Extensions 1→N→G→Q→1 with N=C3xD4 and Q=F5

Direct product G=NxQ with N=C3xD4 and Q=F5
dρLabelID
C3xD4xF5608C3xD4xF5480,1054

Semidirect products G=N:Q with N=C3xD4 and Q=F5
extensionφ:Q→Out NdρLabelID
(C3xD4):1F5 = D20:Dic3φ: F5/D5C2 ⊆ Out C3xD41208(C3xD4):1F5480,312
(C3xD4):2F5 = Dic10:Dic3φ: F5/D5C2 ⊆ Out C3xD41208(C3xD4):2F5480,313
(C3xD4):3F5 = D4xC3:F5φ: F5/D5C2 ⊆ Out C3xD4608(C3xD4):3F5480,1067
(C3xD4):4F5 = C3xD20:C4φ: F5/D5C2 ⊆ Out C3xD41208(C3xD4):4F5480,287
(C3xD4):5F5 = C3xD4:F5φ: F5/D5C2 ⊆ Out C3xD41208(C3xD4):5F5480,288

Non-split extensions G=N.Q with N=C3xD4 and Q=F5
extensionφ:Q→Out NdρLabelID
(C3xD4).F5 = Dic10.Dic3φ: F5/D5C2 ⊆ Out C3xD42408(C3xD4).F5480,1066
(C3xD4).2F5 = C3xD4.F5φ: trivial image2408(C3xD4).2F5480,1053

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