Extensions 1→N→G→Q→1 with N=Dic5 and Q=D7

Direct product G=N×Q with N=Dic5 and Q=D7
dρLabelID
D7×Dic51404-D7xDic5280,7

Semidirect products G=N:Q with N=Dic5 and Q=D7
extensionφ:Q→Out NdρLabelID
Dic5⋊D7 = C5⋊D28φ: D7/C7C2 ⊆ Out Dic51404+Dic5:D7280,11
Dic52D7 = D70.C2φ: trivial image1404+Dic5:2D7280,9

Non-split extensions G=N.Q with N=Dic5 and Q=D7
extensionφ:Q→Out NdρLabelID
Dic5.1D7 = C35⋊Q8φ: D7/C7C2 ⊆ Out Dic52804-Dic5.1D7280,13
Dic5.2D7 = C35⋊C8φ: D7/C7C2 ⊆ Out Dic52804Dic5.2D7280,6

׿
×
𝔽