Extensions 1→N→G→Q→1 with N=D4 and Q=C2×C14

Direct product G=N×Q with N=D4 and Q=C2×C14

Semidirect products G=N:Q with N=D4 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
D41(C2×C14) = C14×D8φ: C2×C14/C14C2 ⊆ Out D4112D4:1(C2xC14)224,167
D42(C2×C14) = C7×C8⋊C22φ: C2×C14/C14C2 ⊆ Out D4564D4:2(C2xC14)224,171
D43(C2×C14) = C14×C4○D4φ: trivial image112D4:3(C2xC14)224,192
D44(C2×C14) = C7×2+ 1+4φ: trivial image564D4:4(C2xC14)224,193

Non-split extensions G=N.Q with N=D4 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
D4.1(C2×C14) = C14×SD16φ: C2×C14/C14C2 ⊆ Out D4112D4.1(C2xC14)224,168
D4.2(C2×C14) = C7×C4○D8φ: C2×C14/C14C2 ⊆ Out D41122D4.2(C2xC14)224,170
D4.3(C2×C14) = C7×C8.C22φ: C2×C14/C14C2 ⊆ Out D41124D4.3(C2xC14)224,172
D4.4(C2×C14) = C7×2- 1+4φ: trivial image1124D4.4(C2xC14)224,194