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

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

Semidirect products G=N:Q with N=C4.Dic5 and Q=C6
extensionφ:Q→Out NdρLabelID
C4.Dic51C6 = C3×D204C4φ: C6/C3C2 ⊆ Out C4.Dic51202C4.Dic5:1C6480,83
C4.Dic52C6 = C3×C20.46D4φ: C6/C3C2 ⊆ Out C4.Dic51204C4.Dic5:2C6480,101
C4.Dic53C6 = C3×C20.D4φ: C6/C3C2 ⊆ Out C4.Dic51204C4.Dic5:3C6480,111
C4.Dic54C6 = C3×D42Dic5φ: C6/C3C2 ⊆ Out C4.Dic51204C4.Dic5:4C6480,115
C4.Dic55C6 = C3×D5×M4(2)φ: C6/C3C2 ⊆ Out C4.Dic51204C4.Dic5:5C6480,699
C4.Dic56C6 = C3×D4.D10φ: C6/C3C2 ⊆ Out C4.Dic51204C4.Dic5:6C6480,725
C4.Dic57C6 = C3×C20.C23φ: C6/C3C2 ⊆ Out C4.Dic52404C4.Dic5:7C6480,735
C4.Dic58C6 = C3×D4.Dic5φ: C6/C3C2 ⊆ Out C4.Dic52404C4.Dic5:8C6480,741
C4.Dic59C6 = C3×D4⋊D10φ: C6/C3C2 ⊆ Out C4.Dic51204C4.Dic5:9C6480,742
C4.Dic510C6 = C3×D4.9D10φ: C6/C3C2 ⊆ Out C4.Dic52404C4.Dic5:10C6480,744
C4.Dic511C6 = C3×D20.3C4φ: 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 = C3×C40.6C4φ: C6/C3C2 ⊆ Out C4.Dic52402C4.Dic5.1C6480,97
C4.Dic5.2C6 = C3×C20.53D4φ: C6/C3C2 ⊆ Out C4.Dic52404C4.Dic5.2C6480,100
C4.Dic5.3C6 = C3×C4.12D20φ: C6/C3C2 ⊆ Out C4.Dic52404C4.Dic5.3C6480,102
C4.Dic5.4C6 = C3×C20.10D4φ: C6/C3C2 ⊆ Out C4.Dic52404C4.Dic5.4C6480,114

׿
×
𝔽