Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×C14

Direct product G=N×Q with N=Q8 and Q=C2×C14

Semidirect products G=N:Q with N=Q8 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
Q81(C2×C14) = C14×SD16φ: C2×C14/C14C2 ⊆ Out Q8112Q8:1(C2xC14)224,168
Q82(C2×C14) = C7×C8⋊C22φ: C2×C14/C14C2 ⊆ Out Q8564Q8:2(C2xC14)224,171
Q83(C2×C14) = C14×C4○D4φ: trivial image112Q8:3(C2xC14)224,192
Q84(C2×C14) = C7×2+ 1+4φ: trivial image564Q8:4(C2xC14)224,193

Non-split extensions G=N.Q with N=Q8 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
Q8.1(C2×C14) = C14×Q16φ: C2×C14/C14C2 ⊆ Out Q8224Q8.1(C2xC14)224,169
Q8.2(C2×C14) = C7×C4○D8φ: C2×C14/C14C2 ⊆ Out Q81122Q8.2(C2xC14)224,170
Q8.3(C2×C14) = C7×C8.C22φ: C2×C14/C14C2 ⊆ Out Q81124Q8.3(C2xC14)224,172
Q8.4(C2×C14) = C7×2- 1+4φ: trivial image1124Q8.4(C2xC14)224,194