Extensions 1→N→G→Q→1 with N=C68 and Q=C2

Direct product G=N×Q with N=C68 and Q=C2
dρLabelID
C2×C68136C2xC68136,9

Semidirect products G=N:Q with N=C68 and Q=C2
extensionφ:Q→Aut NdρLabelID
C681C2 = D68φ: C2/C1C2 ⊆ Aut C68682+C68:1C2136,6
C682C2 = C4×D17φ: C2/C1C2 ⊆ Aut C68682C68:2C2136,5
C683C2 = D4×C17φ: C2/C1C2 ⊆ Aut C68682C68:3C2136,10

Non-split extensions G=N.Q with N=C68 and Q=C2
extensionφ:Q→Aut NdρLabelID
C68.1C2 = Dic34φ: C2/C1C2 ⊆ Aut C681362-C68.1C2136,4
C68.2C2 = C173C8φ: C2/C1C2 ⊆ Aut C681362C68.2C2136,1
C68.3C2 = Q8×C17φ: C2/C1C2 ⊆ Aut C681362C68.3C2136,11

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