Extensions 1→N→G→Q→1 with N=C4oD20 and Q=C6

Direct product G=NxQ with N=C4oD20 and Q=C6
dρLabelID
C6xC4oD20240C6xC4oD20480,1138

Semidirect products G=N:Q with N=C4oD20 and Q=C6
extensionφ:Q→Out NdρLabelID
C4oD20:1C6 = C3xD40:7C2φ: C6/C3C2 ⊆ Out C4oD202402C4oD20:1C6480,697
C4oD20:2C6 = C3xC8:D10φ: C6/C3C2 ⊆ Out C4oD201204C4oD20:2C6480,701
C4oD20:3C6 = C3xD4.D10φ: C6/C3C2 ⊆ Out C4oD201204C4oD20:3C6480,725
C4oD20:4C6 = C3xD4.8D10φ: C6/C3C2 ⊆ Out C4oD202404C4oD20:4C6480,743
C4oD20:5C6 = C3xD4:6D10φ: C6/C3C2 ⊆ Out C4oD201204C4oD20:5C6480,1141
C4oD20:6C6 = C3xQ8.10D10φ: C6/C3C2 ⊆ Out C4oD202404C4oD20:6C6480,1144
C4oD20:7C6 = C3xD5xC4oD4φ: C6/C3C2 ⊆ Out C4oD201204C4oD20:7C6480,1145
C4oD20:8C6 = C3xD4:8D10φ: C6/C3C2 ⊆ Out C4oD201204C4oD20:8C6480,1146
C4oD20:9C6 = C3xD4.10D10φ: C6/C3C2 ⊆ Out C4oD202404C4oD20:9C6480,1147

Non-split extensions G=N.Q with N=C4oD20 and Q=C6
extensionφ:Q→Out NdρLabelID
C4oD20.1C6 = C3xD20:4C4φ: C6/C3C2 ⊆ Out C4oD201202C4oD20.1C6480,83
C4oD20.2C6 = C3xD20:7C4φ: C6/C3C2 ⊆ Out C4oD201204C4oD20.2C6480,103
C4oD20.3C6 = C3xD20.2C4φ: C6/C3C2 ⊆ Out C4oD202404C4oD20.3C6480,700
C4oD20.4C6 = C3xC8.D10φ: C6/C3C2 ⊆ Out C4oD202404C4oD20.4C6480,702
C4oD20.5C6 = C3xC20.C23φ: C6/C3C2 ⊆ Out C4oD202404C4oD20.5C6480,735
C4oD20.6C6 = C3xD20.3C4φ: trivial image2402C4oD20.6C6480,694

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