Extensions 1→N→G→Q→1 with N=C4○D20 and Q=C6

Direct product G=N×Q with N=C4○D20 and Q=C6
dρLabelID
C6×C4○D20240C6xC4oD20480,1138

Semidirect products G=N:Q with N=C4○D20 and Q=C6
extensionφ:Q→Out NdρLabelID
C4○D201C6 = C3×D407C2φ: C6/C3C2 ⊆ Out C4○D202402C4oD20:1C6480,697
C4○D202C6 = C3×C8⋊D10φ: C6/C3C2 ⊆ Out C4○D201204C4oD20:2C6480,701
C4○D203C6 = C3×D4.D10φ: C6/C3C2 ⊆ Out C4○D201204C4oD20:3C6480,725
C4○D204C6 = C3×D4.8D10φ: C6/C3C2 ⊆ Out C4○D202404C4oD20:4C6480,743
C4○D205C6 = C3×D46D10φ: C6/C3C2 ⊆ Out C4○D201204C4oD20:5C6480,1141
C4○D206C6 = C3×Q8.10D10φ: C6/C3C2 ⊆ Out C4○D202404C4oD20:6C6480,1144
C4○D207C6 = C3×D5×C4○D4φ: C6/C3C2 ⊆ Out C4○D201204C4oD20:7C6480,1145
C4○D208C6 = C3×D48D10φ: C6/C3C2 ⊆ Out C4○D201204C4oD20:8C6480,1146
C4○D209C6 = C3×D4.10D10φ: C6/C3C2 ⊆ Out C4○D202404C4oD20:9C6480,1147

Non-split extensions G=N.Q with N=C4○D20 and Q=C6
extensionφ:Q→Out NdρLabelID
C4○D20.1C6 = C3×D204C4φ: C6/C3C2 ⊆ Out C4○D201202C4oD20.1C6480,83
C4○D20.2C6 = C3×D207C4φ: C6/C3C2 ⊆ Out C4○D201204C4oD20.2C6480,103
C4○D20.3C6 = C3×D20.2C4φ: C6/C3C2 ⊆ Out C4○D202404C4oD20.3C6480,700
C4○D20.4C6 = C3×C8.D10φ: C6/C3C2 ⊆ Out C4○D202404C4oD20.4C6480,702
C4○D20.5C6 = C3×C20.C23φ: C6/C3C2 ⊆ Out C4○D202404C4oD20.5C6480,735
C4○D20.6C6 = C3×D20.3C4φ: trivial image2402C4oD20.6C6480,694

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