Extensions 1→N→G→Q→1 with N=C10 and Q=D7

Direct product G=N×Q with N=C10 and Q=D7
dρLabelID
C10×D7702C10xD7140,8

Semidirect products G=N:Q with N=C10 and Q=D7
extensionφ:Q→Aut NdρLabelID
C10⋊D7 = D70φ: D7/C7C2 ⊆ Aut C10702+C10:D7140,10

Non-split extensions G=N.Q with N=C10 and Q=D7
extensionφ:Q→Aut NdρLabelID
C10.D7 = Dic35φ: D7/C7C2 ⊆ Aut C101402-C10.D7140,3
C10.2D7 = C5×Dic7central extension (φ=1)1402C10.2D7140,2

׿
×
𝔽