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

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

Semidirect products G=N:Q with N=C6 and Q=Dic20
extensionφ:Q→Aut NdρLabelID
C61Dic20 = C2×Dic60φ: Dic20/C40C2 ⊆ Aut C6480C6:1Dic20480,870
C62Dic20 = C2×C3⋊Dic20φ: Dic20/Dic10C2 ⊆ Aut C6480C6:2Dic20480,395

Non-split extensions G=N.Q with N=C6 and Q=Dic20
extensionφ:Q→Aut NdρLabelID
C6.1Dic20 = Dic308C4φ: Dic20/C40C2 ⊆ Aut C6480C6.1Dic20480,176
C6.2Dic20 = C1209C4φ: Dic20/C40C2 ⊆ Aut C6480C6.2Dic20480,178
C6.3Dic20 = C6.Dic20φ: Dic20/Dic10C2 ⊆ Aut C6480C6.3Dic20480,47
C6.4Dic20 = Dic3012C4φ: Dic20/Dic10C2 ⊆ Aut C6480C6.4Dic20480,50
C6.5Dic20 = C60.5Q8φ: Dic20/Dic10C2 ⊆ Aut C6480C6.5Dic20480,66
C6.6Dic20 = C3×C20.44D4central extension (φ=1)480C6.6Dic20480,94
C6.7Dic20 = C3×C405C4central extension (φ=1)480C6.7Dic20480,96