Extensions 1→N→G→Q→1 with N=C28 and Q=C14

Direct product G=N×Q with N=C28 and Q=C14
dρLabelID
C14×C28392C14xC28392,33

Semidirect products G=N:Q with N=C28 and Q=C14
extensionφ:Q→Aut NdρLabelID
C281C14 = C7×D28φ: C14/C7C2 ⊆ Aut C28562C28:1C14392,25
C282C14 = D7×C28φ: C14/C7C2 ⊆ Aut C28562C28:2C14392,24
C283C14 = D4×C72φ: C14/C7C2 ⊆ Aut C28196C28:3C14392,34

Non-split extensions G=N.Q with N=C28 and Q=C14
extensionφ:Q→Aut NdρLabelID
C28.1C14 = C7×Dic14φ: C14/C7C2 ⊆ Aut C28562C28.1C14392,23
C28.2C14 = C7×C7⋊C8φ: C14/C7C2 ⊆ Aut C28562C28.2C14392,14
C28.3C14 = D4×C49φ: C14/C7C2 ⊆ Aut C281962C28.3C14392,9
C28.4C14 = Q8×C49φ: C14/C7C2 ⊆ Aut C283922C28.4C14392,10
C28.5C14 = Q8×C72φ: C14/C7C2 ⊆ Aut C28392C28.5C14392,35

׿
×
𝔽