Extensions 1→N→G→Q→1 with N=C170 and Q=C2

Direct product G=N×Q with N=C170 and Q=C2
dρLabelID
C2×C170340C2xC170340,15

Semidirect products G=N:Q with N=C170 and Q=C2
extensionφ:Q→Aut NdρLabelID
C1701C2 = D170φ: C2/C1C2 ⊆ Aut C1701702+C170:1C2340,14
C1702C2 = C10×D17φ: C2/C1C2 ⊆ Aut C1701702C170:2C2340,12
C1703C2 = D5×C34φ: C2/C1C2 ⊆ Aut C1701702C170:3C2340,13

Non-split extensions G=N.Q with N=C170 and Q=C2
extensionφ:Q→Aut NdρLabelID
C170.1C2 = Dic85φ: C2/C1C2 ⊆ Aut C1703402-C170.1C2340,3
C170.2C2 = C5×Dic17φ: C2/C1C2 ⊆ Aut C1703402C170.2C2340,2
C170.3C2 = C17×Dic5φ: C2/C1C2 ⊆ Aut C1703402C170.3C2340,1

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