Extensions 1→N→G→Q→1 with N=D20:7C4 and Q=C2

Direct product G=NxQ with N=D20:7C4 and Q=C2
dρLabelID
C2xD20:7C480C2xD20:7C4320,765

Semidirect products G=N:Q with N=D20:7C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D20:7C4:1C2 = D20.1D4φ: C2/C1C2 ⊆ Out D20:7C4808-D20:7C4:1C2320,373
D20:7C4:2C2 = D20:1D4φ: C2/C1C2 ⊆ Out D20:7C4408+D20:7C4:2C2320,374
D20:7C4:3C2 = D20.4D4φ: C2/C1C2 ⊆ Out D20:7C4808-D20:7C4:3C2320,379
D20:7C4:4C2 = D20.5D4φ: C2/C1C2 ⊆ Out D20:7C4808+D20:7C4:4C2320,380
D20:7C4:5C2 = D5xC4wrC2φ: C2/C1C2 ⊆ Out D20:7C4404D20:7C4:5C2320,447
D20:7C4:6C2 = C42:D10φ: C2/C1C2 ⊆ Out D20:7C4804D20:7C4:6C2320,448
D20:7C4:7C2 = D40:16C4φ: C2/C1C2 ⊆ Out D20:7C4804D20:7C4:7C2320,521
D20:7C4:8C2 = D40:13C4φ: C2/C1C2 ⊆ Out D20:7C4804D20:7C4:8C2320,522
D20:7C4:9C2 = D20:18D4φ: C2/C1C2 ⊆ Out D20:7C4408+D20:7C4:9C2320,825
D20:7C4:10C2 = D20.38D4φ: C2/C1C2 ⊆ Out D20:7C4808-D20:7C4:10C2320,828
D20:7C4:11C2 = D20.39D4φ: C2/C1C2 ⊆ Out D20:7C4808+D20:7C4:11C2320,829
D20:7C4:12C2 = D20.40D4φ: C2/C1C2 ⊆ Out D20:7C4808-D20:7C4:12C2320,832
D20:7C4:13C2 = C23.20D20φ: C2/C1C2 ⊆ Out D20:7C4804D20:7C4:13C2320,766
D20:7C4:14C2 = C40.50D4φ: C2/C1C2 ⊆ Out D20:7C4804D20:7C4:14C2320,772
D20:7C4:15C2 = C40.93D4φ: trivial image804D20:7C4:15C2320,771


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