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Extensions 1→N→G→Q→1 with N=C4.Dic5 and Q=C6

Direct product G=NxQ with N=C4.Dic5 and Q=C6
dρLabelID
C6xC4.Dic5240C6xC4.Dic5480,714

Semidirect products G=N:Q with N=C4.Dic5 and Q=C6
extensionφ:Q→Out NdρLabelID
C4.Dic5:1C6 = C3xD20:4C4φ: C6/C3 → C2 ⊆ Out C4.Dic51202C4.Dic5:1C6480,83
C4.Dic5:2C6 = C3xC20.46D4φ: C6/C3 → C2 ⊆ Out C4.Dic51204C4.Dic5:2C6480,101
C4.Dic5:3C6 = C3xC20.D4φ: C6/C3 → C2 ⊆ Out C4.Dic51204C4.Dic5:3C6480,111
C4.Dic5:4C6 = C3xD4:2Dic5φ: C6/C3 → C2 ⊆ Out C4.Dic51204C4.Dic5:4C6480,115
C4.Dic5:5C6 = C3xD5xM4(2)φ: C6/C3 → C2 ⊆ Out C4.Dic51204C4.Dic5:5C6480,699
C4.Dic5:6C6 = C3xD4.D10φ: C6/C3 → C2 ⊆ Out C4.Dic51204C4.Dic5:6C6480,725
C4.Dic5:7C6 = C3xC20.C23φ: C6/C3 → C2 ⊆ Out C4.Dic52404C4.Dic5:7C6480,735
C4.Dic5:8C6 = C3xD4.Dic5φ: C6/C3 → C2 ⊆ Out C4.Dic52404C4.Dic5:8C6480,741
C4.Dic5:9C6 = C3xD4:D10φ: C6/C3 → C2 ⊆ Out C4.Dic51204C4.Dic5:9C6480,742
C4.Dic5:10C6 = C3xD4.9D10φ: C6/C3 → C2 ⊆ Out C4.Dic52404C4.Dic5:10C6480,744
C4.Dic5:11C6 = C3xD20.3C4φ: trivial image2402C4.Dic5:11C6480,694

Non-split extensions G=N.Q with N=C4.Dic5 and Q=C6
extensionφ:Q→Out NdρLabelID
C4.Dic5.1C6 = C3xC40.6C4φ: C6/C3 → C2 ⊆ Out C4.Dic52402C4.Dic5.1C6480,97
C4.Dic5.2C6 = C3xC20.53D4φ: C6/C3 → C2 ⊆ Out C4.Dic52404C4.Dic5.2C6480,100
C4.Dic5.3C6 = C3xC4.12D20φ: C6/C3 → C2 ⊆ Out C4.Dic52404C4.Dic5.3C6480,102
C4.Dic5.4C6 = C3xC20.10D4φ: C6/C3 → C2 ⊆ Out C4.Dic52404C4.Dic5.4C6480,114

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