD11φ: trivial image2202D22.2C10440,25

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