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Extensions 1→N→G→Q→1 with N=C40⋊6C4 and Q=C2

Direct product G=N×Q with N=C40⋊6C4 and Q=C2
dρLabelID
C2×C40⋊6C4320C2xC40:6C4320,731

Semidirect products G=N:Q with N=C40⋊6C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40⋊6C4⋊1C2 = D40⋊8C4φ: C2/C1 → C2 ⊆ Out C40⋊6C4804C40:6C4:1C2320,76
C40⋊6C4⋊2C2 = D40⋊9C4φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:2C2320,338
C40⋊6C4⋊3C2 = C23.47D20φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:3C2320,748
C40⋊6C4⋊4C2 = C40⋊3D4φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:4C2320,762
C40⋊6C4⋊5C2 = C40.4D4φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:5C2320,764
C40⋊6C4⋊6C2 = C23.34D20φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:6C2320,348
C40⋊6C4⋊7C2 = C23.10D20φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:7C2320,350
C40⋊6C4⋊8C2 = C23.38D20φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:8C2320,362
C40⋊6C4⋊9C2 = C23.13D20φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:9C2320,364
C40⋊6C4⋊10C2 = D4⋊Dic10φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:10C2320,388
C40⋊6C4⋊11C2 = D4.Dic10φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:11C2320,390
C40⋊6C4⋊12C2 = D10.16SD16φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:12C2320,404
C40⋊6C4⋊13C2 = C40⋊6C4⋊C2φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:13C2320,406
C40⋊6C4⋊14C2 = D10.11SD16φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:14C2320,432
C40⋊6C4⋊15C2 = D10⋊1C8.C2φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:15C2320,442
C40⋊6C4⋊16C2 = D20⋊3Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:16C2320,469
C40⋊6C4⋊17C2 = D20.3Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:17C2320,474
C40⋊6C4⋊18C2 = C40⋊30D4φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:18C2320,741
C40⋊6C4⋊19C2 = C40⋊20(C2×C4)φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:19C2320,508
C40⋊6C4⋊20C2 = D8⋊Dic5φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:20C2320,779
C40⋊6C4⋊21C2 = C40⋊12D4φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:21C2320,786
C40⋊6C4⋊22C2 = C40.36D4φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:22C2320,816
C40⋊6C4⋊23C2 = D8⋊2Dic5φ: C2/C1 → C2 ⊆ Out C40⋊6C4804C40:6C4:23C2320,124
C40⋊6C4⋊24C2 = D5×C4.Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:24C2320,486
C40⋊6C4⋊25C2 = (C8×D5)⋊C4φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:25C2320,487
C40⋊6C4⋊26C2 = SD16×Dic5φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:26C2320,788
C40⋊6C4⋊27C2 = C40⋊14D4φ: C2/C1 → C2 ⊆ Out C40⋊6C4160C40:6C4:27C2320,798
C40⋊6C4⋊28C2 = C4×C40⋊C2φ: trivial image160C40:6C4:28C2320,318
C40⋊6C4⋊29C2 = C23.22D20φ: trivial image160C40:6C4:29C2320,733

Non-split extensions G=N.Q with N=C40⋊6C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40⋊6C4.1C2 = C40.Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4804C40:6C4.1C2320,71
C40⋊6C4.2C2 = C8⋊Dic10φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.2C2320,329
C40⋊6C4.3C2 = Dic20⋊9C4φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.3C2320,343
C40⋊6C4.4C2 = C40⋊9Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.4C2320,307
C40⋊6C4.5C2 = C40.13Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.5C2320,310
C40⋊6C4.6C2 = Q8⋊Dic10φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.6C2320,418
C40⋊6C4.7C2 = Q8.2Dic10φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.7C2320,426
C40⋊6C4.8C2 = Dic10.3Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.8C2320,456
C40⋊6C4.9C2 = Dic10⋊4Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.9C2320,478
C40⋊6C4.10C2 = C40⋊4Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.10C2320,503
C40⋊6C4.11C2 = Q16⋊Dic5φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.11C2320,811
C40⋊6C4.12C2 = C40.6Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4804C40:6C4.12C2320,52
C40⋊6C4.13C2 = C40⋊5Q8φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.13C2320,482
C40⋊6C4.14C2 = C8.8Dic10φ: C2/C1 → C2 ⊆ Out C40⋊6C4320C40:6C4.14C2320,485

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