Extensions 1→N→G→Q→1 with N=C64 and Q=C2

Direct product G=N×Q with N=C64 and Q=C2
dρLabelID
C2×C64128C2xC64128,159

Semidirect products G=N:Q with N=C64 and Q=C2
extensionφ:Q→Aut NdρLabelID
C641C2 = D64φ: C2/C1C2 ⊆ Aut C64642+C64:1C2128,161
C642C2 = SD128φ: C2/C1C2 ⊆ Aut C64642C64:2C2128,162
C643C2 = M7(2)φ: C2/C1C2 ⊆ Aut C64642C64:3C2128,160

Non-split extensions G=N.Q with N=C64 and Q=C2
extensionφ:Q→Aut NdρLabelID
C64.C2 = Q128φ: C2/C1C2 ⊆ Aut C641282-C64.C2128,163

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