Extensions 1→N→G→Q→1 with N=C14 and Q=D10

Direct product G=N×Q with N=C14 and Q=D10
dρLabelID
D5×C2×C14140D5xC2xC14280,38

Semidirect products G=N:Q with N=C14 and Q=D10
extensionφ:Q→Aut NdρLabelID
C141D10 = C2×D5×D7φ: D10/D5C2 ⊆ Aut C14704+C14:1D10280,36
C142D10 = C22×D35φ: D10/C10C2 ⊆ Aut C14140C14:2D10280,39

Non-split extensions G=N.Q with N=C14 and Q=D10
extensionφ:Q→Aut NdρLabelID
C14.1D10 = D7×Dic5φ: D10/D5C2 ⊆ Aut C141404-C14.1D10280,7
C14.2D10 = D5×Dic7φ: D10/D5C2 ⊆ Aut C141404-C14.2D10280,8
C14.3D10 = D70.C2φ: D10/D5C2 ⊆ Aut C141404+C14.3D10280,9
C14.4D10 = C35⋊D4φ: D10/D5C2 ⊆ Aut C141404-C14.4D10280,10
C14.5D10 = C5⋊D28φ: D10/D5C2 ⊆ Aut C141404+C14.5D10280,11
C14.6D10 = C7⋊D20φ: D10/D5C2 ⊆ Aut C141404+C14.6D10280,12
C14.7D10 = C35⋊Q8φ: D10/D5C2 ⊆ Aut C142804-C14.7D10280,13
C14.8D10 = Dic70φ: D10/C10C2 ⊆ Aut C142802-C14.8D10280,24
C14.9D10 = C4×D35φ: D10/C10C2 ⊆ Aut C141402C14.9D10280,25
C14.10D10 = D140φ: D10/C10C2 ⊆ Aut C141402+C14.10D10280,26
C14.11D10 = C2×Dic35φ: D10/C10C2 ⊆ Aut C14280C14.11D10280,27
C14.12D10 = C357D4φ: D10/C10C2 ⊆ Aut C141402C14.12D10280,28
C14.13D10 = C7×Dic10central extension (φ=1)2802C14.13D10280,19
C14.14D10 = D5×C28central extension (φ=1)1402C14.14D10280,20
C14.15D10 = C7×D20central extension (φ=1)1402C14.15D10280,21
C14.16D10 = C14×Dic5central extension (φ=1)280C14.16D10280,22
C14.17D10 = C7×C5⋊D4central extension (φ=1)1402C14.17D10280,23

׿
×
𝔽