Extensions 1→N→G→Q→1 with N=Dic7 and Q=SD16

Direct product G=N×Q with N=Dic7 and Q=SD16
dρLabelID
SD16×Dic7224SD16xDic7448,695

Semidirect products G=N:Q with N=Dic7 and Q=SD16
extensionφ:Q→Out NdρLabelID
Dic71SD16 = C5615D4φ: SD16/C8C2 ⊆ Out Dic7224Dic7:1SD16448,709
Dic72SD16 = Dic7⋊SD16φ: SD16/D4C2 ⊆ Out Dic7224Dic7:2SD16448,352
Dic73SD16 = Dic73SD16φ: SD16/D4C2 ⊆ Out Dic7224Dic7:3SD16448,696
Dic74SD16 = Dic142D4φ: SD16/Q8C2 ⊆ Out Dic7224Dic7:4SD16448,296
Dic75SD16 = Dic75SD16φ: SD16/Q8C2 ⊆ Out Dic7224Dic7:5SD16448,697
Dic76SD16 = Dic76SD16φ: trivial image224Dic7:6SD16448,292
Dic77SD16 = Dic77SD16φ: trivial image224Dic7:7SD16448,322
Dic78SD16 = Dic78SD16φ: trivial image224Dic7:8SD16448,386

Non-split extensions G=N.Q with N=Dic7 and Q=SD16
extensionφ:Q→Out NdρLabelID
Dic7.1SD16 = Dic7.SD16φ: SD16/C8C2 ⊆ Out Dic7224Dic7.1SD16448,294
Dic7.2SD16 = Dic7.1Q16φ: SD16/C8C2 ⊆ Out Dic7448Dic7.2SD16448,326
Dic7.3SD16 = C565Q8φ: SD16/C8C2 ⊆ Out Dic7448Dic7.3SD16448,389
Dic7.4SD16 = D4⋊Dic14φ: SD16/D4C2 ⊆ Out Dic7224Dic7.4SD16448,295
Dic7.5SD16 = D28⋊Q8φ: SD16/D4C2 ⊆ Out Dic7224Dic7.5SD16448,404
Dic7.6SD16 = Q8⋊Dic14φ: SD16/Q8C2 ⊆ Out Dic7448Dic7.6SD16448,325
Dic7.7SD16 = Dic14⋊Q8φ: SD16/Q8C2 ⊆ Out Dic7448Dic7.7SD16448,388

׿
×
𝔽