Extensions 1→N→G→Q→1 with N=Dic5 and Q=SD16

Direct product G=N×Q with N=Dic5 and Q=SD16
dρLabelID
SD16×Dic5160SD16xDic5320,788

Semidirect products G=N:Q with N=Dic5 and Q=SD16
extensionφ:Q→Out NdρLabelID
Dic51SD16 = C4015D4φ: SD16/C8C2 ⊆ Out Dic5160Dic5:1SD16320,802
Dic52SD16 = Dic5⋊SD16φ: SD16/D4C2 ⊆ Out Dic5160Dic5:2SD16320,445
Dic53SD16 = Dic53SD16φ: SD16/D4C2 ⊆ Out Dic5160Dic5:3SD16320,789
Dic54SD16 = Dic102D4φ: SD16/Q8C2 ⊆ Out Dic5160Dic5:4SD16320,389
Dic55SD16 = Dic55SD16φ: SD16/Q8C2 ⊆ Out Dic5160Dic5:5SD16320,790
Dic56SD16 = Dic56SD16φ: trivial image160Dic5:6SD16320,385
Dic57SD16 = Dic57SD16φ: trivial image160Dic5:7SD16320,415
Dic58SD16 = Dic58SD16φ: trivial image160Dic5:8SD16320,479

Non-split extensions G=N.Q with N=Dic5 and Q=SD16
extensionφ:Q→Out NdρLabelID
Dic5.1SD16 = C804C4φ: SD16/C4C22 ⊆ Out Dic5804Dic5.1SD16320,185
Dic5.2SD16 = C805C4φ: SD16/C4C22 ⊆ Out Dic5804Dic5.2SD16320,186
Dic5.3SD16 = Dic5.D8φ: SD16/C4C22 ⊆ Out Dic5320Dic5.3SD16320,211
Dic5.4SD16 = D5.D16φ: SD16/C4C22 ⊆ Out Dic5808+Dic5.4SD16320,242
Dic5.5SD16 = D5.Q32φ: SD16/C4C22 ⊆ Out Dic5808-Dic5.5SD16320,246
Dic5.6SD16 = Dic5.SD16φ: SD16/C4C22 ⊆ Out Dic5160Dic5.6SD16320,263
Dic5.7SD16 = Dic5.Q16φ: SD16/C4C22 ⊆ Out Dic5320Dic5.7SD16320,269
Dic5.8SD16 = Dic5.5D8φ: SD16/C8C2 ⊆ Out Dic5160Dic5.8SD16320,387
Dic5.9SD16 = Dic5.3Q16φ: SD16/C8C2 ⊆ Out Dic5320Dic5.9SD16320,419
Dic5.10SD16 = C405Q8φ: SD16/C8C2 ⊆ Out Dic5320Dic5.10SD16320,482
Dic5.11SD16 = C402C8φ: SD16/C8C2 ⊆ Out Dic5320Dic5.11SD16320,219
Dic5.12SD16 = C20.26M4(2)φ: SD16/C8C2 ⊆ Out Dic5320Dic5.12SD16320,221
Dic5.13SD16 = D4⋊Dic10φ: SD16/D4C2 ⊆ Out Dic5160Dic5.13SD16320,388
Dic5.14SD16 = D20⋊Q8φ: SD16/D4C2 ⊆ Out Dic5160Dic5.14SD16320,497
Dic5.15SD16 = D20⋊C8φ: SD16/D4C2 ⊆ Out Dic5160Dic5.15SD16320,209
Dic5.16SD16 = D10.D8φ: SD16/D4C2 ⊆ Out Dic5808-Dic5.16SD16320,241
Dic5.17SD16 = D401C4φ: SD16/D4C2 ⊆ Out Dic5808+Dic5.17SD16320,245
Dic5.18SD16 = Dic5.23D8φ: SD16/D4C2 ⊆ Out Dic5160Dic5.18SD16320,262
Dic5.19SD16 = Q8⋊Dic10φ: SD16/Q8C2 ⊆ Out Dic5320Dic5.19SD16320,418
Dic5.20SD16 = Dic10⋊Q8φ: SD16/Q8C2 ⊆ Out Dic5320Dic5.20SD16320,481
Dic5.21SD16 = Dic101C8φ: SD16/Q8C2 ⊆ Out Dic5320Dic5.21SD16320,210
Dic5.22SD16 = Dic5.12Q16φ: SD16/Q8C2 ⊆ Out Dic5320Dic5.22SD16320,268

׿
×
𝔽