Extensions 1→N→G→Q→1 with N=C4○D4 and Q=C14

Direct product G=N×Q with N=C4○D4 and Q=C14
dρLabelID
C14×C4○D4112C14xC4oD4224,192

Semidirect products G=N:Q with N=C4○D4 and Q=C14
extensionφ:Q→Out NdρLabelID
C4○D41C14 = C7×C4○D8φ: C14/C7C2 ⊆ Out C4○D41122C4oD4:1C14224,170
C4○D42C14 = C7×C8⋊C22φ: C14/C7C2 ⊆ Out C4○D4564C4oD4:2C14224,171
C4○D43C14 = C7×2+ 1+4φ: C14/C7C2 ⊆ Out C4○D4564C4oD4:3C14224,193
C4○D44C14 = C7×2- 1+4φ: C14/C7C2 ⊆ Out C4○D41124C4oD4:4C14224,194

Non-split extensions G=N.Q with N=C4○D4 and Q=C14
extensionφ:Q→Out NdρLabelID
C4○D4.1C14 = C7×C4≀C2φ: C14/C7C2 ⊆ Out C4○D4562C4oD4.1C14224,53
C4○D4.2C14 = C7×C8.C22φ: C14/C7C2 ⊆ Out C4○D41124C4oD4.2C14224,172
C4○D4.3C14 = C7×C8○D4φ: trivial image1122C4oD4.3C14224,166

׿
×
𝔽