Extensions 1→N→G→Q→1 with N=Dic52 and Q=C2

Direct product G=N×Q with N=Dic52 and Q=C2
dρLabelID
C2×Dic52416C2xDic52416,126

Semidirect products G=N:Q with N=Dic52 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic521C2 = C16⋊D13φ: C2/C1C2 ⊆ Out Dic522082Dic52:1C2416,7
Dic522C2 = C8.D26φ: C2/C1C2 ⊆ Out Dic522084-Dic52:2C2416,130
Dic523C2 = D8.D13φ: C2/C1C2 ⊆ Out Dic522084-Dic52:3C2416,34
Dic524C2 = D83D13φ: C2/C1C2 ⊆ Out Dic522084-Dic52:4C2416,133
Dic525C2 = Q16×D13φ: C2/C1C2 ⊆ Out Dic522084-Dic52:5C2416,138
Dic526C2 = D4.D26φ: C2/C1C2 ⊆ Out Dic522084-Dic52:6C2416,136
Dic527C2 = D1047C2φ: trivial image2082Dic52:7C2416,125

Non-split extensions G=N.Q with N=Dic52 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic52.1C2 = Dic104φ: C2/C1C2 ⊆ Out Dic524162-Dic52.1C2416,8
Dic52.2C2 = C13⋊Q32φ: C2/C1C2 ⊆ Out Dic524164-Dic52.2C2416,36

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