Extensions 1→N→G→Q→1 with N=C9:C8 and Q=C22

Direct product G=NxQ with N=C9:C8 and Q=C22
dρLabelID
C22xC9:C8288C2^2xC9:C8288,130

Semidirect products G=N:Q with N=C9:C8 and Q=C22
extensionφ:Q→Out NdρLabelID
C9:C8:1C22 = D8:D9φ: C22/C1C22 ⊆ Out C9:C8724C9:C8:1C2^2288,121
C9:C8:2C22 = D72:C2φ: C22/C1C22 ⊆ Out C9:C8724+C9:C8:2C2^2288,124
C9:C8:3C22 = D36:6C22φ: C22/C1C22 ⊆ Out C9:C8724C9:C8:3C2^2288,143
C9:C8:4C22 = D4:D18φ: C22/C1C22 ⊆ Out C9:C8724+C9:C8:4C2^2288,160
C9:C8:5C22 = D8xD9φ: C22/C2C2 ⊆ Out C9:C8724+C9:C8:5C2^2288,120
C9:C8:6C22 = SD16xD9φ: C22/C2C2 ⊆ Out C9:C8724C9:C8:6C2^2288,123
C9:C8:7C22 = C2xD4.D9φ: C22/C2C2 ⊆ Out C9:C8144C9:C8:7C2^2288,141
C9:C8:8C22 = C2xD4:D9φ: C22/C2C2 ⊆ Out C9:C8144C9:C8:8C2^2288,142
C9:C8:9C22 = C2xQ8:2D9φ: C22/C2C2 ⊆ Out C9:C8144C9:C8:9C2^2288,152
C9:C8:10C22 = C2xC8:D9φ: C22/C2C2 ⊆ Out C9:C8144C9:C8:10C2^2288,111
C9:C8:11C22 = M4(2)xD9φ: C22/C2C2 ⊆ Out C9:C8724C9:C8:11C2^2288,116
C9:C8:12C22 = C2xC4.Dic9φ: C22/C2C2 ⊆ Out C9:C8144C9:C8:12C2^2288,131
C9:C8:13C22 = C2xC8xD9φ: trivial image144C9:C8:13C2^2288,110

Non-split extensions G=N.Q with N=C9:C8 and Q=C22
extensionφ:Q→Out NdρLabelID
C9:C8.1C22 = SD16:D9φ: C22/C1C22 ⊆ Out C9:C81444-C9:C8.1C2^2288,125
C9:C8.2C22 = Q16:D9φ: C22/C1C22 ⊆ Out C9:C81444C9:C8.2C2^2288,128
C9:C8.3C22 = C36.C23φ: C22/C1C22 ⊆ Out C9:C81444C9:C8.3C2^2288,153
C9:C8.4C22 = D4.D18φ: C22/C1C22 ⊆ Out C9:C81444-C9:C8.4C2^2288,159
C9:C8.5C22 = D8:3D9φ: C22/C2C2 ⊆ Out C9:C81444-C9:C8.5C2^2288,122
C9:C8.6C22 = SD16:3D9φ: C22/C2C2 ⊆ Out C9:C81444C9:C8.6C2^2288,126
C9:C8.7C22 = Q16xD9φ: C22/C2C2 ⊆ Out C9:C81444-C9:C8.7C2^2288,127
C9:C8.8C22 = D72:5C2φ: C22/C2C2 ⊆ Out C9:C81444+C9:C8.8C2^2288,129
C9:C8.9C22 = C2xC9:Q16φ: C22/C2C2 ⊆ Out C9:C8288C9:C8.9C2^2288,151
C9:C8.10C22 = D4.9D18φ: C22/C2C2 ⊆ Out C9:C81444C9:C8.10C2^2288,161
C9:C8.11C22 = D36.2C4φ: C22/C2C2 ⊆ Out C9:C81442C9:C8.11C2^2288,112
C9:C8.12C22 = D36.C4φ: C22/C2C2 ⊆ Out C9:C81444C9:C8.12C2^2288,117
C9:C8.13C22 = D4.Dic9φ: C22/C2C2 ⊆ Out C9:C81444C9:C8.13C2^2288,158

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