Extensions 1→N→G→Q→1 with N=C7:D4 and Q=C22

Direct product G=NxQ with N=C7:D4 and Q=C22
dρLabelID
C22xC7:D4112C2^2xC7:D4224,188

Semidirect products G=N:Q with N=C7:D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C7:D4:1C22 = C2xD4xD7φ: C22/C2C2 ⊆ Out C7:D456C7:D4:1C2^2224,178
C7:D4:2C22 = C2xD4:2D7φ: C22/C2C2 ⊆ Out C7:D4112C7:D4:2C2^2224,179
C7:D4:3C22 = D4:6D14φ: C22/C2C2 ⊆ Out C7:D4564C7:D4:3C2^2224,180
C7:D4:4C22 = D7xC4oD4φ: C22/C2C2 ⊆ Out C7:D4564C7:D4:4C2^2224,184
C7:D4:5C22 = D4:8D14φ: C22/C2C2 ⊆ Out C7:D4564+C7:D4:5C2^2224,185
C7:D4:6C22 = C2xC4oD28φ: trivial image112C7:D4:6C2^2224,177

Non-split extensions G=N.Q with N=C7:D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C7:D4.C22 = D4.10D14φ: C22/C2C2 ⊆ Out C7:D41124-C7:D4.C2^2224,186
C7:D4.2C22 = Q8.10D14φ: trivial image1124C7:D4.2C2^2224,183

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