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

Direct product G=NxQ with N=C4:C4 and Q=C10
dρLabelID
C10xC4:C4160C10xC4:C4160,177

Semidirect products G=N:Q with N=C4:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4:C4:1C10 = C5xD4:C4φ: C10/C5 → C2 ⊆ Out C4:C480C4:C4:1C10160,52
C4:C4:2C10 = C5xC4:D4φ: C10/C5 → C2 ⊆ Out C4:C480C4:C4:2C10160,182
C4:C4:3C10 = C5xC22:Q8φ: C10/C5 → C2 ⊆ Out C4:C480C4:C4:3C10160,183
C4:C4:4C10 = C5xC22.D4φ: C10/C5 → C2 ⊆ Out C4:C480C4:C4:4C10160,184
C4:C4:5C10 = C5xC42:2C2φ: C10/C5 → C2 ⊆ Out C4:C480C4:C4:5C10160,187
C4:C4:6C10 = C5xC42:C2φ: trivial image80C4:C4:6C10160,178
C4:C4:7C10 = D4xC20φ: trivial image80C4:C4:7C10160,179

Non-split extensions G=N.Q with N=C4:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4:C4.1C10 = C5xQ8:C4φ: C10/C5 → C2 ⊆ Out C4:C4160C4:C4.1C10160,53
C4:C4.2C10 = C5xC4.Q8φ: C10/C5 → C2 ⊆ Out C4:C4160C4:C4.2C10160,56
C4:C4.3C10 = C5xC2.D8φ: C10/C5 → C2 ⊆ Out C4:C4160C4:C4.3C10160,57
C4:C4.4C10 = C5xC42.C2φ: C10/C5 → C2 ⊆ Out C4:C4160C4:C4.4C10160,186
C4:C4.5C10 = C5xC4:Q8φ: C10/C5 → C2 ⊆ Out C4:C4160C4:C4.5C10160,189
C4:C4.6C10 = Q8xC20φ: trivial image160C4:C4.6C10160,180

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