Extensions 1→N→G→Q→1 with N=D40:7C2 and Q=C2

Direct product G=NxQ with N=D40:7C2 and Q=C2
dρLabelID
C2xD40:7C2160C2xD40:7C2320,1413

Semidirect products G=N:Q with N=D40:7C2 and Q=C2
extensionφ:Q→Out NdρLabelID
D40:7C2:1C2 = D80:7C2φ: C2/C1C2 ⊆ Out D40:7C21602D40:7C2:1C2320,531
D40:7C2:2C2 = D8.D10φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2:2C2320,774
D40:7C2:3C2 = D8:13D10φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2:3C2320,1429
D40:7C2:4C2 = D20.30D4φ: C2/C1C2 ⊆ Out D40:7C21604D40:7C2:4C2320,1438
D40:7C2:5C2 = C40.30C23φ: C2/C1C2 ⊆ Out D40:7C21604D40:7C2:5C2320,821
D40:7C2:6C2 = D5xC4oD8φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2:6C2320,1439
D40:7C2:7C2 = Q16:D10φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2:7C2320,1440
D40:7C2:8C2 = D20.29D4φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2:8C2320,1434
D40:7C2:9C2 = D80:C2φ: C2/C1C2 ⊆ Out D40:7C2804+D40:7C2:9C2320,535
D40:7C2:10C2 = C40.9C23φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2:10C2320,1420
D40:7C2:11C2 = D4.11D20φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2:11C2320,1423
D40:7C2:12C2 = D4.12D20φ: C2/C1C2 ⊆ Out D40:7C2804+D40:7C2:12C2320,1424
D40:7C2:13C2 = D4.13D20φ: C2/C1C2 ⊆ Out D40:7C21604-D40:7C2:13C2320,1425

Non-split extensions G=N.Q with N=D40:7C2 and Q=C2
extensionφ:Q→Out NdρLabelID
D40:7C2.1C2 = D40.3C4φ: C2/C1C2 ⊆ Out D40:7C21602D40:7C2.1C2320,68
D40:7C2.2C2 = Q16.D10φ: C2/C1C2 ⊆ Out D40:7C21604D40:7C2.2C2320,806
D40:7C2.3C2 = D40.5C4φ: C2/C1C2 ⊆ Out D40:7C21604D40:7C2.3C2320,55
D40:7C2.4C2 = D40:16C4φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2.4C2320,521
D40:7C2.5C2 = D40:13C4φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2.5C2320,522
D40:7C2.6C2 = D40:14C4φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2.6C2320,46
D40:7C2.7C2 = D40:8C4φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2.7C2320,76
D40:7C2.8C2 = D40:10C4φ: C2/C1C2 ⊆ Out D40:7C2804D40:7C2.8C2320,344
D40:7C2.9C2 = C16.D10φ: C2/C1C2 ⊆ Out D40:7C21604-D40:7C2.9C2320,536
D40:7C2.10C2 = D40:17C4φ: trivial image802D40:7C2.10C2320,327

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