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Extensions 1→N→G→Q→1 with N=C4⋊Q8 and Q=D5

Direct product G=N×Q with N=C4⋊Q8 and Q=D5
dρLabelID
D5×C4⋊Q8160D5xC4:Q8320,1395

Semidirect products G=N:Q with N=C4⋊Q8 and Q=D5
extensionφ:Q→Out NdρLabelID
C4⋊Q8⋊1D5 = C20⋊5SD16φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:1D5320,710
C4⋊Q8⋊2D5 = D20⋊5Q8φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:2D5320,711
C4⋊Q8⋊3D5 = C20⋊6SD16φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:3D5320,712
C4⋊Q8⋊4D5 = C42.80D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:4D5320,713
C4⋊Q8⋊5D5 = D20⋊6Q8φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:5D5320,714
C4⋊Q8⋊6D5 = C20.D8φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:6D5320,715
C4⋊Q8⋊7D5 = C42.82D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:7D5320,716
C4⋊Q8⋊8D5 = D20.15D4φ: D5/C5 → C2 ⊆ Out C4⋊Q8804C4:Q8:8D5320,722
C4⋊Q8⋊9D5 = C42.171D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:9D5320,1396
C4⋊Q8⋊10D5 = D20⋊12D4φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:10D5320,1398
C4⋊Q8⋊11D5 = D20⋊8Q8φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:11D5320,1399
C4⋊Q8⋊12D5 = C42.174D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:12D5320,1401
C4⋊Q8⋊13D5 = D20⋊9Q8φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:13D5320,1402
C4⋊Q8⋊14D5 = C42.176D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:14D5320,1403
C4⋊Q8⋊15D5 = C42.177D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:15D5320,1404
C4⋊Q8⋊16D5 = C42.178D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:16D5320,1405
C4⋊Q8⋊17D5 = C42.179D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:17D5320,1406
C4⋊Q8⋊18D5 = C42.180D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8160C4:Q8:18D5320,1407
C4⋊Q8⋊19D5 = C42.240D10φ: trivial image160C4:Q8:19D5320,1397
C4⋊Q8⋊20D5 = C42.241D10φ: trivial image160C4:Q8:20D5320,1400

Non-split extensions G=N.Q with N=C4⋊Q8 and Q=D5
extensionφ:Q→Out NdρLabelID
C4⋊Q8.1D5 = C20.5Q16φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.1D5320,104
C4⋊Q8.2D5 = C20.10D8φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.2D5320,105
C4⋊Q8.3D5 = C42.3Dic5φ: D5/C5 → C2 ⊆ Out C4⋊Q8804C4:Q8.3D5320,106
C4⋊Q8.4D5 = C20.17D8φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.4D5320,705
C4⋊Q8.5D5 = C20.SD16φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.5D5320,706
C4⋊Q8.6D5 = C42.76D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.6D5320,707
C4⋊Q8.7D5 = C20.Q16φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.7D5320,708
C4⋊Q8.8D5 = C42.77D10φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.8D5320,709
C4⋊Q8.9D5 = C20⋊Q16φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.9D5320,717
C4⋊Q8.10D5 = Dic10⋊5Q8φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.10D5320,718
C4⋊Q8.11D5 = C20⋊3Q16φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.11D5320,719
C4⋊Q8.12D5 = C20.11Q16φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.12D5320,720
C4⋊Q8.13D5 = Dic10⋊6Q8φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.13D5320,721
C4⋊Q8.14D5 = Dic10⋊8Q8φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.14D5320,1393
C4⋊Q8.15D5 = Dic10⋊9Q8φ: D5/C5 → C2 ⊆ Out C4⋊Q8320C4:Q8.15D5320,1394

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