Extensions 1→N→G→Q→1 with N=C8 and Q=C34

Direct product G=NxQ with N=C8 and Q=C34
dρLabelID
C2xC136272C2xC136272,23

Semidirect products G=N:Q with N=C8 and Q=C34
extensionφ:Q→Aut NdρLabelID
C8:1C34 = D8xC17φ: C34/C17C2 ⊆ Aut C81362C8:1C34272,25
C8:2C34 = SD16xC17φ: C34/C17C2 ⊆ Aut C81362C8:2C34272,26
C8:3C34 = M4(2)xC17φ: C34/C17C2 ⊆ Aut C81362C8:3C34272,24

Non-split extensions G=N.Q with N=C8 and Q=C34
extensionφ:Q→Aut NdρLabelID
C8.C34 = Q16xC17φ: C34/C17C2 ⊆ Aut C82722C8.C34272,27

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