# Extensions 1→N→G→Q→1 with N=D52 and Q=C22

Direct product G=N×Q with N=D52 and Q=C22
dρLabelID
C22×D52208C2^2xD52416,214

Semidirect products G=N:Q with N=D52 and Q=C22
extensionφ:Q→Out NdρLabelID
D521C22 = D8×D13φ: C22/C1C22 ⊆ Out D521044+D52:1C2^2416,131
D522C22 = Q8⋊D26φ: C22/C1C22 ⊆ Out D521044+D52:2C2^2416,135
D523C22 = C2×D104φ: C22/C2C2 ⊆ Out D52208D52:3C2^2416,124
D524C22 = C8⋊D26φ: C22/C2C2 ⊆ Out D521044+D52:4C2^2416,129
D525C22 = C2×D4⋊D13φ: C22/C2C2 ⊆ Out D52208D52:5C2^2416,152
D526C22 = D526C22φ: C22/C2C2 ⊆ Out D521044D52:6C2^2416,153
D527C22 = C2×D4×D13φ: C22/C2C2 ⊆ Out D52104D52:7C2^2416,216
D528C22 = D46D26φ: C22/C2C2 ⊆ Out D521044D52:8C2^2416,218
D529C22 = C2×D52⋊C2φ: C22/C2C2 ⊆ Out D52208D52:9C2^2416,220
D5210C22 = C4○D4×D13φ: C22/C2C2 ⊆ Out D521044D52:10C2^2416,222
D5211C22 = D48D26φ: C22/C2C2 ⊆ Out D521044+D52:11C2^2416,223
D5212C22 = C2×D525C2φ: trivial image208D52:12C2^2416,215

Non-split extensions G=N.Q with N=D52 and Q=C22
extensionφ:Q→Out NdρLabelID
D52.1C22 = D8⋊D13φ: C22/C1C22 ⊆ Out D521044D52.1C2^2416,132
D52.2C22 = SD16×D13φ: C22/C1C22 ⊆ Out D521044D52.2C2^2416,134
D52.3C22 = D26.6D4φ: C22/C1C22 ⊆ Out D522084D52.3C2^2416,137
D52.4C22 = Q16⋊D13φ: C22/C1C22 ⊆ Out D522084D52.4C2^2416,139
D52.5C22 = D104⋊C2φ: C22/C1C22 ⊆ Out D522084+D52.5C2^2416,140
D52.6C22 = C2×C104⋊C2φ: C22/C2C2 ⊆ Out D52208D52.6C2^2416,123
D52.7C22 = D1047C2φ: C22/C2C2 ⊆ Out D522082D52.7C2^2416,125
D52.8C22 = C8.D26φ: C22/C2C2 ⊆ Out D522084-D52.8C2^2416,130
D52.9C22 = C2×Q8⋊D13φ: C22/C2C2 ⊆ Out D52208D52.9C2^2416,162
D52.10C22 = Q8.D26φ: C22/C2C2 ⊆ Out D522084D52.10C2^2416,163
D52.11C22 = D4⋊D26φ: C22/C2C2 ⊆ Out D521044+D52.11C2^2416,170
D52.12C22 = C52.C23φ: C22/C2C2 ⊆ Out D522084D52.12C2^2416,171
D52.13C22 = Q8.10D26φ: C22/C2C2 ⊆ Out D522084D52.13C2^2416,221
D52.14C22 = D4.10D26φ: trivial image2084-D52.14C2^2416,224

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