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Extensions 1→N→G→Q→1 with N=C20.55D4 and Q=C2

Direct product G=N×Q with N=C20.55D4 and Q=C2
dρLabelID
C2×C20.55D4160C2xC20.55D4320,833

Semidirect products G=N:Q with N=C20.55D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.55D4⋊1C2 = (C2×D20)⋊C4φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:1C2320,9
C20.55D4⋊2C2 = C22⋊C8⋊D5φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:2C2320,354
C20.55D4⋊3C2 = C20⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:3C2320,639
C20.55D4⋊4C2 = (C2×C10).40D8φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:4C2320,594
C20.55D4⋊5C2 = C4⋊C4.228D10φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:5C2320,595
C20.55D4⋊6C2 = C4⋊C4.236D10φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:6C2320,630
C20.55D4⋊7C2 = (C2×C10).D8φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:7C2320,660
C20.55D4⋊8C2 = C4⋊D4.D5φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:8C2320,661
C20.55D4⋊9C2 = (C2×D4).D10φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:9C2320,662
C20.55D4⋊10C2 = D20⋊16D4φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:10C2320,663
C20.55D4⋊11C2 = D20⋊17D4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:11C2320,664
C20.55D4⋊12C2 = Dic10⋊17D4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:12C2320,667
C20.55D4⋊13C2 = D20.36D4φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:13C2320,673
C20.55D4⋊14C2 = D20.37D4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:14C2320,674
C20.55D4⋊15C2 = (C2×C10)⋊8D8φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:15C2320,844
C20.55D4⋊16C2 = (C5×D4).31D4φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:16C2320,845
C20.55D4⋊17C2 = (C5×Q8)⋊13D4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:17C2320,854
C20.55D4⋊18C2 = (C5×D4)⋊14D4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:18C2320,865
C20.55D4⋊19C2 = (C5×D4).32D4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:19C2320,866
C20.55D4⋊20C2 = C5⋊3(C23⋊C8)φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:20C2320,26
C20.55D4⋊21C2 = C24.Dic5φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:21C2320,83
C20.55D4⋊22C2 = D5×C22⋊C8φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:22C2320,351
C20.55D4⋊23C2 = D10⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:23C2320,353
C20.55D4⋊24C2 = D4×C5⋊2C8φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:24C2320,637
C20.55D4⋊25C2 = C42.47D10φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:25C2320,638
C20.55D4⋊26C2 = C40⋊32D4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:26C2320,738
C20.55D4⋊27C2 = C24.4Dic5φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:27C2320,834
C20.55D4⋊28C2 = C4⋊C4⋊Dic5φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4:28C2320,95
C20.55D4⋊29C2 = C40⋊D4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:29C2320,754
C20.55D4⋊30C2 = C40⋊18D4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:30C2320,755
C20.55D4⋊31C2 = (D4×C10).24C4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4:31C2320,861
C20.55D4⋊32C2 = C8×C5⋊D4φ: trivial image160C20.55D4:32C2320,736

Non-split extensions G=N.Q with N=C20.55D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.55D4.1C2 = C4⋊Dic5⋊C4φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4.1C2320,10
C20.55D4.2C2 = C40⋊8C4⋊C2φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.2C2320,347
C20.55D4.3C2 = C4⋊C4.230D10φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.3C2320,597
C20.55D4.4C2 = C4⋊C4.231D10φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.4C2320,598
C20.55D4.5C2 = C4⋊C4.233D10φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.5C2320,623
C20.55D4.6C2 = C22⋊Q8.D5φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.6C2320,670
C20.55D4.7C2 = (C2×C10).Q16φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.7C2320,671
C20.55D4.8C2 = C10.(C4○D8)φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.8C2320,672
C20.55D4.9C2 = Dic10.37D4φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.9C2320,677
C20.55D4.10C2 = (C2×C10)⋊8Q16φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.10C2320,855
C20.55D4.11C2 = (C2×Dic5)⋊C8φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.11C2320,27
C20.55D4.12C2 = (C2×C20)⋊C8φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.12C2320,86
C20.55D4.13C2 = Dic5.14M4(2)φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.13C2320,345
C20.55D4.14C2 = Dic5.9M4(2)φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.14C2320,346
C20.55D4.15C2 = C42.7Dic5φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.15C2320,553
C20.55D4.16C2 = C10.29C4≀C2φ: C2/C1 → C2 ⊆ Out C20.55D480C20.55D4.16C2320,96
C20.55D4.17C2 = C42.187D10φ: C2/C1 → C2 ⊆ Out C20.55D4160C20.55D4.17C2320,627
C20.55D4.18C2 = C42.6Dic5φ: trivial image160C20.55D4.18C2320,552

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