Extensions 1→N→G→Q→1 with N=C22:C4 and Q=C10

Direct product G=NxQ with N=C22:C4 and Q=C10
dρLabelID
C10xC22:C480C10xC2^2:C4160,176

Semidirect products G=N:Q with N=C22:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
C22:C4:1C10 = C5xC23:C4φ: C10/C5C2 ⊆ Out C22:C4404C2^2:C4:1C10160,49
C22:C4:2C10 = C5xC22wrC2φ: C10/C5C2 ⊆ Out C22:C440C2^2:C4:2C10160,181
C22:C4:3C10 = C5xC4:D4φ: C10/C5C2 ⊆ Out C22:C480C2^2:C4:3C10160,182
C22:C4:4C10 = C5xC22.D4φ: C10/C5C2 ⊆ Out C22:C480C2^2:C4:4C10160,184
C22:C4:5C10 = C5xC4.4D4φ: C10/C5C2 ⊆ Out C22:C480C2^2:C4:5C10160,185
C22:C4:6C10 = D4xC20φ: trivial image80C2^2:C4:6C10160,179

Non-split extensions G=N.Q with N=C22:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
C22:C4.1C10 = C5xC22:Q8φ: C10/C5C2 ⊆ Out C22:C480C2^2:C4.1C10160,183
C22:C4.2C10 = C5xC42:2C2φ: C10/C5C2 ⊆ Out C22:C480C2^2:C4.2C10160,187
C22:C4.3C10 = C5xC42:C2φ: trivial image80C2^2:C4.3C10160,178

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