Extensions 1→N→G→Q→1 with N=C28 and Q=C10

Direct product G=N×Q with N=C28 and Q=C10
dρLabelID
C2×C140280C2xC140280,29

Semidirect products G=N:Q with N=C28 and Q=C10
extensionφ:Q→Aut NdρLabelID
C281C10 = C5×D28φ: C10/C5C2 ⊆ Aut C281402C28:1C10280,16
C282C10 = D7×C20φ: C10/C5C2 ⊆ Aut C281402C28:2C10280,15
C283C10 = D4×C35φ: C10/C5C2 ⊆ Aut C281402C28:3C10280,30

Non-split extensions G=N.Q with N=C28 and Q=C10
extensionφ:Q→Aut NdρLabelID
C28.1C10 = C5×Dic14φ: C10/C5C2 ⊆ Aut C282802C28.1C10280,14
C28.2C10 = C5×C7⋊C8φ: C10/C5C2 ⊆ Aut C282802C28.2C10280,2
C28.3C10 = Q8×C35φ: C10/C5C2 ⊆ Aut C282802C28.3C10280,31

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