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Extensions 1→N→G→Q→1 with N=C40⋊8C4 and Q=C2

Direct product G=N×Q with N=C40⋊8C4 and Q=C2
dρLabelID
C2×C40⋊8C4320C2xC40:8C4320,727

Semidirect products G=N:Q with N=C40⋊8C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40⋊8C4⋊1C2 = D40⋊16C4φ: C2/C1 → C2 ⊆ Out C40⋊8C4804C40:8C4:1C2320,521
C40⋊8C4⋊2C2 = D8⋊4Dic5φ: C2/C1 → C2 ⊆ Out C40⋊8C4804C40:8C4:2C2320,824
C40⋊8C4⋊3C2 = D40⋊15C4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:3C2320,496
C40⋊8C4⋊4C2 = SD16⋊Dic5φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:4C2320,791
C40⋊8C4⋊5C2 = C40.31D4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:5C2320,794
C40⋊8C4⋊6C2 = C40⋊9D4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:6C2320,803
C40⋊8C4⋊7C2 = C40⋊21(C2×C4)φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:7C2320,516
C40⋊8C4⋊8C2 = D8⋊Dic5φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:8C2320,779
C40⋊8C4⋊9C2 = C40⋊11D4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:9C2320,781
C40⋊8C4⋊10C2 = C40.37D4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:10C2320,817
C40⋊8C4⋊11C2 = Dic5.9M4(2)φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:11C2320,346
C40⋊8C4⋊12C2 = C40⋊8C4⋊C2φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:12C2320,347
C40⋊8C4⋊13C2 = D10⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:13C2320,355
C40⋊8C4⋊14C2 = C5⋊2C8⋊26D4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:14C2320,357
C40⋊8C4⋊15C2 = D4.D5⋊5C4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:15C2320,384
C40⋊8C4⋊16C2 = C4⋊C4.D10φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:16C2320,391
C40⋊8C4⋊17C2 = C20⋊Q8⋊C2φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:17C2320,392
C40⋊8C4⋊18C2 = D4⋊D5⋊6C4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:18C2320,412
C40⋊8C4⋊19C2 = Q8⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:19C2320,422
C40⋊8C4⋊20C2 = Q8⋊D5⋊6C4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:20C2320,444
C40⋊8C4⋊21C2 = C42.202D10φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:21C2320,462
C40⋊8C4⋊22C2 = C42.31D10φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:22C2320,467
C40⋊8C4⋊23C2 = C40⋊32D4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:23C2320,738
C40⋊8C4⋊24C2 = D5×C8⋊C4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:24C2320,331
C40⋊8C4⋊25C2 = D10.7C42φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:25C2320,335
C40⋊8C4⋊26C2 = M4(2)×Dic5φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:26C2320,744
C40⋊8C4⋊27C2 = C20.37C42φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:27C2320,749
C40⋊8C4⋊28C2 = C40⋊D4φ: C2/C1 → C2 ⊆ Out C40⋊8C4160C40:8C4:28C2320,754
C40⋊8C4⋊29C2 = C40.50D4φ: C2/C1 → C2 ⊆ Out C40⋊8C4804C40:8C4:29C2320,772
C40⋊8C4⋊30C2 = C4×C8⋊D5φ: trivial image160C40:8C4:30C2320,314
C40⋊8C4⋊31C2 = D10.5C42φ: trivial image160C40:8C4:31C2320,316
C40⋊8C4⋊32C2 = C20.42C42φ: trivial image160C40:8C4:32C2320,728

Non-split extensions G=N.Q with N=C40⋊8C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40⋊8C4.1C2 = Dic20⋊15C4φ: C2/C1 → C2 ⊆ Out C40⋊8C4320C40:8C4.1C2320,480
C40⋊8C4.2C2 = C40⋊3Q8φ: C2/C1 → C2 ⊆ Out C40⋊8C4320C40:8C4.2C2320,483
C40⋊8C4.3C2 = C40⋊4Q8φ: C2/C1 → C2 ⊆ Out C40⋊8C4320C40:8C4.3C2320,503
C40⋊8C4.4C2 = Q16⋊Dic5φ: C2/C1 → C2 ⊆ Out C40⋊8C4320C40:8C4.4C2320,811
C40⋊8C4.5C2 = C20.23C42φ: C2/C1 → C2 ⊆ Out C40⋊8C4804C40:8C4.5C2320,228
C40⋊8C4.6C2 = C40⋊11Q8φ: C2/C1 → C2 ⊆ Out C40⋊8C4320C40:8C4.6C2320,306
C40⋊8C4.7C2 = C5⋊Q16⋊5C4φ: C2/C1 → C2 ⊆ Out C40⋊8C4320C40:8C4.7C2320,416
C40⋊8C4.8C2 = C40⋊8C4.C2φ: C2/C1 → C2 ⊆ Out C40⋊8C4320C40:8C4.8C2320,424
C40⋊8C4.9C2 = Dic5.5M4(2)φ: C2/C1 → C2 ⊆ Out C40⋊8C4320C40:8C4.9C2320,455
C40⋊8C4.10C2 = C42.198D10φ: C2/C1 → C2 ⊆ Out C40⋊8C4320C40:8C4.10C2320,458
C40⋊8C4.11C2 = C80⋊C4φ: C2/C1 → C2 ⊆ Out C40⋊8C4804C40:8C4.11C2320,70
C40⋊8C4.12C2 = C40⋊Q8φ: C2/C1 → C2 ⊆ Out C40⋊8C4320C40:8C4.12C2320,328

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