Extensions 1→N→G→Q→1 with N=D14 and Q=D5

Direct product G=N×Q with N=D14 and Q=D5
dρLabelID
C2×D5×D7704+C2xD5xD7280,36

Semidirect products G=N:Q with N=D14 and Q=D5
extensionφ:Q→Out NdρLabelID
D141D5 = C35⋊D4φ: D5/C5C2 ⊆ Out D141404-D14:1D5280,10
D142D5 = C5⋊D28φ: D5/C5C2 ⊆ Out D141404+D14:2D5280,11

Non-split extensions G=N.Q with N=D14 and Q=D5
extensionφ:Q→Out NdρLabelID
D14.D5 = D7×Dic5φ: trivial image1404-D14.D5280,7

׿
×
𝔽