Extensions 1→N→G→Q→1 with N=C12 and Q=Dic5

Direct product G=NxQ with N=C12 and Q=Dic5
dρLabelID
C12xDic5240C12xDic5240,40

Semidirect products G=N:Q with N=C12 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C12:1Dic5 = C60:5C4φ: Dic5/C10C2 ⊆ Aut C12240C12:1Dic5240,74
C12:2Dic5 = C4xDic15φ: Dic5/C10C2 ⊆ Aut C12240C12:2Dic5240,72
C12:3Dic5 = C3xC4:Dic5φ: Dic5/C10C2 ⊆ Aut C12240C12:3Dic5240,42

Non-split extensions G=N.Q with N=C12 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C12.1Dic5 = C60.7C4φ: Dic5/C10C2 ⊆ Aut C121202C12.1Dic5240,71
C12.2Dic5 = C15:3C16φ: Dic5/C10C2 ⊆ Aut C122402C12.2Dic5240,3
C12.3Dic5 = C2xC15:3C8φ: Dic5/C10C2 ⊆ Aut C12240C12.3Dic5240,70
C12.4Dic5 = C3xC4.Dic5φ: Dic5/C10C2 ⊆ Aut C121202C12.4Dic5240,39
C12.5Dic5 = C3xC5:2C16central extension (φ=1)2402C12.5Dic5240,2
C12.6Dic5 = C6xC5:2C8central extension (φ=1)240C12.6Dic5240,38

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