Extensions 1→N→G→Q→1 with N=Q8xD5 and Q=C6

Direct product G=NxQ with N=Q8xD5 and Q=C6
dρLabelID
C6xQ8xD5240C6xQ8xD5480,1142

Semidirect products G=N:Q with N=Q8xD5 and Q=C6
extensionφ:Q→Out NdρLabelID
(Q8xD5):1C6 = SL2(F3).11D10φ: C6/C1C6 ⊆ Out Q8xD5804(Q8xD5):1C6480,1040
(Q8xD5):2C6 = D20.A4φ: C6/C1C6 ⊆ Out Q8xD5804-(Q8xD5):2C6480,1043
(Q8xD5):3C6 = C2xD5xSL2(F3)φ: C6/C2C3 ⊆ Out Q8xD580(Q8xD5):3C6480,1039
(Q8xD5):4C6 = C3xD5xSD16φ: C6/C3C2 ⊆ Out Q8xD51204(Q8xD5):4C6480,706
(Q8xD5):5C6 = C3xSD16:D5φ: C6/C3C2 ⊆ Out Q8xD52404(Q8xD5):5C6480,708
(Q8xD5):6C6 = C3xQ16:D5φ: C6/C3C2 ⊆ Out Q8xD52404(Q8xD5):6C6480,711
(Q8xD5):7C6 = C3xQ8.10D10φ: C6/C3C2 ⊆ Out Q8xD52404(Q8xD5):7C6480,1144
(Q8xD5):8C6 = C3xD4.10D10φ: C6/C3C2 ⊆ Out Q8xD52404(Q8xD5):8C6480,1147
(Q8xD5):9C6 = C3xD5xC4oD4φ: trivial image1204(Q8xD5):9C6480,1145

Non-split extensions G=N.Q with N=Q8xD5 and Q=C6
extensionφ:Q→Out NdρLabelID
(Q8xD5).C6 = F5xSL2(F3)φ: C6/C1C6 ⊆ Out Q8xD5408-(Q8xD5).C6480,965
(Q8xD5).2C6 = D5xC4.A4φ: C6/C2C3 ⊆ Out Q8xD5804(Q8xD5).2C6480,1042
(Q8xD5).3C6 = C3xD5xQ16φ: C6/C3C2 ⊆ Out Q8xD52404(Q8xD5).3C6480,710
(Q8xD5).4C6 = C3xQ8:F5φ: C6/C3C2 ⊆ Out Q8xD51208(Q8xD5).4C6480,289
(Q8xD5).5C6 = C3xQ8xF5φ: C6/C3C2 ⊆ Out Q8xD51208(Q8xD5).5C6480,1056

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