Extensions 1→N→G→Q→1 with N=C14 and Q=C2×C10

Direct product G=N×Q with N=C14 and Q=C2×C10

Semidirect products G=N:Q with N=C14 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C14⋊(C2×C10) = D7×C2×C10φ: C2×C10/C10C2 ⊆ Aut C14140C14:(C2xC10)280,37

Non-split extensions G=N.Q with N=C14 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C14.1(C2×C10) = C5×Dic14φ: C2×C10/C10C2 ⊆ Aut C142802C14.1(C2xC10)280,14
C14.2(C2×C10) = D7×C20φ: C2×C10/C10C2 ⊆ Aut C141402C14.2(C2xC10)280,15
C14.3(C2×C10) = C5×D28φ: C2×C10/C10C2 ⊆ Aut C141402C14.3(C2xC10)280,16
C14.4(C2×C10) = C10×Dic7φ: C2×C10/C10C2 ⊆ Aut C14280C14.4(C2xC10)280,17
C14.5(C2×C10) = C5×C7⋊D4φ: C2×C10/C10C2 ⊆ Aut C141402C14.5(C2xC10)280,18
C14.6(C2×C10) = D4×C35central extension (φ=1)1402C14.6(C2xC10)280,30
C14.7(C2×C10) = Q8×C35central extension (φ=1)2802C14.7(C2xC10)280,31