Extensions 1→N→G→Q→1 with N=Dic13 and Q=Q8

Direct product G=NxQ with N=Dic13 and Q=Q8
dρLabelID
Q8xDic13416Q8xDic13416,166

Semidirect products G=N:Q with N=Dic13 and Q=Q8
extensionφ:Q→Out NdρLabelID
Dic13:1Q8 = C52:Q8φ: Q8/C4C2 ⊆ Out Dic13416Dic13:1Q8416,109
Dic13:2Q8 = Dic13:Q8φ: Q8/C4C2 ⊆ Out Dic13416Dic13:2Q8416,165
Dic13:3Q8 = Dic13:3Q8φ: trivial image416Dic13:3Q8416,108

Non-split extensions G=N.Q with N=Dic13 and Q=Q8
extensionφ:Q→Out NdρLabelID
Dic13.1Q8 = Dic13.Q8φ: Q8/C4C2 ⊆ Out Dic13416Dic13.1Q8416,110
Dic13.2Q8 = D26.8D4φ: Q8/C4C2 ⊆ Out Dic131044Dic13.2Q8416,68
Dic13.3Q8 = D13.D8φ: Q8/C4C2 ⊆ Out Dic131044Dic13.3Q8416,69
Dic13.4Q8 = C52:C8φ: Q8/C4C2 ⊆ Out Dic13416Dic13.4Q8416,76
Dic13.5Q8 = Dic13:C8φ: Q8/C4C2 ⊆ Out Dic13416Dic13.5Q8416,79

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