Extensions 1→N→G→Q→1 with N=D52:5C2 and Q=C2

Direct product G=NxQ with N=D52:5C2 and Q=C2
dρLabelID
C2xD52:5C2208C2xD52:5C2416,215

Semidirect products G=N:Q with N=D52:5C2 and Q=C2
extensionφ:Q→Out NdρLabelID
D52:5C2:1C2 = D104:7C2φ: C2/C1C2 ⊆ Out D52:5C22082D52:5C2:1C2416,125
D52:5C2:2C2 = C8:D26φ: C2/C1C2 ⊆ Out D52:5C21044+D52:5C2:2C2416,129
D52:5C2:3C2 = D52:6C22φ: C2/C1C2 ⊆ Out D52:5C21044D52:5C2:3C2416,153
D52:5C2:4C2 = C52.C23φ: C2/C1C2 ⊆ Out D52:5C22084D52:5C2:4C2416,171
D52:5C2:5C2 = D4:6D26φ: C2/C1C2 ⊆ Out D52:5C21044D52:5C2:5C2416,218
D52:5C2:6C2 = Q8.10D26φ: C2/C1C2 ⊆ Out D52:5C22084D52:5C2:6C2416,221
D52:5C2:7C2 = C4oD4xD13φ: C2/C1C2 ⊆ Out D52:5C21044D52:5C2:7C2416,222
D52:5C2:8C2 = D4:8D26φ: C2/C1C2 ⊆ Out D52:5C21044+D52:5C2:8C2416,223
D52:5C2:9C2 = D4.10D26φ: C2/C1C2 ⊆ Out D52:5C22084-D52:5C2:9C2416,224

Non-split extensions G=N.Q with N=D52:5C2 and Q=C2
extensionφ:Q→Out NdρLabelID
D52:5C2.1C2 = D52:4C4φ: C2/C1C2 ⊆ Out D52:5C21042D52:5C2.1C2416,12
D52:5C2.2C2 = D52:7C4φ: C2/C1C2 ⊆ Out D52:5C21044D52:5C2.2C2416,32
D52:5C2.3C2 = D52.2C4φ: C2/C1C2 ⊆ Out D52:5C22084D52:5C2.3C2416,128
D52:5C2.4C2 = C8.D26φ: C2/C1C2 ⊆ Out D52:5C22084-D52:5C2.4C2416,130
D52:5C2.5C2 = Q8.D26φ: C2/C1C2 ⊆ Out D52:5C22084D52:5C2.5C2416,163
D52:5C2.6C2 = D52.3C4φ: trivial image2082D52:5C2.6C2416,122

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