Extensions 1→N→G→Q→1 with N=D4 and Q=SD16

Direct product G=N×Q with N=D4 and Q=SD16
dρLabelID
D4×SD1632D4xSD16128,2013

Semidirect products G=N:Q with N=D4 and Q=SD16
extensionφ:Q→Out NdρLabelID
D41SD16 = C88D8φ: SD16/C8C2 ⊆ Out D464D4:1SD16128,397
D42SD16 = D42SD16φ: SD16/D4C2 ⊆ Out D432D4:2SD16128,361
D43SD16 = D4.D8φ: SD16/D4C2 ⊆ Out D432D4:3SD16128,371
D44SD16 = D44SD16φ: SD16/D4C2 ⊆ Out D464D4:4SD16128,386
D45SD16 = D4⋊SD16φ: SD16/Q8C2 ⊆ Out D464D4:5SD16128,354
D46SD16 = Q83D8φ: SD16/Q8C2 ⊆ Out D464D4:6SD16128,359
D47SD16 = D47SD16φ: trivial image32D4:7SD16128,2027
D48SD16 = D48SD16φ: trivial image64D4:8SD16128,2030
D49SD16 = D49SD16φ: trivial image64D4:9SD16128,2067

Non-split extensions G=N.Q with N=D4 and Q=SD16
extensionφ:Q→Out NdρLabelID
D4.1SD16 = C811SD16φ: SD16/C8C2 ⊆ Out D464D4.1SD16128,403
D4.2SD16 = D4.2SD16φ: SD16/C8C2 ⊆ Out D464D4.2SD16128,409
D4.3SD16 = D4.3SD16φ: SD16/C8C2 ⊆ Out D464D4.3SD16128,411
D4.4SD16 = D4.SD16φ: SD16/D4C2 ⊆ Out D464D4.4SD16128,367
D4.5SD16 = D4.5SD16φ: SD16/Q8C2 ⊆ Out D464D4.5SD16128,375
D4.6SD16 = Q84SD16φ: SD16/Q8C2 ⊆ Out D464D4.6SD16128,383

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