Extensions 1→N→G→Q→1 with N=Dic20 and Q=C6

Direct product G=N×Q with N=Dic20 and Q=C6

Semidirect products G=N:Q with N=Dic20 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic201C6 = C3×C16⋊D5φ: C6/C3C2 ⊆ Out Dic202402Dic20:1C6480,78
Dic202C6 = C3×C8.D10φ: C6/C3C2 ⊆ Out Dic202404Dic20:2C6480,702
Dic203C6 = C3×D8.D5φ: C6/C3C2 ⊆ Out Dic202404Dic20:3C6480,105
Dic204C6 = C3×D83D5φ: C6/C3C2 ⊆ Out Dic202404Dic20:4C6480,705
Dic205C6 = C3×D5×Q16φ: C6/C3C2 ⊆ Out Dic202404Dic20:5C6480,710
Dic206C6 = C3×SD16⋊D5φ: C6/C3C2 ⊆ Out Dic202404Dic20:6C6480,708
Dic207C6 = C3×D407C2φ: trivial image2402Dic20:7C6480,697

Non-split extensions G=N.Q with N=Dic20 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic20.1C6 = C3×Dic40φ: C6/C3C2 ⊆ Out Dic204802Dic20.1C6480,79
Dic20.2C6 = C3×C5⋊Q32φ: C6/C3C2 ⊆ Out Dic204804Dic20.2C6480,107