Extensions 1→N→G→Q→1 with N=D40 and Q=C6

Direct product G=N×Q with N=D40 and Q=C6
dρLabelID
C6×D40240C6xD40480,696

Semidirect products G=N:Q with N=D40 and Q=C6
extensionφ:Q→Out NdρLabelID
D401C6 = C3×D80φ: C6/C3C2 ⊆ Out D402402D40:1C6480,77
D402C6 = C3×C8⋊D10φ: C6/C3C2 ⊆ Out D401204D40:2C6480,701
D403C6 = C3×C5⋊D16φ: C6/C3C2 ⊆ Out D402404D40:3C6480,104
D404C6 = C3×D5×D8φ: C6/C3C2 ⊆ Out D401204D40:4C6480,703
D405C6 = C3×Q8.D10φ: C6/C3C2 ⊆ Out D402404D40:5C6480,712
D406C6 = C3×D40⋊C2φ: C6/C3C2 ⊆ Out D401204D40:6C6480,707
D407C6 = C3×D407C2φ: trivial image2402D40:7C6480,697

Non-split extensions G=N.Q with N=D40 and Q=C6
extensionφ:Q→Out NdρLabelID
D40.1C6 = C3×C16⋊D5φ: C6/C3C2 ⊆ Out D402402D40.1C6480,78
D40.2C6 = C3×C5⋊SD32φ: C6/C3C2 ⊆ Out D402404D40.2C6480,106

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