Extensions 1→N→G→Q→1 with N=C7 and Q=C22×D7

Direct product G=N×Q with N=C7 and Q=C22×D7
dρLabelID
D7×C2×C1456D7xC2xC14392,42

Semidirect products G=N:Q with N=C7 and Q=C22×D7
extensionφ:Q→Aut NdρLabelID
C71(C22×D7) = C2×D72φ: C22×D7/D14C2 ⊆ Aut C7284+C7:1(C2^2xD7)392,41
C72(C22×D7) = C22×C7⋊D7φ: C22×D7/C2×C14C2 ⊆ Aut C7196C7:2(C2^2xD7)392,43

Non-split extensions G=N.Q with N=C7 and Q=C22×D7
extensionφ:Q→Aut NdρLabelID
C7.(C22×D7) = C22×D49φ: C22×D7/C2×C14C2 ⊆ Aut C7196C7.(C2^2xD7)392,12

׿
×
𝔽